Page under construction: It will take several months to bring this page up to date. The first time that a term is defined in a study unit, it appears in bold. Codes in square brackets at the end of each definition below refer to the webpage or study unit where the term was first defined i.e. CT - Classic Text, CR - Critical Reasoning, H - Homepage. Click the code to take you directly to the relevant document.
5-sigma a cutoff value used by particle physicists equivalent to a p-valve of 3 x 10-7 or about 1 in 3.5 million to decide if a result is sufficiently improbable to have been due to chance
Abrahamic faiths a grouping of several religions that revere Abraham in their scripture, the largest and most influential of which being Judaism, Christianity, and Islam (Wikipedia: Abrahamic religions)
absolute fitness the average number of offspring of a given type per parent of the same type – one may also speak of the absolute fitness of a genotype or an allele cf. relative fitness
abstracta calculation-bound entities or logical constructs cf. illata
accessibility relation in relational semantics of modal logic, a binary relation R that relates two possible worlds w to v so that a modal formula’s truth valve at possible world w can depend on what is true at another possible world v (Wikipedia)
act utilitarianism a utilitarian theory according to which an action is right insofar as it maximises utility cf. rule utilitarianism
adaptation the ability of an organism and its decedents to become better suited to their environment
addition an elementary valid argument of the form: A /∴ A or B
additivity of equality the property of arithmetic addition such that if equal quantities are added to equal quantities their sums will be equal
adequate derivation system a derivation system is said to be adequate for classical propositional logic if it is both sound and complete
ad hominem a fallacy that involves an attack or casting aspersions upon the arguer, rather than dealing with the argument itself – a.k.a. playing the man and not the ball
aesthetics that branch of philosophy that deals with questions of beauty and artistic appreciation
aetiology (evolutionary biology) the study of the historical circumstances of the emergence of various biological functions cf. selected effects (SE) analysis of function
affirming the consequent a fallacy involving a conditional statement and another statement which confirms that the consequent of the conditional is true and then erroneously concludes that the antecedent must therefore be true
a fortiori L. a fortiori argumento “with greater reason” or “with more convincing force” – used in drawing a conclusion that is inferred to be even more certain than another (Merriam-Webster Dictionary)
agnosticism 1. the position of claiming not to know whether God exists 2. the belief that one cannot know whether or not God exists
akrasia see weakness of the will
alethic modalities modalities involving truth (or falsehood)
algebraic interpretation (based on Boolean algebra) involves the interpretation of formulae of propositional logic based on a bivalent Boolean algebra by assigning either unit or zero to each atomic formula and using the algebra’s join, meet, and complement operations to define the respective values of disjunctions, conjunctions, and negations – the set of all such interpretations is know as a semantics based on the Boolean algebra (Bergmann, M. An introduction to Many-Valued and Fuzzy Logic)
algorithm a process or set of rules to be followed in problem-solving operations cf. substrate-neutral algorithm
alleles (allelomorphs) alternative forms of a gene that are able to occupy a particular locus or region of a chromosome cf. gene, chromosome, locus
allopathic medicine the practice of medicine which uses evidence-based remedies that produce effects different from those caused by the disease or disorder cf. homeopathic medicine
alternate-form reliability or equivalence the closeness of agreement between the results of two or more research instruments e.g. two different questionnaires, that measure the same attribute or construct
alternative facts a misstatement of the truth, a lie… (MacMillian Dictionary)
alternative hypothesis H1 1. in general, a statement that claims that some genuine phenomenon is being observed 2. in statistical hypothesis testing, a statement that claims that the observed or inferred sample result is of some nonrandom origin cf. null hypothesis
altruism an entity, … is said to be altruistic if it behaves in such a way as to increase another such entity’s welfare at the expense of its own. (Dawkins, R. The Selfish Gene) cf. reciprocal altruism, welfare
amino acids organic compounds that contain amine (–NH2) and carboxyl (–COOH) functional groups, along with a side chain (R group) specific to each amino acid; only 20 of which are used in the genetic code as “building blocks” of proteins (Wikipedia)
amnesia a deficit in memory caused by chemical and/or physical damage or disease to the brain which may be impaired at the stage of encoding, storage, and/or or retrieval cf. retrograde amnesia and anterograde amnesia
amphiboly ambiguity that results from the peculiar grammatical structure of a sentence
analogy a form of inference that allows the transfer of information or meaning from one particular (the source) to another particular (the target), both of which are similar in important respects
analysis of variance (ANOVA) a collection of statistical techniques for testing whether 3 or more population means are equal
analytic a logistic system that is a propositional calculus is called analytic, if and only if, all of its theorems become tautologies on their normal interpretations (Copi, I. Symbolic Logic 5th ed.)
analytic philosophy proceeds by breaking problems down into their discrete components and analyses each of these to make sense of the larger picture – this approach is tedious, meticulous and necessarily piecemeal, in a good way cf. continental philosophy
analytic statement one that is true simply in virtue of its meaning e.g. All bachelors are unmarried
anaphoric adjective, the use of an expression that depends for its interpretation on some other expression in the discourse e.g. pronouns cf. deictic
anchoring and adjustment heuristic one that describes how people rely too heavily on the first piece of information they are given by using it as a reference point or “anchor” from which they then make insufficient incremental adjustments based on further information
anomalous monism a theory about the relation between mental events and physical events according to which mental events may be identified with some or other physical events; however there is no lawful relation between the two (Davidson, D. Metal Events) cf. psychophysical laws
antecedent the “if…” clause of a conditional statement – also called the protasis
anterograde amnesia the inability to crate new memories following some chemical or physical assault to the brain; however long-term memories created prior to the event(s) are usually spared cf. retrograde amnesia
anthropic principle an explanation of how the physical constants of the universe could be so fine-tuned so as to support conscious life: accordingly, if it were not so, we would simply not be around to observe it; therefore the fact that we conscious creatures are around to wonder at the question is proof enough that the universe we inhabit must be one capable of supporting conscious life
anthropogenic man made; caused by humans
antisymmetric relation there is no pair of distinct elements of a set X, each of which is related by a relation R to the other (note:– while every antisymmetric relation is also asymmetrical, not every asymmetrical relation is antisymmetric) – Formula:
aperiodic crystal one that does not repeat its structure regularly
apodosis see consequent
apophasis a rhetorical device used to imply something, usually derogatory, by not explicitly saying so – a.k.a. argument by innuendo
a posteriori L. known or justified by experience e.g. that 'some bachelors are miserable' is known is dependent on experience or evidence and is hence true a posteriori
appeal to authority a fallacy in which a claimed authority is used to support the conclusion; L ab auctoritate or ad verecundiam
appeal to ignorance a fallacy that invokes ignorance about some matter to draw attention away from the main argument instead of engaging with it; L. ad ignorantiam
appeal to the majority a fallacy in which a majority opinion or sentiment is used as a premise; L. ad populum
appeal to nature a fallacy that claims that what is “natural” is inherently “good” or that what is “unnatural” is inherently “bad”
application the predication, affirmation or denial of something about a subject
a priori L. known or justified independently of experience e.g. 'All bachelors are unmarried' is true a priori, as are all logical and mathematical theorems
Archimedean point a.k.a. a “God’s-eye view” – a hypothetical viewpoint from which certain objective truths can be perfectly perceived (Wikipedia)
architectural constraints those imposed by the properties of the materials out of which organism are built, including their organization or structure
argument an interconnected series of propositions intended to support one or more conclusions
argument by innuendo see apophasis
argument from brain damage an argument against dualism that takes cognisance of the specific loss or comprised mental functioning of a person who has sustained injuries to specific parts of the brain
argument from psychopharmacology an argument against dualism that takes cognisance of the efficacy of certain psychoactive chemicals to treat specific mental disorders
argument from reason an argument for the existence of God which relies on a subsidiary argument against metaphysical naturalism
argument from subjectivity any of several arguments in favour of dualism which rely on the observation that that there is some subjective quality to internal mental states that mere physical phenomena appear to lack
arithmetic mean a measure of central tendency, colloquially referred to as the “average”, given by the sum of a collection of values divided by a count of their number
arity the number of arguments or operands that a function or relation takes
artefact in the sciences, something that is observed that is not naturally present, but occurs as a result of some preparative or investigative procedure
artificial intelligence the theory and development of computer systems able to perform tasks normally requiring human intelligence, such as visual perception, speech recognition, decision-making, and translation between languages (Oxford Languages)
artificial selection the goal directed generation of numerous and diverse entities of a kind followed by the identification of desirable properties as well as the selective retention and propagation of those entities in further rounds of generation, selection and propagation e.g. selective breeding; the generation, testing and retention of prospective organic molecules in the pharmacological industry cf. natural selection
association to the left a convention that requires that an expression’s parts be grouped by parentheses to the left
associativity of sum and product of classes for the operations of sum and product, rearranging the parentheses in an expression will not change the result
asymmetrical relation a relation is asymmetrical if x has a relation R to y then y does not have a relation R to x cf. antisymmetric relation – formula:
asymptotically The manner in which a function, series or formula approaches a limiting value or condition, coming ever closer but never meeting or intersecting – adverb of asymptote
atheism the belief that there are no gods or God cf. new atheism
atheoretical a system of classification that makes no theoretical assumptions about the causes or significance of the entities it classifies
atomic formulae those with no deeper propositional structure or subformulae
atomistic view of individuals the belief that society is made up of a collection of self-interested and largely self-sufficient individuals, operating as separate “atoms” (Heywood, A. Global Politics) cf. social thesis (political philosophy)
attribution effect see correspondence bias
attributive adjective, the use of a singular term, or token of that use, to refer (without any particular object in mind) to whatever alone has a certain property – attributive terms depend for their identifying reference on denotation (Devitt & Sterelny, Language and Reality 2nd ed.) cf. designational
autocorrelation occurs when there is correlation among data between the values of the same variables based on related objects; typically this occurs when sampling data from the same source instead of it being randomly selected
automaticity the ability to do things without occupying the mind with the low-level details required, allowing it to become an automatic response pattern or habit (Wikipedia) cf. automatism
automatism in medicine, a set of brief unconscious behaviours during which a subject is unaware of their actions, as in complex partial seizures or sleepwalking cf. automaticity
autosomes chromosomes other than sex chromosomes
availability heuristic the tendency to make judgements about the frequency of events based on how easy it is to recall similar events
axiom a statement or proposition which is self-evidently true, requiring no proof
axiom of choice a statement in the language of set theory that makes it possible to form sets by choosing an element simultaneously from each member of an infinite collection of sets, even when no algorithm exists for the selection: one version states that, given any collection of disjoint sets (sets having no common elements), there exists at least one set consisting of one element from each of the nonempty sets in the collection – collectively, these chosen elements make up the “choice set”; another common formulation is to say that for any set S there exists a function 𝑓 (called a “choice function”) such that, for any nonempty subset s ofS, 𝑓(s) is an element of s (Britannica) Formal definitions:
axiom of extensionality a set is determined or defined by its members
axiom of infinity there exists a set containing 0 and the successor of each of its elements
axiom of pairing given any sets a and b, there exists a set S having just a and b as members – formula:
axiom of separation given any set A, any condition on members of A defines a subset of A that contains just those members of A that satisfy the condition – formula:
axiom of union given a collection A of sets, {a1; a2; a3; … ; ai; … } there exists a set B that contains anything that belongs to any member of A – formula:
axiom of regularity every nonempty set A contains an element b such that A ∩ b = ∅
axiom schema infinitely many formulae that have the overall form exemplified by the schema (Fronhöfer, 2011) cf. instance of an axiom schema
axiom schema of replacement if φ(x ; y) is a formula such that for each member x of the set X, φ(x ; y) and φ(x ; z) imply that y = z, then there exists a set S such that y ∈ S if and only if there is an x in X such that φ(x ; y)
Baconian Creed the belief, named after Sir Francis Bacon, that with scientific knowledge comes technological power of over nature
barber paradox a puzzle similar to Russel’s paradox: the village barber shaves all those, and only those, who do not shave themself. Does the barber shave himself? Well he does if he doesn’t and he doesn’t if he does. One solution to the puzzle is that such a barber does not exist
base rate the prevalence of an event or characteristic in the population from which it is drawn
bauplän the plan or fundamental structure on which a natural group of organisms or their systems of organs are assumed to be constructed
Bayes’ theorem a mathematical formula for determining conditional probability – formula:
Bayesian confirmation theory an attempt to provide a uniform, general account of scientific knowledge based on the degree of confidence in an hypothesis as a prior probability measure; and the incorporation of new evidence based on the former probability conditional on the evidence, using Bayes’ theorem
begging the question A fallacy that assumes, as one of its premises, what the argument is intended to prove - a.k.a. circular argument; L. petitio principia
behaviourism see logical behaviourism, psychological behaviourism, dispositional behaviourism and radical behaviourism
being-for-itself (être-pour-soi) the mode of existence of consciousness, consisting in its own activity and purposive nature (Oxford Reference) cf. being-in-itself
being-in-itself (être-en-soi) the self-contained and fully realized being of objects (Wikipedia) cf. being-for-itself
β weights standardised regression coefficients applied to a set of variables to maximise the correlation between the set and some criterion
better than nothing equivocation a fallacy of four terms that duplicates the meaning of the term “nothing”, so that in one context it means “of some (limited) value” and in another it means “the best possible”
between group variability the total variation between each group mean and the overall mean cf. within-group variation
biconditional a logical connective used to conjoin two statements A and B such that A implies B and B implies A; commonly translated as ‘A if and only if B’ and abbreviated ‘A iff B’
Big Five personality traits or five-factor model (FFM) of the many variable traits that apply to the construct of personality, all are highly correlated with just five factors: openness to experience; conscientiousness; extraversion; agreeableness and neuroticism
bimodal distribution a statistical distribution having two obvious relative modes, or data peaks
binary predicate a.k.a. dyadic predicate a predicate with two subjects, that represents the relation that subsists between them cf. predicate and relation
binary variable a variable that can take on one of two mutually exclusive values
binomial coefficient the number of ways of picking k unordered outcomes from n possibilities – formula:
binomial distribution a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions (Investopedia)
biological determinism the belief that human and presumably, other organism’s behaviour is controlled solely by genes or together with other biological factors cf. causal determinism
biological species concept according to Ernst Mayr, a species is an interbreeding group of populations reproductively isolated from other such groups
biomechanics uses the principles of mechanics to study the structure, function and motion of the mechanical aspects of biological systems, at all levels of organisation
biomedical model of disease a model of disease that uses biological factors in order to understand illness cf. biomedical model of health
biomedical model of health a model of health defined purely by the absence of illness to the exclusion of psychological, environmental, and social influences (Wikipedia: Biomedical model) cf. biomedical model of disease
biopsychosocial (BPS) model of medicine ... a pluralistic approach to disease and health that integrates multiple modes of explanation, diagnosis, and treatment, rather than solely privileging any one perspective over others (Butler, 2019 Understanding the Nature of Mental States)
black box a device, system or object which can be viewed solely in terms of its inputs and outputs, without any knowledge of its internal workings
bleen an object is bleen if observed before time t and is blue but is green if observed after this time cf. grue and new riddle of induction
Bochvar’s assertion operator (a) used with his combined and internal connectives together with the special external operator (a) to take a truth value from a three-valued system and convert it into a classical two-valued truth value – true remains true, false remains false, but neutral becomes false
Bodhisattva a very rare being who has attained enlightenment but decides voluntarily to delay entry into Nirvana in order to help other beings to achieve enlightenment
Boolean algebra the algebra of two-valued logic (true or false) with only sentential connectives and, or and not or equivalently of algebras of classes under product, sum and complement which can be set up as formal deductive systems
borderline cases cases that partially, incompletely, or imperfectly fit a category, theory, or paradigm (philosophy.stackexchange) cf. fringe of a term
bound variable an individual variable is bound if it is either part of, or lies within the scope of a quantifier
bourgeoisie the class of modern capitalists, owners of the means of social production and employers of wage labour (Engels, F. 1888 English edition) cf. petty bourgeoisie
broken radio analogy an ineffectual counter-analogy by dualists against the argument from brain damage in which non-physical minds are to physical brains as radio waves are to radio receivers
bullshit related to, but distinct from, lying: whereas liars tell untruths, the bullshitter aims to convey a certain impression of themselves without being concerned about whether anything at all is true, whatever it may be (Wikipedia: Bullshit)
Burali-Forti paradox If we were to construct a set of all ordinal numbers, Ω, then it would have an ordinal number greater than any ordinal number in Ω, i.e. an ordinal number greater than any ordinal (Copi, I. Symbolic Logic 5th ed.)
Cambrian explosion an event some 538.8 million years ago in the Cambrian Period lasting 13 - 25 million years during which most of the modern multicellular animal phyla appeared
Campbell’s Law Campbell viewed cultural evolution, involving blind variation and selective retention, as a process of knowledge acquisition and change, applying the paradigm of natural selection to learning, thought, and science. Campbell’s Law is a separate but related concept, expressed as an adage, cautioning that using a quantitative measure as a target for social decision-making can corrupt the very process it is intended to monitor. (Wikipedia: Donald T. Campbell; Wikipedia: Campbell’s law)
canalisation the tendency for development of a specific genotype to follow the same trajectory under different conditions
capital 1. human-created assets that can be used to perform economically useful work 2. (in Marxist theory) money used to buy something only in order to sell it again to realize a profit (Wikipedia: Capital (economics))
capitalism an economic system based on the private ownership of the means of production and their operation for profit (Wikipedia: Capitalism)
cardinality of a set a measure of its number of elements given by a cardinal number
cardinality of the continuum (card ℝ) the “size” or cardinality of the set of the real numbers (ℝ) denoted by ‘ℵ’ (note: without the subscript)
cardinal number finite cardinal numbers are identified with special representative sets that the ZF axioms guarantee to exist from among equivalent sets; the same can be done for infinite cardinal numbers by selecting the set of all natural numbers, ω, as representative of them so that the cardinality of ω is the number of members in all these equivalent sets – the smallest infinite cardinal number ℵ0 is defined as the cardinality of ω cf. cardinality of a set
care the provision of what is necessary for the health, welfare, maintenance, and protection of someone or something (Oxford Languages) cf. harm
carrying capacity the maximum population size of a species that can be sustained by a specific environment
carryover or memory effect occurs when the effects of receiving one treatment impact participants in subsequent conditions (Study.com)
Cartesian assumption the assumption that one’s mind is always transparent to, or has “privileged” access, to its contents
Cartesian product (A × B) given two sets A and B we can form an ordered pair (x;y) such that x ∈ A and y ∈ B so that the collection of all such pairs is known as the Cartesian product (A × B) of A and B (Copi, I. Symbolic Logic 5th ed.)
categorical variable a.k.a. qualitative variable, all of which are discrete variables that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or unit of observation to a particular group or nominal category on the basis of some qualitative property. There are three types of categorical variables: binary, nominal, and ordinal variables (Wikipedia)
category mistake 1. a semantic or ontological mistake in which things belonging to one category are treated as if they belong to a different category
causal analysis used to identify the strength of the effect that an independent variable(s) may have on a dependent variable
causal descriptivism relies on the causal relation between a term and what it designates, thus ‘x’ designates x in virtue of some causal relation obtaining between them
causal determinism the idea that every event is necessitated by antecedent events and conditions together with the laws of nature cf. determinism and dilemma of determinism
causal loop a circular series of causes and effects e.g. A causing B, causing C, causing A
causal role (CR) account of functions a way of distinguishing functional from anatomical or structural terms in psychology and cognitive science, that has subsequently been embraced by several philosophers of biology (Cummins, 1975) cf. selected effects (SE) analysis of function
causation the relationship between cause and effect – strictly speaking, for A to be the cause of B, A must be necessary and sufficient for B to occur
Central Dogma of Biology genetic information moves from DNA to RNA to proteins but never from proteins backwards to the genetic material (Crick, 1958)
Central Limit Theorem (CLT) given a population with a finite mean μ and a finite, non-zero standard deviation σ the sampling distribution of the mean (made using samples that were independently selected from the population), approaches a normal distribution with a mean of μ and a standard deviation of σ/√n as the sample size, n, increases q.v. standard error
central-state identity theory a species of physicalism according to which mental events, states or processes are identical to neurophysiological events in the central nervous system, and that the property of being in a certain mental state is identical to being in a certain neurophysiological state
centre of gravity (of an object) is defined as the theoretical point within an object where its total weight can be though of as being concentrated
ceteris paribus L. other things being equal
chaos the formless or void state preceding the creation of the Cosmos, according to Greek cosmogony
chaos theory an interdisciplinary area of scientific study and mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions (Wikipedia) – complex systems adhere to a specific set of principles, including nonlinearity, self-organizational processes, and movement toward complexity, which are especially relevant to psychiatry (Cozolino & Siegel, 2017)
characteristic function or indicator function a function defined on a set A that indicates membership of an element in a subset A' of A which has a value of 1 for all elements of A' and a value of 0 for all elements of A not in A'
characteristic roots, a.k.a. latent roots or eigenvalues (I2) the sum of squares of the factor loadings of each factor which reflects the proportion of variance explained by each factor; i.o.w. the total amount of variance is the characteristic root or eigenvalue I2 for the factor – the larger the eigenvalue, the more variance is explained by the factor (Kline, P. An Easy Guide to Factor Analysis)
characteristic vectors, latent vectors a.k.a. eigenvectors of a matrix (Va) a vector in this sense is simply a column or row of numbers in a matrixmatrix; specifically, a column of weights, each applicable to one of the variables in the matrix
χ2 test (chi-squared test) pronounced: “kai squared”, a statistical hypothesis test for association between nominal variables – Formula:
chreode a developmental pathway followed by a biological system (e.g. a cell) on its way towards forming part of a final tissue type or organ
chromosome one of the chains of genes found in cells (Dawkins, R. The Extended Phenotype)
circular argument see begging the question
circular descriptivism accordingly, the description required for a term is constructed around the very semantic relation we are seeking to explain; this process is circular because the theory passes the referential “buck” to the description we seek
cis-regulation the ability of some molecules to control the presence of others by catalysing or inhibiting their production e.g. the product of one gene can control the rate at which another gene is transcribed, and hence the rate of production of that gene’s product
class see set
class-expression in the same way that a number or a variable can be designated by an expression with one or more terms, so a given class can be designated by an infinite number of class-expressions using various equalities
classical 3-valued truth-value assignment a 3-valued truth-value assignment is called classical iff it assigns only the classical values T and/or F to propositional variables (Fronhöfer, 2011)
classical logic standard or traditional logic that involves complete well formed formulae that can take on two truth values: true or false cf. principle of bivalence
class inclusion (⊂) α ⊂ β asserts that all members of α, if any, are also members of β, in other words α is a subset of β
“cluster” theory of names see name (modern description theory a.k.a. “cluster” theory)
codominant alleles that are neither dominant nor recessive with respect to one another are known as codominant e.g. the A and B alleles of the ABO blood types are both expressed in individuals who receive one copy of each form each parent
codon a triplet of nucleic acids in DNA or RNA that codes for a specific amino acid or an instruction to start or stop the translation of a protein
coefficient of determination r2 a measure of how well differences in one variable can be explained by a difference in a second variable in a statistical model
cognitive load the amount of occupied working memory
cogent a strong (inductive) argument whose premises are all true
Cognitive Behavioural Therapy (CBT) an evidenced based therapy that challenges and attempts to change cognitive distortions (e.g. thoughts, belief and attitudes) and their associated behaviour to improve emotional regulation and personal coping strategies cf. Dialectical Behavioural Therapy (DBT)
cognitive bias any pattern of deviation of judgement from some rational norm
cognitive dissonance the uncomfortable or anxiety provoking perception of contradictory information, including beliefs, ideas, values or actions
Cohen’s d a measure of effect size used to indicate the standardised difference between two means – formula:
coherence theory of truth an epistemic theory a according to which, truth and falsity are to be determined by relations to other beliefs or statements rather than to the actual world cf. coherentism
coherentism an epistemic theory according to which individual beliefs are justified to the degree that they cohere (or fit together) with an existing system of beliefs cf. coherence theory of truth
cohort a group of people with a shared defining characteristic
combination the number of ways of selecting items from a group without taking the order into account
combinatorial explosion occurs when a huge number of possible combinations are created by increasing the number of entities which can be combined – just a small increase in the number of elements that can be combined increases the number of combinations to be computed so fast that it quickly reaches computational limits (Principia Cybernetica: Combinatorial Explosion)
commissures in neuroanatomy, a connecting band of nerve tissue in the brain or spinal cord (Merriam-Webster Dictionary) cf. corpus callosum
commissurotomy the severing of one or more of the cerebral commissures
communality (h2) the sum of squares for each row of a factor matrix which reveals the proportion of variance in each variable which the factors can explain
communism 1. a theory or system of social organization in which all property is owned in common by a society without classes, money or a state (Engels, F. Principles of Communism) 2. A social, political and economic ideology and a movement that aims to establish such a social order (Engels, F. Socialism: Utopian or Scientific)
communitarianism a relatively recent political philosophy that emphasises the relationship between the individual and the community alongside, if not prior to, notions of liberty and equality
commutativity of sum and product of classes for the operations of sum and product, the order of the classes on which the operations are performed does not change the result
compatibilism the view that we are determined and free cf. determinism, causal determinism, hard determinism, libertarianism and hard incompatibilism
competitive exclusion principle in the long run, only one species can occupy a given niche
complement of a set (overscore or – ) α is the class of objects that do not belong to α
complement of a complement the complement of the complement of a class is the class itself
complement of an event all outcomes that are not the event
complete set of connectives A set C = {∘1; … ; ∘k} is complete iff every connective is definable by C (Fronhöfer, 2011)
compliance or satisfaction conditions conditions that would have to obtain in order for a hope, desire or request to be fulfilled
compositionality of language the meaning of a complex [linguistic] expression is determined by the meanings of its constituent expressions and the rules used to combine them (Wikipedia: Principle of compositionality)
comprehensive liberalism as with political liberalism, however comprehensive liberalism is also be concerned with the roles of individuals, groups, businesses, etc. (StackExchange Philosophy) cf. political liberalism
computer metaphor of mind a core paradigm in cognitive science and psychology that treats the mind as an information-processing system; brains are regarded as hardware while minds are regarded as software; Input/Output are regarded as sensory functions vs. behavioural responses and reactions
conceptual model a representation by which to better understand the concepts involved in the subject that the model represents
conclusion a declarative statement within an argument that is supported by one or more premises within the argument
concurrent validity (of a questionnaire) assesses the measure(s) in question compared to outcome(s) assessed at the same time e.g. the measure of a questionnaire designed to assess a person’s risk for developing diabetes may be compared to the person’s actual blood glucose level recorded at their last follow up visit to a community clinic cf. criterion-related validity and predictive validity
conditional a statement of the form: “if… then…”
conditional probability the probability of an event occurring, given that another event has already occurred (Wikipedia)
conditional proof a deductive proof that takes the form of asserting a conditional and then formally proving that the antecedent of the conditional necessarily leads to the consequent
conditional proof assumption (CPA) the assumed antecedent of a conditional proof
confabulation false memories that are recounted with great confidence – confabulators are genuinely unaware that their stories are false
confirmation bias the tendency to search for, interpret, favour, and recall information in a way that confirms or supports what one already believes or values (Wikipedia)
confirmatory data analysis (EDA) used as part of factor analysis to tests specific hypotheses about data that have already been collected, often using structured methods and statistical tests to validate or refute such hypotheses cf. exploratory data analysis
confounding variable an unmeasured third variable that influences both the supposed cause and the supposed effect of a phenomenon (Thomas, L. Understanding confounding variables)
conjunction 1. an elementary valid argument of the form: A, B /∴ A and B
connectionist models these take inspiration from the manner in which information processing occurs in the brain – processing involves the propagation of activation among simple units (artificial neurons) organized in networks, that are linked to each other through weighted connections representing synapses or groups thereof (McClelland, J. & Cleeremans, A. in The Oxford Companion to Consciousness, 2009)
connective definable in a logic we say that a connective ∘ is definable in a logic ℒ iff ∘ is definable by the set of connectives of ℒ (Fronhöfer, 2011)
connote of a word or phrase, used to suggest or imply an associated idea or feeling cf. denote
consciousness, the problem of comprises of three related problems: awareness, a sense of self or subjectivity (or phenomenality) and self-awareness
consequent the “then…” clause of a conditional statement – also called the apodosis
consistent formulae see syntactically consistent formulae, syntactically inconsistent formulae, maximally consistent formulae and semantically consistent formulae or satisfiable set of formulae
constant domain model (modal logic) requires that if x exists in one world’s domain, then it must exist in all of them; the frame of which is a collection of worlds W, an accessibility relation, R and a single non-empty set D cf. varying domain model
constraint (evolution) a.k.a. “unity of type” (Darwin) – a fundamental conformity or limitation in the structure of organisms of the same class or order, which is quite independent of the ability of natural selection to effect change
constructive dilemma an elementary valid argument of the form: if A then B and if C then D, A or C /∴ B or D
construct validity the degree to which an instrument measures a trait or theoretical construct that it claims to, or is intended to measure
content validity the extent to which an instrument measures or fully assesses all facets of a given construct of interest
content validity ratio (CVR) a formula devised by Lawshe (1975) to assess the content validity of an instrument
continental philosophy practiced mainly on the European continent, continental philosophy tends to favour the construction of overarching “systems” which are then shown to subsume or explain historic, literary and/or cultural transformations, including philosophy itself – unlike analytic philosophy, continental philosophy does not accept the primacy of the natural sciences in understanding natural phenomena
contingency table (cross tabulation) a two dimensional table in the form of a matrix that displays the multivariate distribution of frequencies of the variables involved, where each frequency is recorded in a unique cell designated by its row number i and its column number j, just as cells in a spreadsheet are referred to by their unique combination of row number and column letter
contingent being one that does not exist in and of itself, but depends for its existence upon some other being or entity
continuous variable a variable whose value may be obtained by measuring an uncountable set of values along a continuum
continuum hypothesis proposed by Cantor in 1878, accordingly there is no set whose cardinality is strictly between that of the integers and the real numbers – in other words, there is no transfinite cardinal between the cardinal of the set of positive integers and that of the set of real numbers – in 1939 Gödel proved that, if the axioms of set theory are consistent, the continuum hypothesis cannot be disproved; however in 1963, Paul Cohen proved that the continuum hypothesis cannot be proved from the axioms of ZF set theory either cf. generalised continuum hypothesis (Copi, I. Symbolic Logic 5th ed.)
contradiction (proposition) a proposition F is a contradiction iff F evaluates to F under every interpretation
contradiction in a 3-valued logic a formula F that has the value F on all interpretations
contradictories any two propositions which are so related that if either of the two is true then the other is false and vice versa
contraries any two propositions which are so related that they cannot both be true (although both may be false)
contraposition a valid form of inference that says a conditional statement P ⊃ Q is logically equivalent to its contrapositive ∼Q ⊃ ∼P; e.g. ‘If it is a cat then it is a mammal’ is logically equivalent to ‘If it is not a mammal then it is not a cat’ (Wikipedia: Contraposition)
control sample a sample in a controlled experiment that is practically identical to the experimental sample except for the action subject to the experimental sample
controlled experiment a more rigorous experimental procedure in which the outcome of one or more experimental sample(s) is compared with that of a control sample
controlled variable a variable that that a researcher holds constant or controls during an experiment a.k.a. extraneous variable
convergent evolution the independent evolution of similar features in different species in different geographical regions or different periods or epochs in time
convergent validity refers to the degree to which two or more measures of constructs that are theoretically related, are in fact related
corpus callosum a wide, thick nerve tract, consisting of a flat bundle of fibres, connecting the two cortical hemispheres of the brain of placental mammals cf. commissures
correlation the interdependence of variable quantities (Oxford Languages)
correlation coefficient a measure the strength of a linear relationship between two variables – see Pearson product-moment correlation coefficient (Pearson’s r) cf. coefficient of determination r2
correlation matrix a table showing correlation coefficients between variables in a study; each cell in the table shows the correlation between two such variables (Displayr)
correlation of parts occurs when some body part that is not under selection as solution to a design problem but is instead the result of selection acting on another body part or the whole body with which it is correlated
correspondence bias the tendency to draw inferences about a person’s unique and enduring character and dispositions from behaviour that can be otherwise entirely explained by the situation in which it occurs – a.k.a. the attribution effect or fundamental attribution error
correspondence theory of truth a theory in metaphysics and the philosophy of language which states that the truth or falsity of a belief or statement depends solely on how it relates to the world. True beliefs or statements accurately describe or “correspond” to the world as it, whereas falsehoods fail to do so.
cosmological argument several arguments of the same form that that purport to prove the existence of God based on conceptions causality or necessity
Cotard’s syndrome an extremely rare condition involving the belief that one is dead, non-existent, putrefying or missing parts of one’s body
countable see denumerable, countable or enumerable
covariance a measure of the extent to which two random variables vary together
covariate often used loosely to mean any continuous predictor variable in a model, including the predictor variable of an hypothesis, but more specifically an independent variable that can influence the outcome of a given statistical trial, but which is not of direct interest. (Oxford Languages)
creeping determinism see hindsight bias
criterion-related validity the extent to which a score on a test is related to a specific criterion – in the case of a questionnaire it is a measure of how well the findings of a questionnaire compare to another instrument or predictor cf. concurrent validity and predictive validity
critical interests those about which we make fallible judgements about what is truly worthwhile (Dworkin, R. Sovereign Virtue) cf. volitional interests
critical reasoning an attitude of being disposed to consider in a thoughtful way the problems and subjects that come within the range of one’s experiences; knowledge of the methods of logical inquiry and reasoning, and some skill in applying those methods
Cronbach’s alpha a reliability coefficient and a measure of the internal consistency of tests and measures (Wikipedia)
crossing over the exchange of genetic material during sexual reproduction between two homologous chromosomes
CSI effect an exaggerated portrayal of Forensic Science created by The TV series “CSI: Crime Scene Investigation”, which has also lead to the popular misconception that all investigations can be solved by Science alone, were common sense and carful observation would have prevailed
cultural fitness fitness for the survival of a cultural trait cf. fitness
cultural traits proposed by Luigi Cavalli-Sforza and Marcus Feldman as the basic units of inheritance in cultural evolution, learned by imprinting, conditioning, observation, imitation or direct teaching (Cavalli-Sforza & Feldman Cultural Transmission and Evolution: A Quantitative Approach) cf. culturgen
culture any collective knowledge or technology that is acquired from others and passed on to descents
culturgen proposed by Charels Lumsden and Edward O. Wilson as the basic unit of inheritance in cultural evolution (Lumsden, C. & Wilson, E. Genes, Mind and Culture) cf. cultural traits
cybernetics a theory that studies circular causal systems whose outputs are also inputs, as feedback systems
cynicism vs. scepticism in the context discussed, scepticism is the attitude that we could always be wrong, while cynicism insists that we can never know anything
death by a thousand qualifications a theory that repeatedly avoids being disproved by making so many qualifications to a fundamental definition as to deem the original theory or statement meaningless or non-existent
decision problem (deductive system) to state an effective criterion for deciding whether or not any statement or wff is a theorem of the system
decision tree a flowchart-like structure where each internal node represents a decision to be made and each branch represents the outcome of a decision
declarative or explicit memory refers to the conscious storage and recollection of information, including episodic memory and semantic memory cf. non-declarative or implicit memory
declarative statement a sentence that makes a statement – declarative statements must be distinguished from interrogatives that ask a question, imperatives or exhortations that give an order, subjunctives that propose hypotheticals, and exclamations that express surprise, strong emotion or pain
deduction theorems see Syntactic/Proof-Theoretical Deduction Theorem and Semantic Deduction Theorem
deductive an argument or process of reasoning that moves from one or more statements (premises) to reach a logically certain conclusion
deductively complete a deductively complete system is, loosely speaking, one in which all desired formulae (or their negation) can be proved within it (Copi, I. Symbolic Logic 5th ed.)
deductive system one in which a minimum number of propositions suffices for the deduction of all the rest and a minimum number of terms suffices for the definition of all the others (Copi, I. Symbolic Logic 5th ed.) cf. formal deductive system
definable in a logic a connective ∘ is definable in a logic ℒ iff ∘ is definable by the set of connectives of ℒ
definiendum the term or concept being defined cf. definiens
definiens the words, terms or phrase used in the definition cf. definiendum
definite description a species of singular term whose basic structure is ‘the F’, where F is some general term – superlatives such as ‘the highest mountain’ and expressions like ‘her father’ (= the father of her’) are also definite descriptions (Devitt & Sterelny, Language and Reality 2nd ed.)
degree entailment if the three truth-values T, ⊙, F are ranked T > ⊙ > F, then we say that a set S of formulae degree-entails a formula F, iff the value of F can never be less than the least value of the formulae in S (Fronhöfer, 2011)
degrees of freedom the number of independent values, that have the freedom to vary in a sample
degree validity an argument is degree-valid in a 3-valued system iff the set of its premises degree-entails its conclusion (Fronhöfer, 2011)
deictic adjective, 1. relating to or denoting a word or expression whose meaning is dependent on the context in which it is used e.g. ‘here’, ‘you’, ‘me’, ‘that one over there’, ‘next Tuesday’ (Oxford Languages) 2. a use of a pronoun, demonstrative or description that directly indicates an object (Devitt & Sterelny, Language and Reality 2nd ed.) cf. anaphoric
deindividuation in the context of social psychology: the loss of self-awareness and individual freedom of expression that occurs within highly cohesive groups of people
demonstration (logical) a discourse proceeding from axioms to one or more theorems, according to specified deductive system
De Morgan’s Theorem the negation of a conjunction of two statements is equivalent to the disjunction of their negation; and the negation of a disjunction of two statements is equivalent to the conjunction of their negations
De Morgan’s Theorem for sets an object that does not belong to the sum or union of two classes cannot belong to either of them, similarly an object that does not belong to the product or intersection of two classes must belong to the complement of at least one of them - formulae:
denote of a word or phrase, used to explicitly indicate or to stand as a name or symbol for something cf. connote
denumerable, countable or enumerable any set whose members can be mapped one-to-one onto the natural numbers is said to be denumerable, countable or enumerable
denying the antecedent a fallacy involving a conditional statement and another statement which denies that the antecedent of the conditional is true and then erroneously concludes that the consequent must therefore be false
deontic modalities linguistic modalities that indicate how the world ought to be according to certain norms, expectations, desires etc. (Wikipedia)
dependent samples two (or more) samples are considered dependent if the composition of one is systematically related to that of the other group(s) cf. independent samples
dependent variable a.k.a. output variable, a variable that literally depends on the independent variable in some way and is observed to see whether it is the effect of the change made to the independent variable
derivable formula (Ł3) A formula F of Ł3 is derivable from a set of formulae S iff there is a derivation of F such that all assumptions in the derivation are elements of S (Fronhöfer, 2011)
derivation a finite sequence of formulae, each of which is designated as an assumption, or is an instance of an axiom schema, or can be derived from earlier formula using modus ponens
derived rule of inference a rule of inference not given as part of the derivation system but which constitutes an abbreviation using a previously proved theorem (Wikibooks)
designated truth-values in an m-valued logic, it is customary to distinguish a subset of truth-values of Wm as designated – depending on the intended application of such a logic the designated truth-values include T and any other truth values that we wish to count as “good” or at least “not bad” (Fronhöfer, 2011)
designation the indication or picking out of subjects or persons cf. partial designation
designational adjective, the use of a singular term to refer to a particular object that a speaker has in mind – designatorial terms depend for their refence on designation (Devitt & Sterelny, Language and Reality 2nd ed.) cf. attributive
Design Stance (Dennett) accordingly, behaviour is predictable based on the mind’s purpose, function and design – one of three explanatory levels of abstraction according to Dennett, The Intentional Stance (1989) cf. Physical Stance and Intentional Stance
destructive dilemma an elementary valid argument of the form: if A then B and if C then D, not B or not D /∴ not A or not C
determinism a system is regarded as deterministic if its present state is completely determined by its previously existing states cf. indeterminacy
deterministic relationship an exact or prefect relationship between two variables, e.g. the area of a circle and its radius (A = πr2) or energy-mass equivalence (E = mc2), where the equation in question exactly describes the relationship between the two variables cf. statistical relationship
developmental constraints limitations internal to the organism arising out of its development (ontogeny) cf. phylogenetic constraints
devolution
the vanishingly improbable process of evolution running in reverse cf. Dollo’s law
[CT26]
Dialectical Behavioural Therapy (DBT) an evidenced based therapy that uses a dialectical process similar to Socratic dialect to achieve “a synthesis or integration of opposites” to help avoid harmful or undesired reactions cf. Cognitive Behavioural Therapy (CBT)
dialetheism the view that there are some statements which are both true and false. (Wikipedia: Dialetheism)
difference principle According to John Rawls in his A Theory of Justice (1971, 1999) “Social and economic inequalities are to be arranged so that they are … to the greatest benefit of the least advantaged, …”
difference score the difference in scores obtained between two dependent subjects on two or more separate occasions
dilemma of determinism If the world is strictly deterministic, then we have no free will because our actions were necessitated by past events over which we have no control. On the other hand, if the world is indeterminate, this would mean that our actions would be, at least partly, randomly determined and thus beyond our control, in which case we would not have free will either. cf. determinism and causal determinism
diploid organisms that have two sets of chromosomes, one from each parent cf. haploid
directional or one-tailed test a standard test of significance to determine whether there is a relationship between variables in one direction i.e. either greater than a certain value or range of values or less than a certain value or range of values, but not both
discharged assumption when the scope of an assumption in a conditional proof has ended, the assumption is said to be discharged and no subsequent line of the proof can be justified by reference to the assumption or by any line between it and the line inferred by the rule of conditional proof that discharges it q.v. scope of an assumption
discrete probability distribution a probability distribution that can take on a countable number of values (Wikipedia)
discrete variable a variable whose value is obtained by counting (Wikipedia)
discriminant validity refers to the degree to which two or more measures of constructs that are theoretically unrelated, are in fact unrelated
disinformation deliberately misleading or biased information knowingly disseminated to our advantage or to the disadvantage of our adversaries cf. misinformation
disjoint see mutually exclusive
disjunction a compound statement that results from joining two or more component statements with the logical connective ‘or’
disjunctive syllogism an elementary valid argument of the form: A or B, not A /∴ B
disorder see order and disorder
dispositional behaviourism the idea that statements about mental events can be translated into statements about dispositions to behave in certain ways under certain circumstances – a species of logical behaviourism
dispositional property the property of being bound or liable to be in a particular state, or to undergo a particular change, when a particular condition is realised (Ryle, G. The Concept of Mind)
dissociative identity disorder (DID) a mental disorder characterised by the presence of at least two distinct and relatively enduring personality states, inexplicable memory gaps, recurrent episodes of dissociative amnesia, intrusions into consciousness, depersonalization and derealization, amongst others (Wikipedia)
distribution curve a graph of the frequencies of different values of a variable in a statistical distribution (Merriam-Webster Dictionary)
distributivity of sum and product of classes for the operations of sum and product, any object that belongs to either α or to both β and γ must belong to α or β and also to either α or γ, and conversely. Similarly, any object that belongs to α and to either β or γ must also belong to both α and β or to both α and γ – formulae:
dizygotic see homozygotic
DNA (Deoxyribonucleic acid) a macromolecule composed of two polynucleotide chains that form a double helix carrying genetic material for the development, functioning, growth and reproduction of all known organisms and many viruses (Wikipedia) cf. junk-DNA
Dollo’s law an organism never returns exactly to a former state, even if it finds itself placed in conditions of existence identical to those in which it has previously lived... it always keeps some trace of the intermediate stages through which it has passed (Gould, 1970)
domain of a relation R (dom R) the set of all first coordinates of R cf. range of a relation and field of a relation
domain of discourse the set of entities over which certain variables of interest in may range – a.k.a. universe of discourse
domain or field of application of a term the set of those things that are the sort of thing to which the term applies E.g. the domain or field of application of the term ‘tall’ includes people, horses, buildings, but not colours or integers (Bergmann, M. An introduction to Many-Valued and Fuzzy Logic)
dominant a gene is said to be dominant to one of its alleles if it suppresses the phenotypic effect of that (recessive) allele when the two are present together (Dawkins, R. The Extended Phenotype)
doppelgänger an identical double of a living person that features in diverse mythologies (G. literally a “double-walker”), used by Putnam in his imagined Twin Earth example
double blind experiment one in which neither the provider(s) nor the participants know which is the experimental treatment and which is a placebo
double negation the negation of the negation of any statement is equivalent to the original statement
doubleton see pair set or doubleton
downward causation the ability of higher level (biological) processes to effect lower level molecular units that comprise them cf. upward causation
doxastic modalities modalities that express belief
dualism 1. the belief that the world is comprised of two fundamentally different substances cf. monism 2. Cartesian dualism a.k.a. substance dualism holds that the body and mind are distinct and separate substances
Durbin Watson test a test for autocorrelation in a regression model’s output
dyadic predicate see binary predicate
echo chamber effect analogous to the way sounds reverberate in a hollow enclosure; ideas, opinions, beliefs and persuasions already held by users of social media are repeated, reinforced and sometimes distorted while dissenting or inconsistent views are censored, blocked or simply underrepresented (Wikipedia: Echo chamber (media))
ecology that branch of science dealing with the relationship of living things to their environments
effective method or effective procedure any sequence of statements, however long, that can be decided by a purely mechanical procedure, in a finite number of steps, whether or not it is a demonstration
effect size a statistical quantification of the strength of the relationship between two variables of a population, or a sample-based estimate of the same cf. Cohen’s d
efficient cause prior events that interact in such a way as to bring about physical change cf. final or end cause
element or member of a set any distinct object which belongs to such a set
elementary rules of inference basic valid argument forms that can be used in proofs without having to demonstrate their validity on each subsequent occasion
élan vital the “vital force” or “impulse of life” believed by Vitalists to be immanent in all living organisms and responsible for evolution
eliminative materialism a.k.a. eliminativism the radical claim that our ordinary understanding of mental states in folk psychology is deeply wrong and that they simply do not exist or fail to play any role in a mature science of the mind (Stanford Encyclopedia of Philosophy)
elliptical description one that is incomplete but for which a longer, complete description could be supplied
emergent properties properties of systems that cannot be accounted for by the sum of the properties of their parts
emotivism the doctrine that all evaluative judgments and, more specifically, all moral judgments are nothing but expressions of preference, expressions of attitude or feeling… (MacIntyre, A. After Virtue)
empty name a proper name without a referent
empty question a question for which there is no definite answer
empty set (∅) the unique set having no members
empty set axiom there exists a set ∅ such that for any object x, x ∉ ∅, from which it is an immediate consequence that for any set S, ∅ ⊂ S
endorsement constraint according to Dworkin, people must endorse (understand and agree to) an activity if they are to benefit from it (Dworkin, R. Liberal Community)
energy the ability to do work
entailment (proper) we say that a set of formulae S entails a formula F in 3-valued logic iff whenever all the formulae in S are true, then F will also be true; in other words, there is no interpretation on which all the formulae in S have the value T while F has the value F or ⊙ – furthermore, an argument is valid in 3-valued logic iff the set of its premises entails its conclusion (Fronhöfer, 2011)
enthymeme an argument with one or more missing or unstated premises
entropy a physical quantity interpreted as the degree of disorder or randomness in a system cf. second law of thermodynamics and negative entropy
enumerable see denumerable, countable or enumerable
enumeration a complete, ordered listing of all of the elements of a set
environmental ethics that discipline in philosophy that studies the moral relationship of human beings to, and also the value and moral status of, the environment and its non-human contents (Stanford Encyclopedia of Philosophy)
environment of evolutionary adaptedness (EEA) the ancestral environment to which a species is adapted (specifically, a group of selection pressures occurring during an adaptation’s period of evolution responsible for producing the adaptation)
enzyme a protein that catalyses a biochemical reaction
epigenesis the now uncontroversial theory, first proposed by Aristotle, that an embryo develops progressively from an undifferentiated seed, spore or egg cf. preformationism or preformism
epigenetics the study of changes in organisms caused by modification of gene expression rather than alteration of the genetic code itself (Oxford Languages)
epigenetic landscape a visual metaphor by Conrad Waddington (1957), used to illustrate how environmental factors interact with complex genetic regulation of embryonic differentiation
epiphenomenalism the belief that physical events cause mental events as a kind of causal “by-product”, but that mental events have no causal effect on the physical
episodic memory refers to memory of previous experiences, including their spatio-temporal and emotional context cf. declarative or explicit memory
epistemic cultures an “amalgam of arrangements and mechanisms - bonded through affinity, necessity and historical coincidence - which in a given field, make up how we know what we know.” Karin Knorr-Cetina (1999 p. 1)
epistemic fallacy see masked-man fallacy
epistemic modalities modalities that express knowledge
epistemology that branch of philosophy that deals with knowledge, knowledge acquisition, and the limits of knowledge
equality of sets (=) α = β iff all members of α (if any) are members of β and, all members of β (if any) are members of α
equinumerous sets see equivalent or equinumerous sets
equivalent or equinumerous sets if there is a one-to-one correspondence between sets X and Y they are said to be equivalent or (equinumerous), symbolised as ‘X∼Y
equivocation the fallacious use of the same word in two or more senses in different premises of the same argument
escalation of commitment heuristic one that describes people’s tendency to justify increased or continued investment based on cumulative investments in the past (the sunken costs) irrespective of new evidence, suggesting that the cost of continuing investment might outweigh potential returns – a.k.a. sunken costs fallacy
escape clause (in an argument) allows the conclusion to escape being false, even or especially in the case of something unforeseen
essentialism (psychiatry) the belief that mental disorders have underlying “essences” that distinguish one type of mental disorder from another
η2 pronounced: “eta squared”, a measure of effect size for analysis of variance (ANOVA) models - Formula:
ethical anthropocentrism the belief that humans are at the centre of the moral universe i.e. what is good is what is primarily good for humans
ethics that branch of philosophy that deals with questions of value and morality
evolution see natural selection
evolutionarily stable strategy (ESS) one that does well in a population dominated by the same strategy (Dawkins, R. The Selfish Gene)
evolutionary psychology in so far as it concerns humans, is premised on the idea that the human mind evolved to solve problems that confronted them in the environment of evolutionary adaptedness
exaptation traits originally adapted to solve one design problem that have subsequently been co-opted by natural selection to solve a different design problem
ex contradictione quodlibet segitur L. from contradiction, anything follows
ex falso quodlibet sequitur L. from falsehood, anything i.e. from falsehood, anything follows
existential generalisation (EG) in predicate logic, existential generalisation is a valid rule of inference that allows one to draw quantified generalized statements, or existential propositions, about the existence of entities from one or more particulars
existential instantiation (EI) in predicate logic, existential instantiation is a valid rule of inference that allows one to move from an existentially quantified formula (∃μ)Φ(μ) to the unquantified proposition Φν, provided that ν is a variable that has not occurred in any preceding line of the proof and does not occur in the conclusion of the proof
existential quantification in predicate logic, a propositional function that can be satisfied by at least one member of the domain of discourse
existential quantifier in predicate logic, a type of quantifier symbolised by ∃ for ‘there exists’ – when used together with a predicate variable (∃x) it reads ‘there exists an x such that ...’
exon a coding sequence of DNA or RNA cf. intron
expected cell frequencies the theoretical frequency for a cell in a contingency table obtained by multiplying the row total of the cell by the column total of the cell, then dividing by the grand total – Formula:
experiment an orderly procedure for establishing whether observations of the real world agree with or conflict with the predictions of an hypothesis cf. controlled experiment
experimental philosophy refers to an emerging field of interdisciplinary research that makes use of empirical data, gathered through surveys or experimental techniques, in order to inform philosophical enquiry
experimental sample the sample that is subject to some sort of action which is believed to influence the effect that is being tested in a controlled experiment cf. control sample
exploratory data analysis (EDA) used as part of factor analysis to discover and explore patterns, identify outliers, suggest potential relationships and generate hypotheses without strict rules or pre-defined expectations cf. confirmatory data analysis
exponentiation the multiplication of equal factors
expressively complete a system is said to be expressively complete with respect to that subject matter if it can adequately express or formulate all the propositions it is intended to express (Copi, I. Symbolic Logic 5th ed.)
extensional context a.k.a. transparent context a syntactic environment in which an expression can be replaced by another expression with the same extension salva veritate cf. extension of a predicate and intensional context a.k.a. opaque context
extension of a predicate the class of objects that it describes, given by listing all the members of the class
external validity the extent to which measures obtained from a study sample describe the reference population from which the sample was drawn cf. internal validity
face validity the extent to which a test is subjectively viewed as covering the concept it purports to measure
fact a true statement
factor 1. broad concepts or ideas that may describe an observed phenomenon 2. a linear combination of variables, any combination of which, constitutes a factor (Kline, P. An Easy Guide to Factor Analysis)
factor analysis a method for modeling observed variables, and their covariance structure, in terms of a smaller number of underlying unobservable (latent) factors
factorial n the product of all the whole numbers from 1 to n
factorial validity an extension of content validity because it validates the contents of a construct using factor analysis
factor loadings the correlations of variables with a factor indicating the strength and direction of the relationship between observed variables and latent factors in factor analysis
fake news a type of hoax or deliberate spread of misinformation in social media or traditional news media, with the intent to mislead in order to gain financially or politically
fallacy an argument that relies on invalid or faulty reasoning
fallacy of accident the application of a general rule to a particular case, in which some special circumstance or “accident” exempts the rule from applying – a.k.a. sweeping generalization; L. dicto simpliciter ad dictum secundum quid or simply, dicto simpliciter
fallacy of composition illegitimately arguing from a property of some part, to the composite whole cf. fallacy of division
fallacy of distraction one that draws attention away from the argument proper by irrelevant means such as emotionalism q.v. fallacy of relevance
fallacy of division illegitimately arguing from properties of the whole to those of its parts cf. fallacy of composition
fallacy of evidence one that does not support the conclusion with sufficient evidence
fallacy of four terms an equivocation involving a syllogism, which usually has three terms, but where one term is duplicated so as to have two different meanings; hence the name ‘four terms’
fallacy of relevance one that does not support the conclusion because it is simply irrelevant q.v. fallacy of distraction
fallibilism accordingly, no epistemic claims, including observational statements, can be known with certainty cf. falsificationism
false dilemma a fallacy that presents a choice between two divergent situations as if they were the only possibilities, and then demands that we choose one way or the other - a.k.a. false dichotomy or bifurcation
false negative a result that erroneously indicates that a given condition does not exist, when actually it does – a.k.a. Type II error in statistics
false positive a result that erroneously indicates that a given condition does exist, when actually it does not – a.k.a. Type I error in statistics
falsifiable a statement, hypothesis, or theory that is possible to be proven false – a.k.a. refutable
falsificationism accordingly, an hypothesis must be falsifiable in order to qualify as scientific; alternatively if an hypothesis is not able to be refuted it is not scientific, although it may not necessarily be meaningless
familiarity heuristic the tendency to make judgements about the frequency or importance of events based on how familiar they are in memory
fatalism accordingly, humans may behave freely but are powerless to direct their future, which has already been determined
faulty analogy one that results from comparisons being drawn between objects or situations that share very few or no relevant similarities
favourable events looked for outcomes of a probability experiment
fecundity in human demography, the potential for reproduction of a recorded population
feral child a human child who has lived with very little or no human contact, care or language from a very young age; some have been raised by non-human animals such as primates, wolves, dogs or other species
field of a relation R (fld R) the set of all coordinates of R cf. domain of a relation and range of a relation
final or end cause concerns purposes, goals, or ends that explain what it is for the sake of which a thing is what it is cf. efficient cause
finite set a set is defined as finite if there exists a set onto which a one-to-one function maps the set of all natural or counting numbers that are less than some natural number n, in which case the set is said to contain n elements; according to Dedekind, “A set S is called finite if there exists a mapping of S into itself such that no proper subset of S is mapped into itself”; alternatively a finite set is negatively defined as a set that is not an infinite set (Copi, I. Symbolic Logic 5th ed.)
Fisher’s sex ratio model an evolutionary model used to explain why, in almost all sexually reproducing species, the ratio of females to males is 1:1
fitness the capacity of an organism to pass on its hereditary material to its progeny – one may also speak of the fitness of a genotype or an allele cf. relative fitness
five-factor model (FFM) of personality see Big Five personality traits or five-factor model (FFM)
fixed action patterns (FAPs) instinctual, functional, behavioural sequences that are highly stereotyped and species-specific
fluent aphasia persons with damage to Wernicke’s area of the brain may speak in long, grammatically correct sentences that have no meaning cf. non-fluent aphasia
folk psychology people’s everyday understandings of one another in psychological or mental terms, in contrast to scientific or experimental psychology which is carried out formally in controlled settings
forecasting an effect or impact of change allows one to understanding how much the dependent variable will change when one changes one or more independent variables
form according to Aristotle, form is that which actualises matter so that it is possible to become the object that it is; form thus unifies some matter into a single object
formal constraints those that are necessitated by mathematics or geometry
formal deductive system an abstract structure constructed from primitive or undefined terms, (which include uninterpreted symbols and formulae), used for inferring theorems according to a set of rules cf. deductive system
formal fallacy one that involves some defect in the structure of an argument
formal proof of validity a sequence of statements, each of which is either a premise of the argument being proved or follows directly from the preceding statements via an elementary valid argument, with the last statement in the sequence being the conclusion
formal semantics the study of the semantics, or interpretations of formal systems, expressed in a metalanguage, usually trying to capture the pre-theoretic notion of entailment (Wikipedia)
foundationalism an epistemic theory according to which there are certain “foundations” or “basic beliefs” which require no justification, either because they are self-evident, infallible or because they are true by definition
foundherentism a theory of justification that combines elements of foundationalism and coherentism in a manner that seeks to address the potential arbitrariness of the former as well as the circularity of the latter, while also avoiding the problem of an infinite regress
frame (modal logic) a pair ❬W,R❭ consisting of a non-empty set W of possible worlds and a binary relation R from W onto W
frame domain (modal logic) a frame F, where F is the union of all domains
framing effect a cognitive bias whereby people react differently to a particular choice, depending on how it is contextually framed, either positively or negatively
free variable an individual variable is free if it is neither part of, nor lies within the scope of a quantifier
F-ratio the ratio of between-group variability and within-group variability
fringe of a term the collection of borderline cases of a term (Bergmann, M. An introduction to Many-Valued and Fuzzy Logic)
F-statistic measures whether the means of different samples are statistically significantly different
functionalism a theory of mind that identifies mental states in terms of their functional role in causal relation to other mental states and their numerous sensory inputs and behavioural outputs
functionally complete a logical system that is able to express every truth-functional compound statement
fundamental attribution error see correspondence bias
fundamental theorem of natural selection a refinement of the principle of natural selection (PNS) by R.A. Fischer (1930; 1941) according to which the rate of increase in the average fitness of a population is equal to the genetic variance of fitness of that population
fuzzy logic a form of many-valued logic which treats truth as a continuous variable which may take on the value of any real number from 0 for false to 1 for true, inclusively
gambler’s fallacy an erroneous belief that if a particular sequence of events has occurred more frequently than normal in the past, then it is less likely to happen in the future (or vice versa)
gametes see sex cells
game theory the study of analogous models of strategic decision making by rational agents under conditions of conflict and cooperation
gene any [discrete] portion of chromosomal material that potentially lasts for enough generations to serve as a unit of natural selection (Dawkins, R. The Selfish Gene)
generalised continuum hypothesis the cardinality of the power set of any infinite set is the smallest cardinality greater than that of the set – formula:
general term 1. (a.k.a. count noun) a term that can apply to each severally of any number of objects that can be counted e.g. ‘cat’ cf. mass term and singular term (Devitt & Sterelny, Language and Reality 2nd ed.)
generative grammar a research tradition in linguistics begun in the 1950’s by Noam Chomsky, that aims to explain the cognitive basis of language by formulating and testing models of human subconscious grammatical knowledge
genetic drift a mechanism of evolution in which there is a change in the frequency of an existing allele within a population over time due to chance
genetic linkage the tendency of closely located DNA sequences to be inherited together during meiosis, which represents the most prominent exception to Mendel’s law of independent assortment
genetic material either DNA or RNA (in the case of some viruses) which encode instructions for the manufacture of every type of protein or polypeptide that an organism can potentially produce – a.k.a. hereditary material
genotype all the hereditary information held within the genetic material of an organism cf. phenotype
geometric mean a measure of central tendency, used to determine the mean of quantities involving rates, given by the nth root of the product of n values
germ line cells that pass on their genetic material to the progeny (offspring)
Glass’ Δ a measure of effect size that can be used when treating one group as a control and testing various treatment groups against the control – formula:
God hypothesis, the the treatment of the question of the existence of God on a par with other scientific hypotheses, capable of being falsified
golden rule that you should do to others what you would have them do to you
Goldfeld-Quandt test a parametric test for homoscedasticity that divides the data set into two parts or groups and compares the variances of each group to assess whether they are similar
graded formula a pair [P, v] where P is any formula and v is one of the three truth values T, F or ⊙ (Fronhöfer, 2011)
grammatical mood a grammatical feature of verbs, used for signalling modality or various relations to truth or reality – English has five moods: indicative, imperative, interrogative, conditional, and subjunctive but some other languages have more
grand mean vs. separate sample means when we speak of means we are referring to the simple arithmetic means of a range of values (μ1; μ2; μ3 ...) – the grand mean (μ) is the mean of all the group means or the mean of all observations combined, irrespective of the group
grandmother cell hypothesis a.k.a. Jennifer Aniston cell hypothesis according to which there is a unique neuron that represents the complex, but specific object of grandmother (or Jennifer Aniston)
grandmother effect (evolutionary biology) in certain environments, natural selection does not simply select for the organisms with the most offspring, but instead selects for the ones that leave the most grand-offspring
graphical model one that uses graphs or diagrams to visualise the subject represented
greatest equal liberty principle According to John Rawls in his A Theory of Justice (1971, 1999) “Each person is to have an equal right to the most extensive total system of equal basic liberties compatible with a similar system of liberty for all.”
greatest happiness principle see principle of utility
gross domestic product (GDP) the total market value of all finished goods and services produced in a country in a given year
gross national happiness (GNH) an index based on eight general contributors to happiness i.e. physical, mental and spiritual health; time-balance; social and community vitality; cultural vitality; education; living standards; good governance; and ecological vitality
grounded set any set x, for which there is no sequence of (not necessarily distinct) sets y1, y2, y3, … such that … ∈ y3 ∈ y2 ∈ y1 ∈ x (Copi, I. Symbolic Logic 5th ed.)
grounding (philosophy of language) a perception (or quasi-perception) of an object that is the first link in a reference determining causal chain for a term (Devitt & Sterelny, Language and Reality 2nd ed.)
groupthink a phenomenon which occurs within certain groups of people where the desire for harmony or conformity within the group leads to faulty reasoning or poor decision-making outcomes
growth the increase in the size of all parts of a living system due to its metabolism
grue an object is grue if it is observed before some time t (say the year 2100) and is green but is blue when observed after this time cf. bleen and new riddle of induction
guilt in psychology, a distressing emotion of feeling responsible for having behaved wrongfully cf. shame and responsibility
guilt by association a fallacy which assumes that because two or more people know each other or are associated with each other, one person’s presumed guilt is associated with the other
Haeckel’s (biogenic) law the now discredited notion that “ontogeny recapitulates phylogeny” i.e. the development of an animal embryo, from fertilization to birth or hatching (ontogeny), proceeds through stages resembling or representing successive adult stages in the evolution of the animal’s remote ancestors (phylogeny) cf. von Baer’s law
half-life t½ the time required for half of a sample to decay or be metabolised
haploid organisms that have one set of chromosomes cf. diploid
hard determinism the view that we are determined and not free cf. determinism, causal determinism, dilemma of determinism, libertarianism, compatibilism and hard incompatibilism
hard incompatibilism the seldom held view that we are neither determined nor free cf. determinism, causal determinism, hard determinism, libertarianism and compatibilism
Hardy-Weinberg law in an infinite, randomly mating population, and in the absence of mutation, immigration, emigration, and natural selection, gene frequencies and the distribution of genotypes remain constant from generation to generation
harm physical or other injury, especially that which is deliberately inflicted (Oxford Languages) cf. care
hasty generalisation a weak inductive argument from a few instances to a general conclusion that isn’t warranted
Hebb’s rule according to Donald Hebb (1949), “When an axon of cell A is near enough to excite a cell B and repeatedly or persistently takes part in firing it, some growth process or metabolic change takes place in one or both cells such that A’s efficiency, as one of the cells firing B, is increased” – informally, cells that fire together, wire together
Hegelian dialectic an interpretive method in which the contradiction between a proposition (thesis) and its antithesis is resolved at a higher level of truth (synthesis) which then becomes a new thesis etc. (dictionary.com)
hemihydranencephaly characterised by complete or almost near-complete unilateral absence of the cerebral cortex, which is instead filled by a sac of cerebrospinal fluid
hereditary (logic) a characteristic, with respect to a set of rules of inference that, if and only if, it belongs to one or more formulae, it also belongs to every formula deduced from them by those rules of inference (Copi, I. Symbolic Logic 5th ed.)
heteroscedastic data that do not have equal or similar finite variance cf.homoscedastic
heterozygotic non-identical alleles that occupy the same locus – a.k.a. monozygotic
heuristics a class of problem-solving or decision making techniques that involves mental shortcuts, rules of thumb and educated guesses
hierarchy of needs a psychological theory proposed by Abraham Maslow according to which the most basic of human physiological needs are required to be met before safety and security needs can be addressed. The latter in turn must be met before the need to love and belong can be addressed and so on up to the level of self-actualisation. Accordingly, human need then is not simply the fulfilment of pleasure and the absence of pain.
hindsight bias the tendency to view past events as more predictable than they were before they occurred – a.k.a. creeping determinism
holism the aphorism, “The whole is greater than the sum of its parts”, is typically attributed to Aristotle; although Smuts (1926) was the fist to discuss holism, he did not offer any consistent meaning to the term, but see main text; according to Heil (2005) “holism [is] any view according to which properties of individual elements in a complex are taken to be determined by relations they bear to other elements” (The Oxford Companion to Philosophy, 2nd ed.)
holism of the mental a theory of mental content according to which the meaning of a particular propositional attitude, such as believing, knowing, fearing, wanting, hoping… that x acquires its content by virtue of the role that it plays within the web that connects it to all the other propositional attitudes of an individual (Wikipedia) cf. semantic holism
holistic lifestyle in popular culture, meaning maintaining a balance in one’s mental, physical, emotional, and spiritual being
holotype one specimen that typifies a species, designated when a species is formally described; usually deposited in a museum collection together with paratypes for future taxonomists to consult
homeopathic medicine the pseudoscientific practice of “medicine” conducted without supporting evidence that uses ultra-dilute “remedies” believed to produce effects similar to those caused by the disease or disordert cf. allopathic medicine
homeostasis the property of a living system by which variable quantities are self-regulated so that internal conditions remain stable and relatively constant
homologous chromosomes pairs of chromosomes (one each from each parent) which carry the same genes in the same loci
homology (biology) the anatomical similarity in parts, numbers, and spatial relations of different structures to one another
homoplasy the development of organs or other bodily structures within different species, which resemble each other and have the same functions, but do not have a common ancestral origin (ScienceDirct.com)
homoscedastic data that have equal or similar finite variance cf. heteroscedastic
homozygotic identical alleles that occupy the same locus – a.k.a. dizygotic
horizontal transmission transmission of a pathogen, trait or meme between individuals of the same generation e.g. from child to child or from adult to unrelated adult
hot-hand fallacy the belief that someone who has experienced success with a series of random events (a “hot-streak”) has a greater chance of success in subsequent events – a.k.a. “hot-hand phenomenon”
hot-hand phenomenon see hot-hand fallacy
hylomorphism the Aristotelian theory that being comprises of matter and form
hypothesis a proposed explanation for some phenomenon cf. scientific hypothesis and working hypothesis
hypothesis testing in general, making a prediction based on an hypothesis and using one or more techniques to compare the outcome against some relevant aspect of reality cf. statistical hypothesis testing
hypothesis-testing validity refers to evidence that supports (or fails to refute) an hypothesis derived from the relationship between a measured concept or variable and other concepts or variables
hypothetical see conditional
hypothetical syllogism an elementary valid argument of the form: if A then B, if B then C /∴ if A then C
idealism the belief that all of reality is either mental or some kind of mental construct
idempotence the property of certain operations when applied multiple times not to change the result beyond the initial application, this resembles the principle of tautology for statements e.g. α = α ∪ α and α = α ∩ α
identification theory of names accordingly, a speaker need not be able to describe the bearer of a name so long as they are able to recognize the person, as in a lineup, for example, by saying, “That person!”
identity (psychiatry) one’s global role in life and the perception of the sense of self (psychiatry) (Sadock, B. et al. Eds. Kaplan & Sadock’s Comprehensive Textbook of Psychiatry, 10th ed.)
identity of indiscernibles a.k.a. law of identity two entities are identical if and only if they have all their properties in common cf. numerical identity – formula:
idiolect a person’s unique use of language or way of speaking
ignorance and error (Kripke) Kripke proposed two epistemological arguments against the descriptive theory of names i.e. the argument from error and the argument from ignorance respectively: 1) if names have no other content than their description then we could never be in error about an object’s identifying descriptive properties, and 2) people can competently use names even if they are ignorant of most or all of an object’s identifying descriptions
illata inferred entities, such as atoms, molecules, fundamental particles etc. cf. abstracta
illocutionary force a speaker’s intention in producing an utterance, alternatively the effect a speech act is intended to have by a speaker
illusory correlation the tendency to overestimate relationships between two groups when presented with distinctive or unusual information
imitation 1. a behaviour whereby an individual observes and replicates another’s behaviour 2. a form of learning that leads to the “development of traditions, and ultimately our culture – it allows for the transfer of information (behaviours, customs, etc.) between individuals and down generations without the need for genetic inheritance” (Wikipedia: Imitation)
immanent cause a cause whose effect is already represented or embodied in its prior state that leads it towards its final goal
implication elimination a.k.a. modus ponens
incomplete definite description definite descriptions like ‘the book’ or ‘the table’ which are very often deictic yet fail to denote anything, if only because there are millions of books and tables not just one unique one of each
inconsistent if a system that has two or more formulae which are either axioms or can be proved as theorems within the system but that contradict one another or are the denial of each other, then such a system is said to be inconsistent
independent axiom an axiom of a formal deductive system is said to be independent (or exhibit independence) if it cannot be derived as a theorem from the other axioms of the system cf. redundant axiom
independent event an event that has no effect on the probability of another event occurring
independent samples two (or more) samples are considered independent if the composition of each sample in no way systematically affects the composition of the other(s) cf. dependent samples
independent variable the variable that an experimenter manipulates in order ascertain whether it is the cause of some effect a.k.a. input variable
indeterminacy the property of a system for which it is necessarily impossible to give a complete physical description cf. determinism and quantum indeterminacy
indicator function see characteristic function or indicator function
indicator semantics a theory of meaning developed for the meaning of thoughts, especially perceptual thoughts; thus the meaning of a particular thought type is determined by the feature of the world with which it is reliably correlated (Devitt & Sterelny, Language and Reality 2nd ed.) cf. teleological semantics
indirect speech acts speech acts performed indirectly through the performance of other speech acts, commonly used to reject proposals and to make requests (Wikipedia: Speech act)
individual constant in predicate logic, an individual constant refers to one specific individual in the domain of discourse cf. individual variable
individual variable in predicate logic, individual variables are used as a place-holders for individuals together with a predicate letter to form a propositional function cf. individual constant
induction on the complexity of a formula used to prove that some proposition P(x) holds for all x of some sort of recursively defined structure
inductive reasoning a method of reasoning from a number of supporting premises such that each additional supporting premise makes the conclusion more probable, but not certain
inductive set a set that contains 0 and the successor of each of its members
inference the movement in reasoning from premises to one or more logical conclusions supported by the premises q.v. elementary rules of inference
inference to the best explanation (a.k.a. abductive reasoning) a method of reasoning that starts with an observed set of data or clues and works backwards to the most plausible and satisfying hypothesis to explain them (Routledge Encyclopedia of Philosophy)
infinite collection a collection for which there is no natural number that is the number of its members
infinite set negatively defined as a set that is not a finite set; alternatively an infinite set is one that is equivalent to one of its proper subsets
information represents a reduction in uncertainty. The unit of information, the bit, is that which reduces uncertainty by half. (Wikipedia: Information)
information sink any system capable of attracting information to itself
initial segment of a set if X is a well ordered set and a ∈ X then the subset {x : x ∈ X ⋅ x < a} is called the initial segment determined by a, usually denoted by s(a) (Copi, I. Symbolic Logic 5th ed.)
input variable see independent variable
instance of an axiom schema any formula that results from the uniform substitution of formulae of the language for each of the letters occurring in the axiom schema (Fronhöfer, 2011)
intensional fallacy see masked-man fallacy
intensional context a.k.a. opaque context a syntactic environment in which an expression, often involving a modal operator, can not necessarily be replaced by another expression with the same extension salva veritate
intension of a predicate the class of objects it describes, given by the criterion which picks them out
Intentional Stance (Dennett) according, behaviour is predictable by considering what motivates a rational agent to choose in a given situation design – one of three explanatory levels of abstraction according to Dennett, The Intentional Stance (1989) cf. Physical Stance and Design Stance
interaction effect occurs when one or more variables differ depending on the level of another
interactionism a dualistic theory of mind that holds that mental events cause physical events and vice versa
internal consistency reliability or homogeneity refers to the extent to which items on a test or instrument measure the same thing
internal validity the extent to which measures obtained from a study actually quantify what they were designed to measure cf. external validity
inter-observer reliability the degree of agreement among observers or raters making judgements, which may be expressed simply as a percentage
interpretation of a formal system the assignment of meanings to symbols and truth values to sentences within the system (Copi, I. Symbolic Logic 5th ed.)
interquartile range the interval between upper and lower quartiles, Q3 - Q1, of any distribution
intersection (∩) see product or intersection (∩)
interval scales measurement scales that comprise of units of equal size that allow us to both order and quantify the difference between values
intransitive relation if x has a relation R to y and y has the same relation R to z then x cannot have the same relation R to z – formula:
intrinsically impossible a logical contradiction or absurdity that is impossible by its very nature, regardless of, context, conditions or merely a matter of ignorance
intron a relatively long, non-coding sequence of DNA or RNA cf. exon
invalid a deductive argument with a faulty structure that allows for the premises to be true and yet for possibility of the conclusion(s) to be false cf. valid
inverted spectrum argument according to Locke and reintroduced by Fodor, it is possible for two observers with the same colour vocabulary and discriminations to view the same object in the same light, and yet for one to have the experience of green and the other of red, say (although they would both name it the same colour); therefore it is possible for two observers to have all the same causal relations and yet differ in their subjective quality or qualitative content
invisible hand, the an economic concept, and myth, that describes the unintended greater social benefits and public good brought about by individuals acting in their own self-interests (Wikipedia: Invisible hand)
in vitro L. within glass – refers to a procedure performed in laboratory glass or other materials e.g. test tubes, embryo gasses, Petri dishes etc. cf. in vivo
in vivo L. within the living – refers to a procedure performed in or on a living organism cf. in vitro
involutive operation one which, when applied to itself returns the same value
irreflexive relation a relation R is irreflexive if there is no x that can have relation R to itself, i.e. (∀x)∼Rxx cf. reflexive relation
irrelevant conclusion a fallacy of distraction that diverts attention away from the argument proper rather than engaging with it – a.k.a. “red herring”; L. ignoratio elenchi
isomorphic sets if two simply ordered sets are similar sets, they are said to be isomorphic (with each other); furthermore ordered sets that are isomorphic with each other are said to have the same order type (Copi, I. Symbolic Logic 5th ed.)
Jennifer Aniston cell hypothesis see grandmother cell hypothesis a.k.a. Jennifer Aniston cell hypothesis
junk-DNA an informal, but misleading, name for regions of DNA that that do not code for proteins
justified, true, belief a theory of knowledge that holds that for someone to know something it must be believed, true and the person should be justified in believing that it is true
just-so stories 1. a literary collection: Just So Stories for Little Children by British author Rudyard Kipling (1902) 2. an equivalent term for a (provisional) speculative answer, evolutionary hypothesis, or heuristic that is, a starting point of evolutionary inquiry that might, but of course might not, promote fertile (scientific) investigation of evolutionary history (Hubálek, M. 2020 A Brief (Hi)Story of Just-So Stories in Evolutionary Science)
k-strategists species that invest heavily in a few offspring with a relatively long reproductive period cf. r-strategists
known-group validity used to compare a group with an already established attribute of the outcome of a construct (the known-group) with an independent group for whom the attribute is not yet established
Kolmogorov-Smirnov test a non-parametric goodness-of-fit test used to determine whether two distributions differ significantly
Kuder-Richardson formula 20 (KR-20) a measure of internal consistency reliability for measures with dichotomous choices (Wikipedia)
Lamarckian inheritance a theory of heredity by Jean-Baptiste Lamarck (1809) based upon use or disuse of various characteristics acquired during an organism’s lifetime – informally, the inheritance of acquired characteristics
Language Acquisition Device (LAD) a hypothetical, instinctive, neurologically hard-wired mental capacity, proposed by Noam Chomsky, which enables human infants to acquire and produce language
language-of-thought hypothesis accordingly, describes the nature of thought as possessing “language-like” or compositional structure or “Mentalese” (mĕn′tl-ēz′); thus simple concepts combine in systematic ways (akin to the rules of grammar in language) to build thoughts, so that thought, like language, has syntax (Wikipedia) – thoughts, in other words, are mental sentences composed of mental words cf. public language-of-thought hypothesis
Laplace’s Demon An imaginary intellect, who if it knew the precise location and momentum of every particle in the universe, and had sufficient computational power, would be able to predict their past and future values for any given time
latent phenomenon a phenomenon that can only be inferred by observing its effects on another phenomenon; hence latent variable
law of expansion any class symbol can be introduced into a class-expression in such a way that that the expanded class-expression designates the same class
law of large numbers if the outcomes of an experiment are independent and it is performed repeatedly, then the proportion of favourable outcomes will approach its theoretical probability
law of non-contradiction it is not the case that both P and not P are simultaneously true – In symbols ∼(P⋅∼P)
law of the excluded middle either a proposition is true or its negation is true
learned helplessness behaviour exhibited by a subject after enduring repeated aversive stimuli beyond their control (Wikipedia)
Leibniz’s law see identity of indiscernibles a.k.a. law of identity
lemma a subsidiary or intermediate theorem in an argument or proof
lesion any damage or abnormal change in the tissue of an organism, usually caused by disease or trauma
lexical competence the ability of being able to produce and understand words
lex parsimoniae see Occam’s razor
lex talionis L. an eye for an eye – an Old Testament principle by which someone who has caused harm ought to be punished in like manner and to a similar degree
liar’s paradox a self-referential statement of a liar that they are lying e.g. “This statement is false”
liberal egalitarianism a moral theory based on the intrinsic moral worth of individuals, race and gender equality and the notions of justice and fairness, equal opportunity, individual rights and responsibilities etc. – liberal egalitarianism also requires that the state should uphold and enforce such values and prohibit actions that violate them
liberal-nationalism a form of nationalism that adheres to traditional liberal values of freedom, tolerance, equality, and individual rights, and is not based on ethnocentrism; however efforts to promote a particular language or identity may seem closer to a communitarian politics of the common good (Wikipedia; Kymlicka, W. Contemporary Political Philosophy 2nd ed.)
liberal neutrality see neutral state
libertarianism (metaphysical) the belief that, since agents have free will, we must not be entirely physical determined cf. determinism, causal determinism, hard determinism, compatibilism and hard incompatibilism
Likert scale a ranked psychometric scale used in survey questionnaires that offers a quick, standardised, ordered or ranked response method to assess level of agreement (or disagreement) towards attitudes or experiences
line (of an argument) a statement featuring in a sequence of statements as part of a logical demonstration
line of best fit a straight line that lies closest to most of the data points on a scatter plot
linear regression a method by which to model the relationship between a dependent variable y, used to represent individual fixed-size data objects, and one or more independent variables, x
linear relationship a statistical term used to describe a straight-line relationship between two variables (Investopedia)
linguistic competence the ability to produce and react to certain sounds, inscriptions, gestures and so on, in a way that conveys meaning
linguistic logic (Zadeh) a version of fuzzy logic introduced by Lotfi A. Zadeh that uses natural language terms (linguistic variables e.g. ‘slow’, ‘medium’, ‘fast’, ‘very tall’, ‘somewhat low’) rather than precise numerical values
linguistic symbol words, signs, gestures or inscriptions that are both possessors and vehicles of meaning
linguistic turn a major development in Western philosophy during the early 20th century which refocused of philosophy and the other humanities primarily on the relations between language, language users, and the world (Wikipedia)
loaded or leading question one that contains one or more controversial or unjustified assumptions (such as guilt), that restrict the choice of an answer
locus L. place – the position on a chromosome occupied by a gene (or a set of alternative alleles) (Dawkins, R. The Extended Phenotype)
logical behaviourism the thesis that mental concepts can be explained in terms of behavioural concepts (Wikipedia)
logical connective a word or symbol used to connect two or more sentences such that the truth value of the compound sentence produced depends only on that of the components and on the meaning of the connective
logical consequence (a.k.a. entailment) describes the relationship between statements that hold true when one statement logically follows from one or more statements (Wikipedia)
logic of paradox a system of paraconsistent logic which attempts to deal with contradictions in a “inconsistency-tolerant” discriminating way (Wikipedia: Paraconsistent logic)
logistic system a deductive system of logic that has deduction, itself, as its subject matter (Copi, I. Symbolic Logic 5th ed.)
long-term memory that part of memory that stores vast quantities of information for potentially a lifetime
lost rigidity according to Kripke, definite descriptions can not be the meaning of proper names, because a name must always must designate the same object in every possible world where it designates at all; however definite descriptions can only designate non-rigidly, hence lost rigidity cf. rigid designator and rigidified descriptions
L-valid (modal validity) if ❬W,R,⊩❭ is a model and α is a wff, then α is valid in ❬W,R,⊩❭ if Γ⊩α for every Γ∈W ; α is valid in the frame ❬W,R❭ if it is valid in every model based on ❬W,R❭; if α is valid in a collection of frames L then it is said to be L-valid
Łukasiewicz’s bold connectives i.e. bold conjunction (&) and bold disjunction (∇) defined as P & Q := ∼(P ⊃ ∼Q) and P ∇ Q := ∼P ⊃ Q, respectively cf. weak connectives
magical thinking the belief that thoughts alone can bring about effects in the world or that thinking something corresponds with doing it
manic-depressive episode periods of alternating depression and abnormally elevated mood that last from hours to days or weeks
Mann-Witney U test a non-parametric test of the null hypothesis that is used to compare differences between two independent groups when the dependent variable is measured on an ordinal scale and may or not be normally distributed
many-valued logic a propositional calculus in which there are more than two truth-values
many-worlds or possible worlds semantics an interpretation of modal logic according to which meanings (or, more precisely, semantic values) are assigned to sentences in terms of the truth-values they take across all possible worlds
marginal likelihood in Bayesian confirmation theory: the prior degree of confidence given to some piece of evidence regardless of whether a certain hypothesis is true – a.k.a. model evidence
masked-man fallacy a fallacy in which some irrelevant piece of knowledge is used to justify a conclusion containing a statement of identity, typically: I know x but I don’t know y; therefore x cannot be y – a.k.a. intensional or epistemic fallacy
mass term or mass noun a term that refers cumulatively e.g. ‘water’ refers to any sum of parts that are water cf. general term and singular term (Devitt & Sterelny, Language and Reality 2nd ed.)
matched samples a pair of samples is matched if each member of a sample is paired with a corresponding member in every other sample by reference to qualities other than those immediately under investigation (stats.oecd.org)
material fallacy one that involves some problem concerning the facts of the matter being argued
material implication (material conditional) a logical connective that produces a compound statement known as a conditional which means ‘if A is true then B is also true’
materialism see physicalism
mathematical induction a method for proving that a statement P(n) is true for every natural number n, i.e. that the infinitely many cases P(0), P(1), P(2), P(3) ... all hold cf. strong induction
mathematical model one that relates and quantifies variables of an operational model using mathematical concepts and language
matter 1. anything that has mass and occupies space
maximally consistent formulae a set of formulae S is maximally consistent iff S is consistent and S ⊢ F for any formula F such that S ∪ {F} is syntactically consistent (Fronhöfer, 2011)
mean see arithmetic mean and geometric mean
mean squares value (MSbetween) in ANOVA, the sum-of-squares value (SSbetween) divided by the degrees of freedom (df SSbetween) - Formula:
measures of central tendency measures of the tendency of data to cluster around a central point q.v. arithmetic mean, geometric mean, median and mode
measures of dispersion measures describing the extent to which a data set is spread out or dispersed q.v. standard deviation, variance, range and interquartile range
measures of spread see measures of dispersion
median the middle most value of a data set
meiosis the process by which (usually) diploid cells give rise to haploid gametes or sex cells – a.k.a. reduction division because the number of chromosomes is halved
meme an idea, behaviour, or style that spreads by means of imitation from person to person within a culture and often carries symbolic meaning representing a particular phenomenon or theme
meme-complexes groups of memes analogous to gene-complexes, with high survival value, including the ability to colonise or infect whole societies cf. memeplexes
memeplexes abbreviation of ‘coadapted meme complexes’ which comprise of groups of memes that are replicated together cf. meme-complexes
memory the capacity by which information is encoded, stored, and retrieved when needed
memory effect of a test see carryover or memory effect
Mendel’s law of independent assortment the genes for each character are transmitted independently to the next generation, so that the appearance of one character in an offspring will not affect the appearance of another character cf. genetic linkage
Mendel’s law of segregation in a parent, the two alleles for each character separate in the production of gametes, so that only one is transmitted to each individual in the next generation
Mentalise (mĕn′tl-ēz′) a proposed special mental language of thought cf. public language-of-thought hypothesis
Mentalise hypothesis if a person’s native language is English, then according to the Mentalise hypothesis, they speak by translating Mentalese into English and they understand by translating English back into Mentalise; however according to Fodor’s strong version of the Mentalise hypothesis, Mentalise is both universal and largely innate
meta-analysis a statistical analysis that combines the results of multiple studies
metabolism the set of life-sustaining chemical transformations that occur within living systems
metalanguage a language used to describe another language, often called the object language; a metalanguage, may itself be a formal language, and as such itself is a syntactic entity, the structures of which can be described by a metasyntax (Wikipedia)
metaphysics that branch of philosophy that deals with questions of ultimate reality and existence (ontology)
metasyntax the syntax of a metalanguage
method of deduction a method of logical reasoning that relies on a number of elementary arguments which are already known to be valid to deduce conclusions of more complex arguments from their premises
millet system refers to the Ottoman administration of separate religious communities that acknowledged each community’s authority in overseeing its own communal affairs, primarily through independent religious court systems and schools (Religion and Public Life: Harvard Divinity School)
mind guards self-appointed members of a group who shield the group from dissenting information
Mirimanoff’s paradox if we let W be the set of all grounded sets, then if W is grounded then W ∈ W and W ∈ W ∈ W, and so on, then W is not grounded; however if W is not grounded then there is a sequence of sets y1, y2, y3, … such that ∈ y3 ∈ y2 ∈ y1 ∈ W, hence y1 is not grounded and cannot be a member of W; therefore in either case W leads to a contradiction (Copi, I. Symbolic Logic 5th ed.)
mirror neurons those that fire both when an animal acts and observes the same action performed by another animal
misinformation false information that is spread regardless intent to mislead cf. disinformation
mitosis the process of cell division during which the genetic material is duplicated, giving rise to two genetically identical daughter cells
modal logic an extension of propositional and predicate logic to include operators expressing modality (L. modus for ‘manner’, or ‘way’), qualifying how such propositions might be true or false
mode the value that appears most often in a set of data values
model evidence see marginal likelihood
model for a propositional formula an interpretation I = (W2; ⋅I) is called a model for a propositional formula F such that I ⊨ F iff FI = T; similarly, an interpretation I is called a model for G such that I ⊨ G iff I is a model for all F ∈ G (Fronhöfer, 2011)
model universe a logical model of the universe involving a very limited domain
Modern Synthesis the synthesis of Darwin’s theory of evolution and Mendel’s ideas on heredity, to which may be added, the mid-century discovery of the molecular machinery of heredity and protein synthesis
module of the mind a distinct, specialised, and semi-independent neural network that evolved to solve a specific adaptive problem
modus ponens an elementary valid argument of the form: if A then B, A /∴ B
modus tollens an elementary valid argument of the form: if A then B, not B /∴ not A
monadism the belief, according to Leibniz, that reality, and in particular matter, is ultimately composed of indivisible entities
monism the ontological thesis that there is only one substance out of which everything is composed cf. dualism – alternatively, according to Spinoza, the claim that one infinite substance, God or Nature, is the only substance that exists
monotonic function a function between ordered sets that preserves or reverses the given order of the elements
monozygotic see heterozygotic
Moralität (Hagel) an understanding of universal human needs and rationality by classic liberals such as Locke and Kant, using this ahistorical conception to evaluate existing social and political affairs; dismissed by Hagel as too abstract and individualistic to provide much guidance; since it neglected the way in which humans are embedded in their historical context and relations
morphogen a substance whose non-uniform distribution governs the pattern of tissue development in the process of morphogenesis or pattern formation,… establishing positions of the various specialized cell types within a tissue (Wikipedia: Morphogen)
morphogenesis the biological process that causes a cell, tissue or organism to develop its 3-dimentional shape [or form] (Wikipedia: Morphogenesis) cf. morphogen
multiple realizability the idea that the same mental property, state, or event may be realised by multiple physical properties, states, or events
multi-variate ANOVA (MANOVA) an extension of the univariate analysis of variance for several dependent variables at the same time
multivariate normality accordingly, the distribution of two or more variables should be multivariate normal, i.e. every linear combination of variables should also have a univariate normal (Gaussian) distribution
mutually exclusive two events (or propositions) are mutually exclusive or disjoint if they cannot both occur at the same time (Wikipedia)
naïve hedonism the belief that we should always do what is pleasurable
name (classical description theory) according to Frege and Russel, the sense of a name is given by a definite description associated with that name, thus names are abbreviated definite descriptions
name (common sense notion) according to John Stuart Mill, a name is defined as, “a word that answers the purpose of showing what thing it is that we are talking about but not of telling anything about it” – this notion is problematic for several reasons – see text
name (modern description theory a.k.a. “cluster” theory) according to Peter Strawson and John Searle, the meaning of a name is tied to a cluster of descriptions that express the sense of the name, which in turn determines its referent i.e. a name refers to an object, if any, that most but not necessarily all, of those descriptions denote (Devitt & Sterelny, Language and Reality 2nd ed.)
nation a large type of social organization where a collective identity, a national identity, has emerged from a combination of shared features across a given population, such as language, history, ethnicity, culture, territory or society – some nations are constructed around ethnicity while others are bound by political constitutions (Wikipedia)
nationalism identification with one’s own nation and support for its interests, especially to the exclusion or detriment of the interests of other nations (Oxford Languages)
nation-state an independent political state formed from a people who share a common national identity (historically, culturally, or ethnically) (OED)
nativist theories those that emphasise the role of innate knowledge or structures in their explanations (e.g. Chomsky’s)
natural experiment one in which “Nature” or happenstance determines which individuals are exposed to experimental or control conditions in an experiment without design
naturalism the belief that only natural (as opposed to supernatural or spiritual) laws and forces operate in the universe
naturalism (psychiatry) the belief that adverse changes in the neural substrate or functioning are causally implicated in the development and persistence of mental disorders cf. naturalism
naturalistic fallacy one that makes a claim about what ought to be, based on statements about what is the case
natural kind an intellectual grouping, or categorizing of things, in a manner that is reflective of the actual world, and not just human interests (Wikipedia: Natural kind) – as a group of singular objects they always share particular qualities (known or unknown), which researchers attempt to explain via scientific knowledge
natural meaning a causal or ‘reliable sign of’ something or some event e.g. ‘those clouds mean rain’ means that those clouds are the cause of, or a reliable sign of rain cf. non-natural meaning or meaningNN
Natural philosophy a.k.a. philosophy of nature the precursor to modern science encompassing physics (nature) chemistry, geology, biology and anthropology, without recourse to theology
natural selection 1. the differential survival and reproduction of individuals due to differences in their phenotype (Wikipedia) 2. descent with modification from preexisting species 3. cumulative inherited change in a population of organisms through time leading to the appearance of new forms 4. the process by which new species or populations of living things develop from preexisting forms through successive generations 5. the scientific theory explaining the appearance of new species and varieties through the action of various biological mechanisms (such as natural selection, genetic mutation or genetic drift, and hybridization) (Merriam-Webster Dictionary) 6. the change in the frequency of alleles within a population over time
necessary being one that is impossible not to exist
necessitation the reasonable assumption that if we have a logical proof of P, then P must be necessary – in symbols ⊢ P ⊃ ◻P
necessity it is necessary that P if and only if it is not possible that not P – In symbols ◻P ≡ ∼◊∼P
negative entropy 1. entropy, taken with the negative sign, as a measure of order 2. in information theory and statistics, shortened to negentropy as a measure of distance to normality equivalent to information
Neolithic Revolution a.k.a. First Agricultural Revolution the transition of humans in Afro-Eurasia from a life of hunting and gathering to one of agriculture and settlement
neural correlates of consciousness (NCC) the minimal set of neuronal events and mechanisms sufficient for a specific conscious percept (Koch, C. The Quest for Consciousness)
neutral or indeterminate truth value a truth value (⊙) that is neither true nor false (nor somewhere in between true and false)
neutral state one that does not favour policies or actions justified by the intrinsic superiority or inferiority of conceptions of the good life, and does not attempt to sway people’s judgement concerning the value of such conceptions cf. perfectionism
new atheism advocates that that superstition, religion and irrationality should not simply be tolerated but should be countered, criticized, and challenged by rational argument, especially when they exert undue influence, such as in government, education, and politics (Wikipedia: New Atheism) cf. new atheism
new riddle of induction an illustration of our ability to distinguish lawlike from non-lawlike generalisations: lawlike generalisations are capable of confirmation while non-lawlike generalisations are not; however lawlike generalisations are required for making predictions (Wikipedia)
nihilism the belief that nothing or no value or meaning exists, or can be known
Nirvana a transcendent state in which there is neither suffering, desire, nor sense of self, and the subject is released from the effects of karma and the cycle of death and rebirth (Oxford Languages)
nocebo L. an inert substance or sham treatment that has adverse effects; the opposite of a placebo
noise in statistics, unexplained random variation that occurs in any real life data
nominal variable a variable used to name, label or categorize particular attributes that are being measured – they can take on values that represent logically separate concepts that cannot be meaningfully ordered
non-declarative or implicit memory refers to the unconscious storage and retrieval of information, including procedural memory cf. declarative or explicit memory
non-decreasing connective using the ranking T > ⊙ > F for all interpretations, I holds that PI ≤ R ⊃ PI ∘* QI ≤ RI ∘* QI and PI ≤ RI ⊃ QI ∘* PI ≤ QI ∘* RI (Fronhöfer, 2011)
non-directional or two-tailed test a standard test of significance to determine whether there is a relationship between variables in either direction i.e. either greater than or less than a certain value or range of values
non-fluent aphasia persons with damage to Broca’s area of the brain my have great difficulty expressing themselves verbally, while retaining comprehension cf. fluent aphasia
non-natural meaning or meaningNN semantic meaning based on the idea of speakers' intentions, including the standard, literal or conventional meaning of a sign, and what a speaker means by a sign on some occasion cf. natural meaning
non-parametric statistical tests statistical tests not based on assumptions about the distribution of populations, i.e. data may be compiled from a sample that does not follow a specific distribution cf. parametric statistical tests
non-reflexive relation a relation is non-reflexive if it is neither totally reflexive, reflexive nor irreflexive
non sequitur a fallacy so called because it simply does not follow – usually reserved for fallacies that defy classification
non-symmetrical relation
a relation is non-symmetrical if it is neither symmetrical nor asymmetrical
[CR14]
non-transitive relation a relation is non-transitive if it is neither transitive nor intransitive
normal extension of a classical n-ary connective a n-ary connective ∘X/n of a many-valued logic X is a normal extension of a classical n-ary connective ◻/n, or normal for short, iff ∘*X is normal and ∘*X|W2n = ◻* (Fronhöfer, 2011)
normal (Gaussian) distribution a type of continuous probability distribution for a random variable
normality lemma in a normal 3-valued logic, a classical interpretation behaves exactly as it does in classical logic i.e. every formula that is true on that interpretation in the 3-valued logic is also true on that interpretation in classical logic, and every formula that is false on that interpretation in the 3-valued logic is also false on that interpretation in classical logic (Fronhöfer, 2011)
normal many-valued logic a many-valued logic is called normal iff the truth tables of all its standard connectives are normal (Fronhöfer, 2011)
normal propositional truth function (of a 3-valued logic) a n-ary propositional truth function f3: W3n → W3 (of a 3-valued logic) is normal iff it is the extension of any n-ary two-valued truth function f2: W2n → W2 i.e. f3|W2n = f2 (Fronhöfer, 2011)
normativity of the mental ascribing a propositional attitude to a person, such as believing, knowing, fearing, wanting, hoping… that x requires that we must also ascribe to them all of the beliefs which are logical consequences of that ascription, in accordance with the principle of charity
nosology that branch of medicine dealing with the classification of diseases
no technical solution problems problems that cannot be solved by focusing on technological fixes e.g. human overpopulation
no true Scotsman a group of fallacies in which someone attempts to shield a universal generalisation from a counterexample by changing a definition in the generalisation to a “TRUE X”, so as to exclude the counter example
noumenon Kant’s term for a thing-in-itself that exists objectively, though independently of human sense or perception G. Ding an sich cf. phenomenon
nuisance variable a variable that can influence the outcome of an investigation but that is of no particular interest in itself
null hypothesis H0 1. in general, the default hypothesis, a statement of what would be the case if the observed phenomenon was merely the result of chance 2. in statistical hypothesis testing, a statement that claims that the observed or inferred sample is that of a purely random outcome cf. alternate hypothesis
numerical identity the relation everything has to itself and to nothing else (Stanford Encyclopedia of Philosophy) cf. identity of indiscernibles
objective probability one that is independent of mental states such as preferences, expectations, beliefs and desires
object language a language described by a metalanguage
obscurum per obscurius L. explaining the obscure by the more obscure
Occam’s razor a problem-solving principle that states: “entities must not be multiplied beyond necessity.” In practical terms this means that among competing hypotheses, the one with the fewest assumptions should be preferred. L. lex parsimoniae
one-tailed test see directional or one-tailed test
one-to-one if a function 𝑓 from X to Y maps distinct elements in X onto distinct elements in Y then the function is said to be one-to-one
one-to-one correspondence if 𝑓: X→Y is one-to-one and onto Y, then 𝑓 effects a pairing of the elements of X with those of Y, and as such, is called a one-to-one correspondence between X and Y (Copi, I. Symbolic Logic 5th ed.)
ontogenesis the course of development of an organism from the earliest stage to maturity – adjective ontogenetic (O.E.D) cf. ontogeny, phylogeny / phylogenesis
ontogeny the origin and development of the individual organism (O.E.D.) cf. ontogenesis, phylogeny / phylogenesis
ontological argument an argument that purports to prove the existence of God based on one conception of existence
opaque context see intensional context a.k.a. opaque context
operationalisation in science, the means by which the measurement of a phenomenon that is not directly measurable is defined as indicated by the existence of other phenomena that are directly measurable
operational model one in which the relevant variables are operationalised cf. operationalisation
operations on classes (derived) operations on classes e.g. class inclusion (⊂), that can be derived from those that are considered fundamental (below)
operations on classes (fundamental) make the relation between sets or classes explicit, three of which are regarded as fundamental i.e. sum or union (∪); product or intersection (∩) and complement (overscore or – )
order and disorder in physics, order and disorder are used to designate the presence or absence, respectively, of some symmetry or correlation in a many-particle system. (Wikipedia: Order and disorder) cf. entropy
order-from-disorder principle a term coined by Erwin Schrödinger to describe how most macroscopic laws, which are orderly and regular, depend upon events on the microscopic scale, which are seemingly random and can only be described statistically
order of precedence the order in which logical operators should be applied – parentheses are used where the intended order of operations is not obvious
order type two ordered sets X and Y are said to have the same order type if they are order isomorphic i.e. 𝑓: X→Y such that both 𝑓 and its inverse are monotonic (preserving the given order of the elements)
ordinal number α is an ordinal number = df α is a well-ordered set such that s(ξ) = ξ for every ξ in α
ordinal product the ordinal product of two well-ordered sets A and B is the Cartesian product A × B, ordered as follows: begin with B disjoint sets, each similar to A; these can be produced as well ordered sets Ab = A × {b} for each b in B, then the set of all these disjoint Ab’s, {Ab: b ∈ B}, has, as its sum, ∪ {Ab: b ∈ B} ordered so that (a ; b) < (a’ ; b’) iff either b < b’ or (b = b’ and a < a’) (Copi, I. Symbolic Logic 5th ed.)
ordinal sum a natural addition on ordered sets such that given A and B are characterised as disjoint, well-ordered sets, allows us to define the order in A ∪ B in such a way that pairs of elements in A and pairs of elements in B keep their order, letting each element of A precede each element of B, then the union A ∪ B is known as the ordinal sum of A and B (Copi, I. Symbolic Logic 5th ed.)
ordinal variable a categorical variable whose values can be ranked or ordered
organisation among living systems, a high degree of order and complexity relative to their environment
organism a living thing
original position a hypothetical position designed to reflect what principles of justice would be manifest in a society based on liberty and fairness and the promotion of cooperation between citizens
outliers data points more than ± 3.29 standard deviations from the mean which are usually excluded as they tend to skew results too far one way or the other
output variable see dependent variable
overconfidence effect a cognitive bias by which our subjective confidence in our own judgements systematically exceeds their objective accuracy, especially when confidence is relatively high
overdetermination when a single-observed effect is determined by multiple causes, any one of which alone would be conceivably sufficient to account for or “determine” the effect. (Wikipedia: Overdetermination)
overlapping consensus the end result of different arguments that appeal to different groups in society, in which all agree on the necessity of upholding basic liberties, albeit for different reasons (Kymlicka, W. Contemporary Political Philosophy 2nd ed.)
overplacement the false belief that one is better than others
pair set or doubleton a set containing just two members
panentheism the Pauline doctrine that God is in all cf. pantheism
panpsychism the belief that every material thing has an element of individual consciousness
panspermia the hypothesis that the “seeds” of life exist throughout the universe and can be propagated via comets, meteoroid, asteroids or interstellar dust to different locations
pantheism the belief that The Universe is God or that God is Everything cf. panentheism
paraconsistent logic a type of non-classical logic that allows for the coexistence of contradictory statements without leading to a logical explosion, where anything can be proven true (Wikipedia: Paraconsistent logic) cf. logic of paradox
paradigm shift a fundamental change in the basic concepts and experimental practices of a scientific discipline (Wikipedia)
parallelism accordingly, mental and physical events are (or were) perfectly coordinated (by God) so that when one mental event takes place, a corresponding physical event takes place, even though neither is the cause of the other
parallel postulate if two straight line segments on a plane intersect with at third, so that they form two interior angles on the same side which together are less than 180 degrees, then the two line segments, if extended indefinitely, will meet on the side on which the angles together are less than 180 degrees
parameter a number summarizing data for a population cf. statistic
parametric statistical tests statistical tests based on assumptions about the distribution of populations or sampling estimates of them cf. non-parametric statistical tests
paratypes specimens displaying a range of variation of a species, usually deposited in a museum collection together with the holotype for future taxonomists to consult
parentheses (brackets) symbolised as ‘(…)’ or ‘[…]’or ‘{…}’ parentheses are used in Logic as they are in Mathematics, Physics or Chemistry to indicate grouping or to signify the order of precedence of operators
parsimonious in science, a theory or model that has the fewest assumptions and variables but with greatest explanatory power
parsing the process of resolving a string of raw data or text into their component parts and identifying their syntactic roles
parthenogenesis “virgin birth” from an unfertilized embryo, as seen in some insects like aphids but also in some vertebrates, such as whiptail lizards
partial designation where there is some ambiguity about the reference of a name, partial designation allows that an object need not be uniquely designated but may partially designate more than one object cf. designation
partial model (modal logic) a model in modal logic that allows some statements to be neither true nor false
partial order in a set a set in which the relations of reflexivity and antisymmetry and transitivity obtain
particular affirmative a particular proposition of the form Some S is P that affirms something of at least one member of a class
particular negative a particular proposition of the form Some S is not P that denies something of at least one member of a class
patch clamp technique a technique for measuring changes in voltage across a section of a cell membrane containing an ion channel
Pearson product-moment correlation coefficient (Pearson’s r) a correlation coefficient given by the ratio between the covariance of two variables and the product of their standard deviations – Formula:
perfectionism the view that the state may, or should, promote valuable conceptions of the good life and discourage conceptions that are worthless or bad (Mang, F Perfectionism, Public Reason, and Excellences) cf. neutral state
permutation the number of ways of selecting items from a group such that order is taken into account
personality (psychiatry) the characteristic configuration of behaviour response patterns that each person evolves as a reflection of his or her individual adjustment to life (Sadock, B. et al. Eds. Kaplan & Sadock’s Comprehensive Textbook of Psychiatry, 10th ed.)
person-type (Williams) if several replicas were created of a person, say Mary Smith, they would all be token Mary Smiths of the original type (Williams, B. Problems of the Self)
perspectivalism see perspectivism
perspectivism the idea that one person’s knowledge is inevitably partial and limited by the perspective from which it is viewed and that any subject must be viewed and analysed from multiple perspectives; which if properly applied leads to a broader understanding of the subject – a.k.a. perspectivalism
petty bourgeoisie 1. a social class composed of semi-autonomous peasantry and small-scale merchants (Wikipedia) 2. the lower middle class, especially when perceived as conventional and conservative (Oxford Languages) cf. bourgeoisie
phenomenon Kant’s term for the immediate object of sensory intuition cf. noumenon
phenotype all of an organism’s potentially observable traits cf. genotype
pheromone a volatile chemical substance produced and released into the environment by an organism, affecting the behaviour or physiology of others of its species
philosophy 1. the most general of disciplines, relying principally on rational argument 2. that field of study that concerns itself especially with metaphysics, epistemology, logic, ethics and aesthetics 3. thinking about thinking
phlogiston (theory) attempted to explain such chemical processes as combustion and rusting, now collectively known as oxidation – the theory postulated the existence of a fire-like element, known as phlogiston, contained within flammable bodies that would be released along with heat during combustion
phylogenetic / phyletic relating to or denoting the evolutionary development of a species or other taxon – adjective of phylogeny / phylogenesis
phylogenetic constraints limitations on change arising in the evolutionary history of a group (phylogeny) cf. developmental constraints
phylogeny / phylogenesis the evolutionary development of a species through successive forms (O.E.D.) – adjective phylogenetic / phyletic cf. ontogenesis
physical, the anything and everything that comprises of matter and/or energy
physical constraints those imposed by the laws of physics or chemistry
physical criterion of personal identity according to the improved version: 1) what is necessary is not the continued existence of the whole body, but the continued existence of enough of the brain to be the brain of a living person; thus person X today is one and the same as person Y some time past, if and only if, 2) enough of Y’s brain continued to exist and is now X’s brain, and 3) this physical continuity has not taken a “branching” form; and 4) personal identity over time just consists in the holding of facts like 2) and 3) (Parfit, D. Reasons and Persons)
physicalism the ontological thesis that “all is physical” or that “there is nothing over or beyond what is physical” cf. monism and central-state identity theory
Physical Stance (Dennett) accordingly, behaviour could, in principle, be explained by the physical laws governing the interactions of constituent matter – one of three explanatory levels of abstraction according to Dennett, The Intentional Stance (1989) cf. Design Stance and Intentional Stance
physics envy the inappropriate pressing of non-fundamental disciplines, especially in the “soft sciences” and humanities, into the theoretic and empirical mould of physics (Wikipedia)
pilot study a small scale, preliminary study conducted prior to the full-scale research project
placebo L. an inert substance or sham treatment that has no therapeutic value, chosen for comparison in clinical trials cf. nocebo
point mutation a genetic mutation where a single nucleotide base is replaced, inserted or deleted from an organism’s genetic code cf. single nucleotide polymorphism (SNP)
poisoning the well a fallacy in which prejudicial information is presented in order to discredit or ridicule a target before she has had a chance to state her case
political liberalism a view in favour of a state that interferes minimally with the freedoms of individuals and groups... [it] is mainly concerned with what should and shouldn’t be the role of the state (StackExchange Philosophy) cf. comprehensive liberalism
politics of the common good “According to a common good conception of political morality, members of a political community stand in a social relationship with one another. This relationship is not as intimate as the relationship among family members or the members of a church. But it is a genuine social relationship nonetheless, and it requires members not only to act in certain ways, but also to give one another’s interests a certain status in their practical reasoning.” (Stanford Encyclopedia of Philosophy (The Common Good))
polyadic predicate a predicate with many subjects, that represents the relation that subsists between them cf. predicate and relation
polypeptide a single linear chain of amino acids (<50) (Wikipedia)
polytheistic faiths those that have many gods
pooled standard deviation (σp) a weighted average of standard deviations for two or more groups – the individual standard deviations are averaged, with more “weight” given to larger sample sizes (statisticshowto.com) – formula:
population a complete set of items, beings or events that share some property in common cf. sample
positive feedback a characteristic of any system in which the output of the system is fed back into the input in such a way as to increase the output even more e.g. O produces more of I which in turn produces even more of O
possibility it is possible that P if and only if it is not necessary that not P – In symbols ◊P ≡ ∼◻∼P
possible outcomes the total number of possible results of a probability experiment
possible worlds semantics see many-worlds or possible worlds semantics
Post criterion for consistency any system is consistent if it contains (that is, can express) a formula that is not provable as a theorem within the system
post-truth relating to or denoting circumstances in which objective facts are less influential in shaping public opinion than appeals to emotion and personal belief (Oxford Dictionaries)
postulate see axiom
power axiom the totality of subsets within a given set E is such that there exists a set S and for all x, x is an element of S if and only if x is also a member of E – formula:
power of a statistical test the ability of a statistical test to detect a significant relationship between variables when such a relationship does in fact exist – formula:
power set (𝒫) the power set 𝒫E is defined as the set of all x such that x is a member of E
pragmatic theories of truth several epistemic theories that regard utility as the essential mark of truth i.e. a proposition is regarded as true if it is useful or expedient to believe
preadaptation an adaptation which serves a different purpose from the one for which it evolved (Oxford Languages)
precise a term or predicate for which there are no borderline cases in their domain of application
precuneus the portion of the superior parietal lobule on the inner surface of each brain hemisphere – researchers propose that this subregion is “integral to a range of cognitive processes that require the self’s physical point of reference, given its location within a spatial environment" (Kwon, D. How the Brain Creates Your Physical Sense of Self
predestination a kind of fatalism according to which, someone, (usually famous) is thought to have emerged from prior circumstances that somehow assured their destiny
predeterminism the belief that all events, past, present and future, have already been determined or known since the origin of the Universe cf. causal determinism
predicate something which is affirmed or denied concerning the subject of a proposition
predicate dualism the view that, while there is only one ontological category of substances and properties, namely the physical, the predicates we use to describe mental events cannot be reduced to physical predicates of natural language cf. predicate monism
predicate monism the view espoused by eliminative materialists, that intentional predicates such as believing, knowing, fearing, wanting, hoping… that x, will ultimately be eliminated from the language of science and ordinary discourse because the entities to which they refer do not to exist cf. predicate dualism
predictive validity (of a questionnaire) assesses the ability of measure(s) in questionnaire to forecast future scores or outcomes on some criterion measure e.g. a questionnaire may be used to assess how compliant patients with high blood pressure are in adhering to their prescribed medication – this could be used to predict future medical outcomes such as actual systolic blood pressure control at their next monthly appointment cf. criterion-related validity and concurrent validity
preformationism or preformism the discredited notion according to which organisms develop from preformed miniature versions of themselves
premise a declarative statement assumed to be true that together with other premises support one or more conclusions within an argument
prenex normal form a syntactic convention in which all the quantifiers in a formula are stacked at the left end, none is negated, and the scope of each extends to the end of the whole formula (Suber, P. 1997)
priming the process of subliminally arousing specific responses from memory following exposure to a certain stimulus e.g. someone who was previously exposed to the word ‘yellow’ will evoke a faster response to the related word ‘banana’ than the unrelated word ‘television’ – one feature of non-declarative or implicit memory
primitive symbols a logistic system requires two kinds of primitive symbols or basic units: ‘propositional’ symbols to stand for propositions and ‘operator’ symbols to stand for logical operators
primitive connectives a set of logical connectives in terms of which all other connectives in a logic can be defined cf. primitive symbols
principle of absorption an identity which resembles that of addition for statements, thus α = α ∪ (α ∩ β) and α = α ∩ (α ∪ β)
principle of anomalism of the mental there are no strict deterministic laws on the basis of which mental events can be predicted and explained (Davidson, D. Metal Events)
principle of bivalence every proposition is either true or false
principle of causal interaction some mental events causally interact with some physical events and vice versa
principle of charity interpreting a person’s statements in the most rational, consistent way possible and, in the case of any argument, favouring its best possible interpretation
principle of comprehension the idea that from any condition expressed by a formula φ(x), it is possible to form the set of all sets x satisfying that condition {x|φ(x)} – the unrestricted use of this principle leads to a genuine contradiction cf. Russell’s paradox
principle of equal consideration of interests unlike the principle of equality which requires that equal cases should be treated equally, the principle of equal consideration of interests requires that equal consideration should be given when determining the rightness of an action and weighing those interests equally
principle of equality (ethics) requires that equal cases should be treated equally cf. principle of equal consideration of interests
principle of natural selection (PNS) if x is fitter than y in environment E, then probably, x will have more descendants than y in E, where x and y may be individual genes, genotypes, organisms, groups, species, or perhaps other biological entities cf. natural selection and fundamental theorem of natural selection
principle of the nomological character of causality events related as cause and effect fall under strict deterministic laws (Davidson, D. Metal Events)
principle of utility Actions are right in so far as they promote happiness or pleasure and wrong in that they tend to produce unhappiness or pain – a.k.a. greatest happiness principle
principled bias on the classical description theory of names, one definite description must be the right one if it is to denote at all, even though other descriptions pick out the same individual; however the theory provides no directive for deciding which association should be given special prominence
prion an abnormally folded protein that causes normal versions of the same protein to assume the misfolded form, causing a chain reaction of cellular damage – the fatal and incurable neurodegenerative diseases, Creutzfeldt-Jakob Disease (CJD) in humans, and Bovine Spongiform Encephalopathy a.k.a. “mad cow disease” in cattle, are familiar examples diseases caused by prions
probability the extent to which an event is likely to occur cf. objective probability and subjective probability
probability density function (PDF) a function of a continuous random variable that specifies the probability of a random variable falling within a particular range of values
probability distribution a statistical function that assigns a probability to each measurable subset of outcomes of an experiment
probability experiment any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space (Wikipedia)
probability mass function (PMF) a function that gives the probability that a discrete random variable is exactly equal to some value (Wikipedia)
probability theory that branch of mathematics which deals with quantities having random distributions (OED)
problem of causal interaction a problem for dualism which fails to explain how mental events, which according to dualism have no physical properties, could ever interact with something that is wholly physical to bring about physical effects
procedural knowledge knowledge of how to do things as opposed to knowledge of facts or propositions
procedural memory refers to the slow and unconscious learning of skills such as learning to ride a bicycle – one part of non-declarative or implicit memory
product or intersection (∩) α ∩ β is the class to which both α and β belong
proletariat the class of modern wage labourers who, having no means of production of their own, are reduced to selling their labour power in order to live (Engels, F. 1888 English edition)
proof a derivation that does not contain any assumptions
propaganda a form of disinformation being biased or misleading in nature, especially to promote a political cause or point of view (Oxford Languages)
proper subset a proper subset of a set α is a subset of α that is not equal to α
proposition the content or meaning expressed by a declarative statement - Propositions are bearers of truth value and may be the objects of belief, and other propositional attitudes.
propositional attitudes 1. inner states: beliefs, desires, hopes, fears, predicting, wishing, but also fearing, loving, suspecting, expecting etc. 2. the relation that a person has with a proposition, such as having an opinion concerning it or responding emotionally to it (Oxford Languages)
propositional calculus practically identical to the sentential calculus but different in theory, in that it deals with propositions expressed by declarative sentences and relations between them as well as their involvement in arguments cf. sentential calculus
propositional consequence a propositional formula F is a (propositional) consequence of a set G of propositional formulae, G ⊨ F iff for every interpretation I it holds that if I ⊨ G then I ⊨ F (Fronhöfer, 2011)
propositional function in predicate logic, propositional functions are expressions that contain individual variables – they become propositions when their individual constants are substituted for their individual variables (Copi, I. Symbolic Logic 5th ed.)
propositional modal model a triple ❬W,R,⊩❭ where W is a non-empty set of possible worlds, R an accessibility relation from W onto W and ⊩ the satisfaction relation
propositional variables symbols that may denote any formula, subject to certain restrictions
protasis see antecedent
proteins large biomolecules, or macromolecules, consisting of one or more long chains of amino acids (Wikipedia)
provable formula a formula F is provable iff F is derivable from the empty set (Fronhöfer, 2011)
proximate explanations provide answers as to how a particular event, state, process, capacity, or disposition is brought about
pseudorandom processes which are deterministic and therefore predictable in theory, but not in practice due to insufficient information e.g. the roll of a die cf. stochastic
psychological behaviourism a theoretical approach that purports to explain human and animal behaviour in terms of external physical stimuli, responses, learning histories, and (for certain types of behaviour) reinforcements (Stanford Encyclopedia of Philosophy: Behaviorism)
psychological connectedness the holding of particular direct psychological connections (Parfit, D. Reasons and Persons)
psychological continuity the holding of overlapping chains of strong psychological connectedness (Parfit, D. Reasons and Persons)
psychological criterion of personal identity involves: 1) psychological continuity if, and only if, there are overlapping chains of strong psychological connectedness, such that X today is one and the same person as Y at some past time if, and only if, 2) X is psychologically continuous with Y, 3) this continuity has the right kind of cause, and 4) it has not taken a “branching” form, 5) and personal identity over time just consists in facts like 2) to 4) obtaining (Parfit, D. Reasons and Persons)
psychophysical laws hypothetical laws linking neuronal events and mental events such that the existence of various types of neuronal events necessitate certain types of mental events (Davidson, D. Metal Events) cf. anomalous monism
public language-of-thought hypothesis accordingly, a person’s language of thought is in their language of speech or signing cf. Mentalise
qualia (singular: quale) instances of subjective, conscious experience (L. quālis “of what sort” or “of what kind”
quantification in science, the act of counting or measuring that maps observations and experiences onto quantities, usually expressed as a number together with a unit of measurement
quantifier in predicate logic, a quantifier specifies the quantity of specimens in the domain of discourse that satisfy a formula that contains at least one unsubstituted variable cf. universal quantifier and existential quantifier
quantifier negation (QN) in predicate logic, quantifier negation is represented four standard logical equivalences involving the negation of quantifiers, which can be used as rules of inference in proofs
quantitatively identical see identity of indiscernibles
quantum indeterminacy the apparent necessary incompleteness in the description of a physical system, that has become one of the characteristics of the standard description of quantum physics (Wikipedia: Quantum indeterminacy)
qua-problem (L. qua for “as”) a problem for the theory of reference fixing by grounding, particularly of names and natural kind terms; when a speaker grounds a term through perceptual experience, in virtue of what is the term grounded in the cause of that experience qua-one-kind and not qua another? For that cause will always be an instance of many kinds e.g. the object may be an echidna, a monotreme, a mammal, a vertebrate, and so on (Devitt & Sterelny, Language and Reality 2nd ed.)
quasi-contradiction a formula is a quasi-contradiction if it is never true; therefore in any 3-valued system it always has the value F or ⊙ cf. quasi-tautology
quasi-entailment a set of formulae S quasi-entails a formula F, in symbols S ⊨q F, iff there is no truth-value assignment on which each of the formulae in S has the value T or ⊙ when F has the value F; i.e. whenever each formula in S has either a T or ⊙ value, then so does F (Fronhöfer, 2011)
quasi-tautology a formula is a quasi-tautology iff it is never false; note however that although all tautologies are quasi-tautologies, not all quasi-tautologies are tautologies because in 3-valued logics quasi-tautologies may have a neutral truth value cf. quasi-contradiction
quasi-valid an argument (S, F) is quasi-valid iff S entails F (Fronhöfer, 2011)
questionnaire a research instrument consisting of a series of predetermined questions or prompts designed to gather information from respondents about a particular issue of interest
radical behaviourism the philosophy motivating “behavioural analysis” according to which animal behaviour can be studied and usefully compared with human behaviour – the environment being regarded as a cause of behaviour as well as the operations involved in the modification of behaviour (Wikipedia: Radical behaviorism)
randomised controlled trial (RCT) a controlled experiment for assessing the efficacy or effectiveness of some clinical intervention; so called because participants are randomly assigned to one of two or more groups, at least one of which is the experimental group and another, the control group
range the interval from the lowest to highest value of any data set
range of a relation R (ran R) the set of all second coordinates of R cf. domain of a relation and field of a relation
rank correlation a measure of the strength and direction of statistical association between two ranked variables
rate one quantity measured against another, in different units (often per unit time)
ratio scales quantitative scales with a defined zero value that allow us not only to order and quantify the difference between values but also to calculate ratios
reading frame spans of DNA sequence between start and stop codons – when used with the term “open” it is meant that the ribosome will be able to keep on reading the RNA code and add another amino acid one after another
realism (philosophy of mind) the claim that mental events such as beliefs, desires and thoughts are real phenomena and not merely artefacts of socio-cultural norms
recessive the opposite of dominant
reciprocal altruism behaviour whereby an organism acts in a manner that temporarily reduces its fitness while increasing another organism’s fitness, with the expectation that the other organism will act in a similar manner at a later time (Wikipedia)
recursive definition a definition relating to or involving the repeated application of a rule, definition, or procedure (to successive results) (Oxford Languages)
readiness potential (RP) a negative spike in recorded neural activity of the motor cortex and supplementary motor area that precedes voluntary movement by 1 to 2 seconds among humans
reductio ad absurdum L. reduction to absurdity – an argument form which seeks to demonstrate that a statement or propositions is true by showing that a false, untenable, or absurd result follows from its denial (Wikipedia)
reductionism several philosophical approaches which hold that complex systems are the sum of their parts and can, at least in principle, be explained as such
reductionism (psychiatry) the belief that at some level, adverse changes in the neural substrate or functioning are necessary to account for mental disorders cf. reductionism
redundancy of the genetic code genes code for proteins, which are composed of a sequence of any of 20 amino acids, each coded by a triplet (codon) of nucleic acids that code for a specific amino acid, and given that there are 4 different nucleic acids, there are therefore potentially 64 different ways of coding for just 20 amino acids; hence there is more than one way of coding for some amino acids
redundant axiom axioms that are not independent are said to be redundant cf. independent axiom
reference G. bedeutung a term coined by Frege for that aspect of meaning concerned with the extension of a term, or what it picks out; also the genus of which all referential relationships – for example, application, designation, denotation – are species (Devitt & Sterelny, Language and Reality 2nd ed.) cf. sense
reference borrowing the acquisition or reinforcement of an ability to use a term as the result of the exercise by another via an act of communication (Devitt & Sterelny, Language and Reality 2nd ed.) cf. reference
reference fixing the act or process of determining reference
referent the thing or phenomenon in the world that a word or phrase denotes or stands for
referential adjective of reference
reflexive relation a relation is reflexive when x has a relation R to itself if there is some y such that Rxy or Ryx cf. totally reflexive relation
refutable see falsifiable
regular connective a connective is regular iff its truth function is regular
regular logic a logic is called regular if the tables of all its standard connectives are regular
regular propositional truth function in a 3-valued logic a given column/row contains T’s or F’s in the ⊙ row/column implies the column/row consists entirely of T’s or entirely of F’s (Kleene, 1952)
regulatory genes produce proteins (a.k.a. transcription factors) that control the rate of transcription of genetic information from DNA to mRNA, by binding to a specific DNA sequence cf. structural genes
relation a connection that one (or more) things or phenomena has to others
relation R (Parfit) psychological connectedness and/or psychological continuity, with the right kind of cause (Parfit, D. Reasons and Persons)
relative fitness the total number of offspring that an organism has compared to the average number of offspring for the population i.e. absolute fitness ÷ average fitness
relative frequency the proportion of times that an event occurs
relative tautology A formula is a relative tautology iff it has a designated truth-value on every interpretation
relativism the doctrine that there are no absolute truths; that truth is always relative to some particular frame of reference, such as a language or a culture
relevance logic requires that the antecedent and consequent of implications should be relevantly related; this is intended to capture aspects of implication that are ignored by material implication in classical truth-functional logic E.g. “If the sun is shining then two squared is four” may be true if translated as a material implication; however it seems intuitively false because a true implication must tie together the antecedent and consequent in a way that is relevant. (Wikipedia: Relevance logic)
reliabilism any of several epistemic theories that hold that a belief is justified if and only if it is the result of some highly reliable process
reliability of an instrument a reliable instrument provides consistent and repeatable measurements
replacement interchanging one statement (or part of a statement) with another that is logically equivalent to it q.v. rule of replacement
replicator any entity in the universe of which copies are made (Dawkins, R. The Extended Phenotype)
representational content the content of mental representations seemingly indistinguishable from the representational meaning of a sentence used to express or communicate a thought
representational validity (of a questionnaire) see translational or representational validity (of a questionnaire)
representativeness heuristic a heuristic used when making judgments about the probability of an event under uncertainty - This is done by judging (i) the similarity or representativeness of events or things to the population from which they are derived; and (ii) the degree to which it reflects the salient features or processes by which it is generated (such as randomness).
representative sample a sample that is independent and accurately reflects the characteristics and proportions of the of the parent population
reproducibility a result obtained by an experiment or observational study is reproducible if it can be repeated using the same methodology by different researchers, yielding the same result
reproduction among living systems, the potential ability to produce new individuals of the same kind, either on its own (asexually) or together with another organism of the same kind, usually of the opposite sex (sexually)
research instruments tools designed to obtain data from objects of interest to researchers
research question a question that a research project sets out to answer
resemblance theory of representation accordingly, we understand a representation because it resembles what it represents
residual matrix in factor analysis, the matrix obtained after the first factor has been partialed out
residuals given by the vertical distance (the difference in the y-coordinates) between each datapoint and the regression line; i.o.w. a residual is a measure of how well a regression line fits an individual data point cf. line of best fit
responsibility the state or fact of being responsible, answerable, or accountable for something within one’s power, control, or management (dictionary.com)
response fatigue although reliability increases with the number of items on the test, so does the length of the test; therefore potential respondents are less likely to participate or to answer thoughtfully or completely
response to stimuli detectable environmental changes, whether internal or external, will elicit a response from a living system
retrodiction a testable “prediction” about some event in the past
retrograde amnesia the inability to retrieve information that was acquired before the date of a specific brain change, operation or head trauma cf. anterograde amnesia
rhetoric the art of persuasion cf. rhetorical device
rhetorical device a technique of language use that is intended to induce an effect on its audience – a.k.a. persuasive device; stylistic device cf. rhetoric
rigid designator designates the same object in all possible worlds in which that object exists, and never designates anything else (Stanford Encyclopedia of Philosophy)
rigidified descriptions in order to avoid the problems of unwanted ambiguity and lost rigidity a ‘rigidity operator’ (e.g. ‘… in the actual world…’) could be introduced into a description so that resultant description limits it to just our world making the name synonymous with the description
rigorous a system is said to be rigorous if no formula is asserted to be a theorem unless it is logically entailed by its axioms (Copi, I. Symbolic Logic 5th ed.)
RNA (Ribonucleic acid) a macromolecule composed of a single polynucleotide chain, essential to various biological roles in coding, decoding, regulation and the expression of genes; also used by many viruses to encode their genetic material (Wikipedia)
RNA splicing the cutting out and rearranging of sections of mRNA
robust (statistics) statistical techniques are said to be roust if they perform well with data drawn from a broad range of probability distributions, including distributions that are not normal
r-strategists species that invest relatively very few resources in a very large number of offspring with a relatively short reproductive period cf. k-strategists
rule of detachment a.k.a. modus ponens, so called because it allows the conclusion to be “detached” from the premises (Fronhöfer, 2011)
rule of replacement a transformation rule that allows the replacement of either a full line or part of a line in a proof with a logically equivalent expression, so that the truth value of the resulting statement is the same as that of the original statement
rule utilitarianism a utilitarian theory according to which an action is right insofar as it conforms to a rule that maximises utility cf. act utilitarianism
Russell’s paradox let φx be the propositional function that x ∉ x i.e. that x is not a member of itself, then we have the set R = {x|x ∉ x}; therefore for any y, y ∈ R ≡ y ∉ y; substituting R for y yields R ∈ R ≡ R ∉ R, which is a contradiction
sacred L. sacerdos and sanctum set apart (for some special purpose)
saltations (evolutionary biology) relatively sudden and large mutational changes from one generation to the next, potentially causing single-step speciation (Wikipedia)
salva veritate L. with (or by) unharmed truth; thus truth preserving
sample a subset of the population, drawn at random or by some other statistical procedure from the population q.v. representative sample cf. population
sample space the set of all possible outcomes of a probability experiment
sampling a method of drawing a sample, or subset of individuals, from a given population in the hope that such a sample will be representative, or a good estimate, of the population for some characteristic of interest
sampling distribution of a statistic a distribution arrived at through repeated sampling, with replacement, from a larger population showing every possible result and the frequency of each result
sampling distribution of the mean the sampling distribution of the mean specifically, as opposed to that for some other statistic q.v. sampling distribution of a statistic
sanctity of life the often hypocritical view that all life is sacred; however in practice this seldom applies to other species or other human beings if they are perceived as inferior or as enemies
satisfaction relation (⊩) in possible worlds semantics ⊩ is the relation between a set of possible worlds W, including a possible world Γ∈W and the set of all wffs, such that ⊩ obeys certain conditions: see
satisfiable proposition a compound proposition is satisfiable if it is true for some assignment of truth values to its variables
satisfiable set of formulae a set of formulae G is satisfiable iff there is an interpretation mapping each element F ∈ G to T (Fronhöfer, 2011)
scatter plot a graphical representation of data points for typically two variables of interest using Cartesian coordinates
science a way of knowing that distinguishes itself from other ways of knowing by being systematic, logical and which builds on the best available evidence and organises knowledge in the form of testable explanations and predictions about the world
scientific hypothesis a testable hypothesis taking account of the best available evidence at the time
scientific law a statement based on repeated experiments or observations that have been widely confirmed cf. scientific theory
scientific model basically a working analogy – a representation of some aspect of real world phenomena that makes them easier to understand, define, quantify, visualize, or simulate by comparing them to events, relations or processes that are already well understood cf. conceptual model, operational model, mathematical model and graphical model
scientific theory a set of relationships among concepts, supported by a group of scientific hypotheses that explain some aspect of the natural world cf. scientific law
scope of an assumption those lines of a conditional proof that depend on a temporary assumption
scope of a quantifier in logic, the scope of a quantifier (or a quantification) is the range of the formula over which the quantifier applies – usually this is indicated to the right of the quantifier in parentheses
second law of thermodynamics the entropy of any isolated system always increases towards thermal equilibrium – the state of maximum entropy of the system
segregation distorter alleles those that distort the process of normal segregation in their own favour, which results in an unequal transmission of alleles from parents to offspringing
selected effects (SE) analysis of function allows biologists to interpret their functional terminology as a literal account of the world, without appealing to notions of teleology and hence backward causation (Wright, 1972 & 1973) cf. causal role (CR) account of functions
self (psychiatry) the psychophysical total of a person at any given moment, including conscious and unconscious attributes (Sadock, B. et al. Eds. Kaplan & Sadock’s Comprehensive Textbook of Psychiatry, 10th ed.)
selfishness the opposite of altruism
self-reference effect (SRE) the tendency for people to encode information differently depending on whether they are implicated in the information – when people are asked to remember information when it is related in some way to themselves, their recall can be improved (Wikipedia)
self-selection a bias that arises in any situation in which individuals select themselves into a group based on some shared characteristic(s)
semantically consistent formulae a set of formulae S is semantically consistent or satisfiable iff there exists an interpretation on which all formulae in S evaluate to T (Fronhöfer, 2011)
Semantic Deduction Theorem a set {P} of formulae entails a formula Q iff P ⊃ Q is a tautology, i.e. {P} ⊨ Q iff ⊨ P ⊃ Q (Fronhöfer, 2011) cf. Syntactic/Proof-Theoretical Deduction Theorem
semantic holism a theory of language according to which a part of a language e.g. sentence (and hence a word), is only meaningful in the context of the whole language cf. holism of the mental
semantic memory refers to memory encoded with a specific meaning cf. declarative or explicit memory
semantics the theory of meaning cf. formal semantics
semantic shift a change in the a meaning of a term in different contexts
semantic theory a theory that attempts to define what a term means
sense G. sinn a term coined by Frege for that aspect of meaning concerned with intension or the concept that a term evokes cf. reference
sentential calculus that branch of logic that deals with declarative sentences and relations between them as well as their involvement in arguments cf. propositional calculus
separation a.k.a. modus ponens
series-person (Nagel) according to Nagel, while a person is essentially a particular embodied brain, an imagined series-person is potentially an R-related series of embodied brains (Nagel, T. The View from Nowhere )
set or class the terms ‘set’ or ‘class’ cannot be defined without circularity and so are treated as undefined or primitive terms when discussed axiomatically – loosely speaking, a collection of “things” known as elements or members which may be real or abstract, including other sets
sex cells a.k.a. gametes represented by sperm and ova in animals – both have only one set of chromosomes each and so are also said to be haploid
shame in psychology, a painful self-conscious emotion caused by consciousness of guilt, shortcoming, or impropriety cf. guilt
shorter truth table technique a test of validity via the method of reductio ad absurdum using only the conditional corresponding to the argument and the consistent assignment of truth values to components of the conditional under the assumption that it is false – if a contradiction arises, the argument to which it corresponds is valid; if not it is invalid
short-term memory see working memory
significance level (α) the probability at which a researcher(s) will be willing to reject the null hypothesis, given that the null hypothesis is true
similar sets (X ≅ Y) two partially ordered sets are said to be similar if there is a one-to-one correspondence between them that preserves order (Copi, I. Symbolic Logic 5th ed.)
simplicate to make a system more complex so that the use of the system is easier or simpler – to intentionally design or modify a complex system so that the end-user experience is simpler; this often involves adding internal complexity to reduce external effort. (Wiktionary.org)
simplification an elementary valid argument of the form: A and B /∴ A
simply ordered set see totally ordered or simply ordered set
simulation the implementation of a model representing some real-world process or system over time
"sin" an act which is regarded as a transgression of divine law and an offence against God (OED)
single nucleotide polymorphism (SNP) a genomic variant at a single base position in the DNA cf. point mutation
singleton see unit set or singleton
singular proposition those that are about a particular individual cf. general proposition
singular term an expression purporting to refer to just one object e.g. names, definite descriptions and demonstratives cf. general term and mass term (Devitt & Sterelny, Language and Reality 2nd ed.)
Sittlichkeit (Hagel) the concept of “ethical life” or “ethical order” espoused by Hegel, that emphasizes the way in which human welfare, identity and our capacity for moral agency is bound up with the community to which we belong, including family, civil society and the State
sleep latency the time elapsed from bedtime to the onset of sleep
slippery slope fallacy a series of graduated events that are assumed, without reason or argument, to follow inevitably, one from the other
Słupecki Tertium operator (T) allows for the definition of a neutral truth constant: n = Tp1 (Fronhöfer, 2011)
Słupecki’s Theorem extending the standard connectives of Ł3 by the T connective results in a complete set of connectives (Fronhöfer, 2011)
social constructivism a sociological theory according to which truth and knowledge are social constructs which are historically and culturally specific and shaped inter alia by power struggles within a community
social contract an actual or hypothetical contract, or agreement, entered into voluntarily between people with competing interests in a “primitive” society in order to secure peace
socialism 1. a political and economic theory of social organization which advocates that the means of production, distribution, and exchange should be owned or regulated by the community as a whole 2. (in Marxist theory) a transitional social state between the overthrow of capitalism and the realization of communism (Oxford Languages)
social learning theory accordingly, learning is a cognitive process that takes place in a social context and can occur purely through observation or direct instruction, even in the absence of motor reproduction or direct reinforcement (Wikipedia) E.g. violent behaviour can be learned by observing a model performing or acting out violent behaviour
social thesis (political philosophy) the belief that the capacity for self-determination can only be exercised in a certain kind of society, with a certain kind of social environment cf. atomistic view of individuals
sociobiology the scientific study of the biological (especially ecological and evolutionary) aspects of social behaviour in [other] animals and humans (Oxford Languages)
Sorites paradox a.k.a. paradox of the heap a group of paradoxical incremental arguments that arise from the application of vague predicates. E.g. if a heap of sand is reduced by removing a single grain of sand at a time, no single grain of sand can identified as making the difference between there being a heap and not being a heap – not the first, nor the second, nor the third… nor the last
soul according to Aristotle, the soul or psyche, is the form of a living thing; thus the soul is related to the body as form is to matter
sound argument a valid argument whose premises are all true cf. unsound argument
sound derivation system a derivation system for classical propositional logic is said to be sound iff all theorems are tautologies, and whenever a formula F is derivable from a set of formulae S, then F is also entailed by S (Fronhöfer, 2011)
Spearman’s rank correlation coefficient (Spearman’s ρ) a non-parametric version of Pearson’s r that measures rank correlation between two ranked variables
special sciences those sciences which are irreducible to fundamental physics; this includes chemistry, biology, neuroscience to which other sciences are sometimes reduced cf. strong autonomy
speciesism the prejudicial bias towards members of one’s own species and against members of other species
specious present the duration in time in which one’s perceptions are considered to be in the present (Wikipedia)
spectrum aetiological concept according to which, mental disorders are regarded as the outcome of a spectrum of possible effects
sphexish an unknowing and mechanical form of ‘seeming intelligence’… totally opposite to what we feel we are all about, particularly when we talk about our own consciousness – noun sphexishness the state or condition of being sphexish (Hofstadter, D Metamagical Themas)
spite harmful behaviour which is costly to perform but which exacts an even greater cost for the target
split-half estimates and the split-half reliability index involves dividing up a sample into two halves e.g. odd items in the first half and even items in the second half or vice versa; both halves are then given to the same individuals and the responses from each half are correlated; the degree of such correlation then is a measure of internal consistency
spontaneous generation the theory that that living creatures can arise spontaneously from inanimate matter as a matter of course a.k.a. abiogenesis
stability of a test see test-retest reliability (stability)
stages of cosmic evolution (Popper) proposed by Popper in 1972: World 1 is the world of things or physical objects, such as rocks, trees and human bodies; World 2 is the worlds of subjective experiences, feelings, emotions and consciousness; World 3 is the world of ideas, language, stories, works of art, mathematics, sciences and technology – according to Popper, these three “worlds” emerged sequentially through an evolutionary process (Popper, K. Objective Knowledge: An Evolutionary Approach)
standard deviation a measure of the extent to which the data points of group deviate from the mean of the group – formula:
standard deviation of the sampling means see standard error
standard error an estimate of the size of the error we are likely to make if we use the mean of the sampling means as an estimate of the population mean – formula:
standardising or normalisation in statistics, the process of converting raw scores to a standardised scheme for interpreting the distribution of probabilities e.g. the conversion of a raw score x into a z-score – formula:
standard normal distribution a special case of the normal distribution where the value of the mean (μ) is 0 and the standard deviation (σ) is equal to 1
standard person or reference person a theoretical model of a human individual which has perfectly “normal” characteristics (Wikipedia: Standard person)
stasis (evolutionary biology) a relative lack of evolutionary change over a long period during the history of a species (Oxford Bibliographies)
state of affairs a worldly situation that either obtains or does not obtain
state of nature the real or hypothetical life of people before societies, civilisation or government came into being
statistic a number summarizing data for a sample cf. parameter
statistical experiment a procedure of drawing a sample with the intention of making a decision
statistical hypothesis a statement about a population parameter that may or may not be true
statistical hypothesis test a formal set of procedures by which to decide whether to accept or reject a statistical hypothesis
statistical relationship requires one variable’s value to increase or decrease when the other variable’s value changes, a relationship that is almost never exact or prefect cf. deterministic relationship
stochastic processes that are non-deterministic and therefore truly random cf. determinism and pseudorandom
straw man fallacy one that misrepresents an opponent’s position in an absurd or ridiculous manner which is easily refuted - The image is of a proponent dressed up as a scarecrow, which the opponent then proceeds to demolish.
strong argument an inductive argument that is well structured such the truth of the premises makes the truth of the conclusion highly probable cf. weak argument
strong autonomy an anti-reductionist position argued for by Jerry Fodor (1974) according to which the special sciences are not even in principle reducible to fundamental physics
Strong Completeness Theorem for a formula A of classical logic and a set of formulae S of classical logic, if S ⊨ A, then S ⊢ A (Fronhöfer, 2011) cf. Weak Completeness Theorem
strong conjunction/disjunction see Łukasiewicz’s bold connectives
strongest possible regular extension of classical 2-valued functions the truth functions of KS3 are regular and have a T or a F in each position where any regular extension of the 2-valued tables can have a T or a F (Fronhöfer, 2011)
strong induction a variant of basic mathematical induction which makes the induction step easier to prove by using a stronger hypothesis i.e. one proves the statement P(m+1) under the assumption that P(n) is true for all natural numbers n less than m+1; by contrast basic induction only assumes P(m) (Wikipedia)
strongly complete derivation system a derivation system is said to be strongly complete (or just complete) iff, in addition, whenever a set of formulae S entails a formula F, then F is also derivable from S within the system (Fronhöfer, 2011) cf. weakly complete derivation system
strong psychological connectedness the existence of enough direct psychological connections that obtain on any day, with “enough” being somewhat arbitrarily defined (Parfit, D. Reasons and Persons) cf. psychological connectedness
structural genes code for proteins that build and operate the body’s cells e.g. haemoglobin, myoglobin, albumin etc. cf. regulatory genes
stupid tax 1. a dysphemism for gambling, in general and the lottery in particular 2. the price you pay for ignorance
subcontraries any two propositions which are so related that they cannot both be false (although both may be true)
subjective probability the odds that a rational agent would assign to the outcome of a particular event, given the available evidence
subject matter expert raters (SMEs) (of a questionnaire) experts who are familiar with the constructs of a questionnaire who review all items for readability, clarity and comprehensiveness
subjects and predicates in predicate logic, the simplest propositions are formed by combining a predicate with an individual, corresponding to the subject in ordinary language
subset see class inclusion (⊂); cf. proper subset
subsist vs. exist historically, concrete objects are said to exist and subsist, while abstract objects are said not to exist but to subsist
substitution a statement written in place of a variable in an argument with the same statement written in place of the same variable, if it occurs elsewhere in the argument
substitution instance in predicate logic, any singular proposition can be regarded as a substitution instance of the propositional function from which it results by the substitution of an individual constant for the individual variable in the propositional function (Copi, I. Symbolic Logic 5th ed.)
substitutivity of identity according to Leibniz’s rule of substitutivity of identity, any singular codesignational term may be substituted salva veritate – this applies to contexts that are extensional or transparent
substrate-neutral algorithm an algorithm that can be implemented by many different physical systems
subtractivity of equality the property of arithmetic subtraction such that if equal quantities are subtracted from equal quantities their difference will be equal
sui generis L. of its own kind (and hence) unique in its characteristics
sum or union (∪) α ∪ β is the class to which α or β belong
sum-of-squares for between-group variability (SSbetween) in ANOVA, the sum of the sample sizes multiplied by the squared differences between samples and the grand mean - Formula:
sum-of-squares for within-group variability (SSwithin) in ANOVA, the sum of squared differences between each value and the group mean for that value plus the same for the second group and the third group etc. - Formula:
summand a quantity to be added to another
summum bonum L. the greatest good
sunken costs fallacy see escalation of commitment heuristic
supererogation L. supererogatio : payment beyond what is needed or asked; hence going beyond the call of duty
supervenience a relation between sets of properties or sets of facts; thus x is said to supervene on y if and only if some difference in y is necessary for any difference in x to be possible (Wikipedia) E.g. mental properties supervene on physical properties in such a way that changes to mental properties can not occur without corresponding changes to physical properties on which they supervene
sweeping generalization see fallacy of accident
syllogism a classic form of a deductive argument often comprising of a general statement (the major premise) and a specific statement (the minor premise) from which a conclusion may be validly derived e.g. All men are mortal. Socrates is a man. / Therefore, Socrates is mortal.
symmetrical relation a relation is symmetrical if x has a relation R to y then y has a relation R to x – formula:
syntactically consistent formulae a set of formulae S is syntactically consistent iff there does not exist a formula F such that both F and ∼F are provable from S (Fronhöfer, 2011)
syntactically inconsistent formulae a set of formulae S is syntactically inconsistent iff there does exist a formula F such that both F and ∼F are provable from S (Fronhöfer, 2011)
syntactic competence the ability of being able to combine words to form grammatical sentences
Syntactic/Proof-Theoretical Deduction Theorem a formula Q is derivable from a set of formulae P1, …, Pn of formulae iff Pn ⊃ Q is derivable from P1, …, Pn-1 – in the special case of n = 1, a formula Q is derivable from a formula P iff P ⊃ Q is a theorem (Fronhöfer, 2011) cf. Semantic Deduction Theorem
syntax a series of rules by which to differentiate strings of symbols in a formal system that are to count as well formed formulae (wffs) from those that that are purely nonsensical (Copi, I. Symbolic Logic 5th ed.)
synthetic statement one that depends for its truth, not only on its meaning, but also on something about the world e.g. All humans are mortal
systemic model of psychology involves viewing people in relations with others especially, but not only, families, rather than individuals – people are seen within the context of their interactional patterns and dynamics... (Skorunka, 2009 Systemic Familytherapy)
tabula rasa L. a blank slate – the idea that humans are born without innate mental content or predispositions
Tao often translated as ‘Way’, ‘path’, or ‘technique’ underlying ultimate reality cf. Taoism
Taoism a diverse philosophical and religious tradition indigenous to China, advocating humility and religious piety cf. Tao
tautology 1. the restatement of a proposition such that it is unconditionally true e.g. “What will be, will be” or “Socrates is either mortal or he is not” 2. a statement that is true for all substitution instances
tautology in a 3-valued logic a formula F that has the value T on all interpretations
tautology of Boolean algebra (BA-tautology) a formula of propositional logic is a tautology of Boolean algebra (a BA-tautology) if the formula evaluates to unit under every algebraic interpretation based on that algebra (Bergmann, M. An introduction to Many-Valued and Fuzzy Logic)
taxon (plural: taxa) a group of one or more populations of an organism or organisms regarded by taxonomists as forming a unit (Wikipedia) – these include species themselves, genera, families, orders, classes, phyla, divisions and kingdoms
t-conorm if v is a disjunctive connective, then if P is F, then P v Q has the value of Q, then v is called t-conorm (Fronhöfer, 2011)
technology anything and everything used do things better
teleological an explanation of a phenomenon in terms of the purpose it serves rather than of the cause by which it arises (Oxford Languages) cf. final or end cause
teleological semantics a semantic theory, usually of thoughts, that holds that the meaning of an expression type is determined by the selective history of that type (Devitt & Sterelny, Language and Reality 2nd ed.) cf. indicator semantics
temporal modalities modalities that express time or tense
tensed identity (persons) identity that obtains between two continuant persons at a given time
testing effect occurs when scores on the post-test are influenced by simple exposure to the pre-test (Statistics Solutions)
test-retest reliability (stability) the closeness of agreement between the results of successive measurements under the same conditions – it provides an indication of stability over time and may be expressed as a correlation
tetradic predicate a predicate with four subjects, that represents the relation that subsists between them cf. predicate and relation
theological determinism the belief that, since God is both omnipotent and omniscient and created the Universe, he or she already knew at the beginning of time the outcome of every event; therefore every event that occurs has been predestined to occur cf. determinism and causal determinism
theorem a statement, in words or symbols, that is formally true (or tautological,) in which all substitution instances are true
theorem to degree v a formula P is a theorem to degree v in Ł3PA if there is a proof [P, v] and there is no proof of [P, w] with w > v
theory of descriptions a.k.a. law of identity Russell’s theory of descriptions is used to analyse sentences in which definite descriptions occur in places in which proper names might occur. Accordingly, subject-predicate sentences containing an occurrence of a proper name are treated differently to those containing definite descriptions. (Ryckman, T Russell's Theory of Descriptions) – see e.g.
theory of everything or final theory a hypothetical coherent theoretical framework of physics containing all physical principles (Wikipedia: Theory of everything)
theory of mind the capacity to understand other people by ascribing mental states to them (that is, surmising what is happening in their mind) (Wikipedia)
ties data from a data set that have the same values
t-norm if • is a conjunctive connective, then if P is T, then P • Q has the value of Q, then • is called t-norm (Fronhöfer, 2011)
token identity theory any theory of mind in which particular mental states or events are identified with some or other physical states or events cf. type identity theory
tool an object that aids in accomplishing a particular task
totally ordered or simply ordered set a set in which all distinct members are ordered by a relation (note: all totally ordered sets are also partially ordered but not vice versa) cf. partial order in a set
totally reflexive relation a relation R is totally reflexive if everything has that relation to itself, i.e. if Rxx, e.g. x is identical to itself cf. reflexive relation
tragedy of the commons a situation in which individuals with access to a public resource (or common) act in their own rational self-interest to over consume the resource, at the expense of every other individual, and in so doing so ultimately deplete the resource
trait a distinct variant of a phenotypic characteristic of an organism e.g. eye colour or blood type: A, B or O – a.k.a. phenotypic trait; character state (Wikipedia)
transfinite induction an extension of mathematical induction to well-ordered sets: suppose P(α) is a property defined for any ordinal number α, and that whenever P(β) is true for all β < α, then P(α) is also true; then transfinite induction tells us that P is true for all ordinals (Wiktionary)
transitive relation if x has a relation R to y and y has the same relation R to z then x has the same relation R to z – formula:
transitive set a set that contains every member of any of its members – formula:
transitivity of equality things that are equal to the same thing are also equal to one another (Euclid, Elements) cf. transitive relation
translational or representational validity (of a questionnaire) a function of how well theoretical constructs are represented by operational measures within a questionnaire
trend forecasting or impact of change uses regression analysis to predict trends and future values or point estimates
triadic predicate a predicate with three subjects, that represents the relation that subsists between them cf. predicate and relation
true-breeding an organism, sometimes called a purebred, that always passes down certain phenotypic traits to offspring of many generations
truth condition a situation or condition that would make a declarative statement (and the proposition it expresses) true cf. declarative statement and proposition
truth function a logical function that has truth values (true and false) as input and a unique truth value (true or false) as output
truthiness 1. that which has the ring of truth about it, but for which there is absolutely no evidence (UCT, Department of Philosophy c. 1996) 2. the quality of preferring concepts or facts one wishes to be true, rather than concepts or facts known to be true (Merriam-Webster Dictionary)
truth table a diagram in rows and columns showing how the truth or falsity of a compound proposition varies with that of its components cf. shorter truth table technique
truth value a value indicating the relation of a proposition to truth - In classical logic there are two truth values: true and false.
truth-value assignment (propositional logic) a mapping that assigns a truth value to each of the proposition constants in the language (Stanford Introduction to Logic, Ch. 2) cf. context of discussion:
t-test a statistical test that is used to determine the significance of the difference between the means of two groups
tc -test A t-test for two independent samples that is used to determine the significance of the difference between their means
td -test A t-test for two dependent samples that is used to determine the significance of their mean difference scores
tunnel vision a reluctance to consider alternative ideas or opinions to one’s own or, in the case of social media, to those of one’s “liked” contacts or followers cf. groupthink
Turing machine an abstract machine with a finite number of programme states that manipulates symbols on a strip of tape of infinite length, according to some table of rules to determine a result from a set of input variables
Twin Earth a planet imagined by Hilary Putnam which is just like Earth in every respect, right down to the existence of an identical double or doppelgänger of every Earthling; each doppelgänger would speak a language that is phonologically and syntactically the same as that spoken on Earth; however according to Putnam, their languages would not be semantically the same, at least not for names, because they would be referentially different
two-level utilitarianism a utilitarian theory according to which moral decisions should be based on a set of general ‘intuitive’ moral rules, except in rare circumstances in which it is more appropriate to engage in a level of ‘critical’ act utilitarian reasoning
two-tailed test see non-directional or two-tailed test
type I error rejecting the null hypothesis when it’s actually true cf. false positive
type II error failing to reject the null hypothesis when it’s actually false cf. false negative
type identity theory any theory of mind in which certain types of mental states or events are identified with certain types of physical states or events cf. token identity theory
type specimens physical specimens designated as types, including the holotype and paratypes that are kept in a museum, herbarium or research collection
ultimate explanations provide reasons explaining how certain proximate causal mechanisms arose – ultimate explanations are almost always given in terms of the adaptational aetiology of such mechanisms
unbiased operators those where the mean of the estimator coincides with the mean of the quantity itself
Uncertainty Principle a.k.a. Heisenberg's Uncertainty Principle asserts that there is a fundamental limit to the accuracy with which the values for certain pairs of physical quantities of a particle, such as its position and momentum, can be known – formula:
uniform connective a connective is uniform iff its truth-function is uniform
uniform logic a logic is called uniform if the truth tables of all its standard connectives are uniform
uniform propositional truth function a propositional truth function in a 3-valued logic is uniform iff for every row/column of its truth table, the following holds: if all entries (of this row/column) in the classically restricted table are the same - i.e. either T or F - then this value is also in the non-classical cell (of this row/column) (Fronhöfer, 2011)
uniform substitution in any given instance, the same formula must be substituted for every occurrence of the same letter (Fronhöfer, 2011)
union (∪) see sum or union (∪)
unit of measurement a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same quantity (Wikipedia: Unit of measurement)
unit set or singleton a set with exactly one element
universal loosely speaking, what particular things have in common, i.e. their characteristics or qualities that make them what they are – alternatively, a property or relation that can be instanced, or instantiated, by a number of different particular things: each yellow thing provides an instance of the property of yellowness, and each square thing the property of being square. The things covered by a universal are thus similar in some respect (Oxford Dictionary of Philosophy)
universal affirmative a universal proposition of the form All S are P that affirms something of all members of a class
Universal Darwinism the application of Darwinian thinking beyond its domain of biological evolution on Earth to a generalized version of the mechanisms of variation, selection and heredity proposed by Darwin, to explain evolution in a much wider variety of other domains
universal generalisation (UG) in predicate logic, universal generalisation is a valid rule of inference that allows one to move from Φν where Φ is any propositional function whatsoever and ν is any arbitrarily selected object in the domain of discourse to (∀μ)Φμ, provided that ν is a variable that does not occur free either in (∀μ)Φμ or in any assumption within whose scope Φν lies
Universal Grammar according to the linguist Noam Chomsky, certain grammatical structures and rules are innate to all human languages; in other words, we are neurologically hardwired with information about the kinds of rules needed to learn a language
universal instantiation (UI) in predicate logic, universal instantiation is a valid rule of inference drawn from a truth about all members of a class to the truth about a particular individual of that class (Wikipedia)
universal negative a universal proposition of the form All S are not P that denies something of all members of a class
universal quantification in predicate logic, a propositional function that can be satisfied by every member of the domain of discourse
universal quantifier in predicate logic, a type of quantifier symbolised by ∀ for ‘all’ – when used together with a predicate variable (∀x) it reads ‘for all x ...’ or ‘given any x ...’
universal set (U) the non-existent set to which all elements belong, including itself
unsatisfiable proposition a compound proposition is unsatisfiable if it is false for all assignments of truth values to its variables
unwanted ambiguity if, on the classical description theory of names, we had a principled bias and applied it to one user of a name it would, presumably, select a certain definite description that has an important role for that user; however it would almost certainly not select the same definite description for every other member of a speech community, for whom it may have a different yet important role; hence the unwanted ambiguity
unwanted necessity if, on the classical description theory of names, we set aside the problem of ambiguity of a name’s sense and suppose instead that everyone in a given speech community associates a name with a unique definite description, then we can use the name in contingent statements; however if we use the same name as an abbreviated definite description, then the name can feature in necessary statements which are unwanted
Upanishads late Vedic Sanskrit texts of religious teachings which form the foundations of Hinduism (Wikipedia: Upanishads)
union (∪) see sum or union (∪)
unsound argument a valid argument that has one or more false premises cf. sound argument
unspeakable experiment, the an imaginary evil experiment to determine the function of langue in humans by preventing the experimental group from acquiring language while allowing the control group to develop normally, and observing the outcome
upward causation the ability of processes at the sub-microscopic level to produce effects at the macroscopic level e.g. the forces between molecules at the sub-microscopic level account for the physical properties of matter at the macroscopic level cf. downward causation
urban legends or urban myths a genre of folklore concerning stories about unusual (usually scary) or humorous events that many people believe to be true but largely are not
utilitarianism a family of ethical theories that promote actions or laws that maximize the happiness and well-being of the greatest number of individuals – see act utilitarianism, rule utilitarianism and two-level utilitarianism.
vacuous truth a statement that asserts that all members of the empty set have a certain property; e.g. if someone asserts that there are no cell phones switched on in the room, their statement will be vacuously true if there were no cell phones in the room anyway
vague a term or predicate that lacks precise, sharp boundaries, making it difficult to determine whether it applies in certain cases, known as borderline cases (Stanford Encyclopedia of Philosophy) cf. general term 2
valid 1. a deductive argument that is structured in such a way that it is impossible for the premises to be true and the conclusion(s) false cf. invalid
validity of an instrument a valid instrument measures what it is supposed to or intended to measure
valid propositional formula a propositional formula F is valid (⊨ F) iff ∼F is unsatisfiable; alternatively, ⊨ F iff F evaluates to T under every interpretation (Fronhöfer, 2011)
valuation (propositional logic) see truth-value assignment (propositional logic)
variance the square of the standard deviation
varying domain model (modal logic) the frame of which ❬W,R,D❭ is identical to the constant domain model except that D is a function that assigns each world in W to a domain so that the actual domain for a world Γ is not D but D(Γ)
veil of ignorance an imaginary barrier to prevent people in the original position from knowing their place in society beforehand so that they would choose fairly and equitably – see original position
ventromedial prefrontal cortex (vmPFC) part of the mammalian brain located in the frontal lobe at the bottom of the cerebral hemispheres – the human vmPFC is involved inter alia in tasks related to the self-reference effect (SRE)
verbal fallacy one that involves some problem with the way that it is worded
verbosity a rhetorical device that uses more words than necessary
verifiability principle meaning is a method of verification i.e. a statement is meaningful only if it is either empirically verifiable or else a tautology
verisimilitude the notion that some propositions or theories are closer to the truth than others
vertical transmission transmission of a gene, trait, pathogen or meme from a parent to its offspring e.g. from mother to child
verum factum principle L. Verum esse ipsum factum “What is true is precisely what is made” – argued by Giambattista Vico (1710) according to which truth is verified through creation or invention and not, as per Descartes, through observation (Wikipedia)
vitalism the belief that the life-principle is essentially dependent on some non-physical “spirit” or élan vital
volenti non fit iniuria L. to a willing person, injury is not done – a.k.a. voluntary assumption of risk – a common law doctrine which states that if someone willingly and knowingly places themself in a position where harm might result, they may not bring a claim against the other party
volitional interests those for which there are no wrong or right answers, such as whether we prefer chocolate instead of vanilla (Dworkin, R. Sovereign Virtue) cf. critical interests
voluntary assumption of risk see volenti non fit iniuria
von Baer’s law during the development of a species, from embryo to adult, it progressively diverges from developmental pathways followed by its evolutionary relatives, with the result that early embryonic stages are shared by larger groups of more distantly related species while later stages are shared by smaller, more closely related subgroups cf. Haeckel’s law
WASP White Anglo-Saxon Protestant i.e. the British and Scottish settlers of the first 13 American colonies, who were considered elite – Catholics, Eastern and Southern Europeans, Spanish and (especially) Jews were not considered WASPs; on the other hand, at no point were all Caucasians considered WASPs (Gregory Jablynski, Quora)
weak argument an inductive argument in which the truth of the premises makes the truth of the conclusion only slightly probable cf. strong argument
Weak Completeness Theorem for a formula A of classical logic and a set of formulae S of classical logic, if ⊨ A, then ⊢ A (Fronhöfer, 2011) cf. Strong Completeness Theorem
weak connectives the ordinary ‘and’ (⋅) and ‘or’ (v) of classical logic as opposed to Łukasiewicz’s bold connectives (&) and (∇) respectively (Fronhöfer, 2011)
weakly complete derivation system a derivation system for classical propositional logic is said to be weakly complete iff every tautology of classical logic is a theorem within the system (Fronhöfer, 2011) cf. strongly complete derivation system
weakness of the will a lack of self-control or the state of acting against one’s better judgment – a.k.a. akrasia (Wikipedia)
welfare 1. the health, happiness, and fortunes of a person or group 2. [the] chances of survival (Dawkins, R. The Selfish Gene)
well formed formula (wff) a finite sequence of symbols from a given “alphabet” of a formal language that obeys the syntactic formation rules of the system
well-ordered set a partially ordered set such that every non-empty subset of which has a first (least or smallest) element that is related to the ordering relation to every other element in the subset (Copi, I. Symbolic Logic 5th ed.)
weltanschauung G. worldview – a comprehensive conception or theory of the world and the place of humanity within it… an intellectual construct that provides both a unified method of analysis for and a set of solutions to the problems of existence. (encyclopedia.com)
within-group variability variation in values within individual groups without taking into account interactions between other such samples cf. between group variability
within-group variability (MSwithin) in ANOVA, the sum-of-squares value (SSwithin) divided by the degrees of freedom (df SSwithin) - Formula:
working hypothesis an hypothesis that is already widely accepted and forms the basis for further research
working memory that part of memory which holds multiple pieces of transitory information in mind, where they can processed on the order of 10 to 15 seconds
Wu wei (non-action) an ideal practice of “inaction”, “inexertion” or “effortless action” as a state of personal harmony and free-flowing, spontaneous creative manifestation (Wikipedia: Wu wei)
XOR (exclusive or) a logical connective that produces a true compound statement when either disjucnt is true, but false when both disjucnts are true together or false together
z-distribution mathematically identical to the standard normal distribution and used in in testing hypotheses about means or proportions of samples drawn from populations whose standard deviations are known
z-score a measure of how many standard deviations (positive or negative) a datum or raw score x is above the mean
Zermelo-Fraenkel set theory (ZF) an axiomatic system proposed in the early twentieth century by mathematicians Ernst Zermelo and Abraham Fraenkel, in order to formulate a theory of sets that would be free of paradoxes
zero sum game one in which one player’s total gains (or losses) is exactly matched by the other player’s losses (or gains) respectively. i.e. a gain for me is a loss for you and vice-versa
zombie a being who is behaviourally indistinguishable from ordinary humans but who lacks consciousness
zombie arguments any of several arguments in favour of dualism which rely on the metaphysical possibility of zombies
zygote a cell formed by the union of two gametes (a sperm and ovum in the case of animals)
