120 ideas
15357 | Philosophy is the most general intellectual discipline [Horsten] |
15352 | A definition should allow the defined term to be eliminated [Horsten] |
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
15324 | Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten] |
15323 | Truth is a property, because the truth predicate has an extension [Horsten] |
15374 | Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten] |
15348 | Propositions have sentence-like structures, so it matters little which bears the truth [Horsten] |
15333 | Modern correspondence is said to be with the facts, not with true propositions [Horsten] |
15337 | The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten] |
15334 | The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten] |
15336 | The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten] |
15354 | Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten] |
15340 | Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten] |
15345 | Semantic theories have a regress problem in describing truth in the languages for the models [Horsten] |
15373 | Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten] |
15346 | Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten] |
15371 | An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten] |
15332 | 'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten] |
15361 | A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten] |
15350 | The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten] |
15351 | Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten] |
15367 | By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten] |
15330 | Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten] |
15331 | Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten] |
15325 | Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten] |
15344 | Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten] |
15356 | Deflationism concerns the nature and role of truth, but not its laws [Horsten] |
15368 | This deflationary account says truth has a role in generality, and in inference [Horsten] |
15358 | Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten] |
15359 | Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten] |
15329 | Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten] |
15326 | Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten] |
15341 | Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten] |
15328 | A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten] |
3137 | Varieties of singular terms are used to designate token particulars [Rey] |
15349 | It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten] |
15366 | Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
15353 | The first incompleteness theorem means that consistency does not entail soundness [Horsten] |
15355 | Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten] |
15364 | English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten] |
10885 | Computer proofs don't provide explanations [Horsten] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
15360 | ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten] |
15369 | Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten] |
3143 | Physics requires the existence of properties, and also the abstract objects of arithmetic [Rey] |
15370 | Predicativism says mathematical definitions must not include the thing being defined [Horsten] |
15338 | We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten] |
15363 | In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten] |
15362 | If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten] |
3145 | The Indiscernibility of Identicals is a truism; but the Identity of Indiscernibles depends on possible identical worlds [Rey] |
15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
20298 | The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey] |
3172 | Empiricism says experience is both origin and justification of all knowledge [Rey] |
3166 | Animal learning is separate from their behaviour [Rey] |
3232 | Abduction could have true data and a false conclusion, and may include data not originally mentioned [Rey] |
3128 | It's not at all clear that explanation needs to stop anywhere [Rey] |
3136 | The three theories are reduction, dualism, eliminativism [Rey] |
4741 | A very powerful computer might have its operations restricted by the addition of consciousness [Clark,T] |
3141 | Is consciousness 40Hz oscillations in layers 5 and 6 of the visual cortex? [Rey] |
3148 | Dualist privacy is seen as too deep for even telepathy to reach [Rey] |
3164 | Intentional explanations are always circular [Rey] |
3138 | Arithmetic and unconscious attitudes have no qualia [Rey] |
3142 | Why qualia, and why this particular quale? [Rey] |
3224 | If qualia have no function, their attachment to thoughts is accidental [Rey] |
3227 | Are qualia a type of propositional attitude? [Rey] |
3226 | Are qualia irrelevant to explaining the mind? [Rey] |
3229 | If colour fits a cone mapping hue, brightness and saturation, rotating the cone could give spectrum inversion [Rey] |
3223 | Self-consciousness may just be nested intentionality [Rey] |
3162 | Experiments prove that people are often unaware of their motives [Rey] |
3163 | Brain damage makes the unreliability of introspection obvious [Rey] |
3195 | If reason could be explained in computational terms, there would be no need for the concept of 'free will' [Rey] |
3196 | Free will isn't evidence against a theory of thought if there is no evidence for free will [Rey] |
3180 | Maybe behaviourists should define mental states as a group [Rey] |
3165 | Behaviourism is eliminative, or reductionist, or methodological [Rey] |
3167 | Animals don't just respond to stimuli, they experiment [Rey] |
3173 | How are stimuli and responses 'similar'? [Rey] |
3179 | Behaviour is too contingent and irrelevant to be the mind [Rey] |
3127 | Dualism and physicalism explain nothing, and don't suggest any research [Rey] |
3186 | If a normal person lacked a brain, would you say they had no mind? [Rey] |
3188 | Homuncular functionalism (e.g. Freud) could be based on simpler mechanical processes [Rey] |
3216 | Is the room functionally the same as a Chinese speaker? [Rey] |
3220 | Searle is guilty of the fallacy of division - attributing a property of the whole to a part [Rey] |
3206 | One computer program could either play chess or fight a war [Rey] |
3140 | If you explain water as H2O, you have reduced water, but not eliminated it [Rey] |
3134 | Human behaviour can show law-like regularity, which eliminativism can't explain [Rey] |
3200 | Pattern recognition is puzzling for computation, but makes sense for connectionism [Rey] |
3201 | Connectionism explains well speed of perception and 'graceful degradation' [Rey] |
3202 | Connectionism explains irrationality (such as the Gamblers' Fallacy) quite well [Rey] |
3199 | Connectionism assigns numbers to nodes and branches, and plots the outcomes [Rey] |
3150 | Can identity explain reason, free will, non-extension, intentionality, subjectivity, experience? [Rey] |
3129 | Physicalism offers something called "complexity" instead of mental substance [Rey] |
3139 | Some attitudes are information (belief), others motivate (hatred) [Rey] |
3171 | Children speak 90% good grammar [Rey] |
3174 | Good grammar can't come simply from stimuli [Rey] |
3213 | Animals may also use a language of thought [Rey] |
3170 | We train children in truth, not in grammar [Rey] |
3215 | Images can't replace computation, as they need it [Rey] |
3194 | CRTT is good on deduction, but not so hot on induction, abduction and practical reason [Rey] |
3147 | Problem-solving clearly involves manipulating images [Rey] |
3175 | Animals map things over time as well as over space [Rey] |
3207 | Simple externalism is that the meaning just is the object [Rey] |
3176 | Anything bears a family resemblance to a game, but obviously not anything counts as one [Rey] |
3181 | A one hour gap in time might be indirectly verified, but then almost anything could be [Rey] |
3204 | The meaning of "and" may be its use, but not of "animal" [Rey] |
3205 | Semantic holism means new evidence for a belief changes the belief, and we can't agree on concepts [Rey] |
20300 | Externalist synonymy is there being a correct link to the same external phenomena [Rey] |
3209 | Causal theories of reference (by 'dubbing') don't eliminate meanings in the heads of dubbers [Rey] |
3210 | If meaning and reference are based on causation, then virtually everything has meaning [Rey] |
3149 | Referential Opacity says truth is lost when you substitute one referring term ('mother') for another ('Jocasta') [Rey] |
15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
20294 | 'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey] |
20293 | Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey] |
20297 | Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey] |
20301 | The meaning properties of a term are those which explain how the term is typically used [Rey] |
20302 | An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey] |
20303 | Research throws doubts on the claimed intuitions which support analyticity [Rey] |
20299 | If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey] |
3169 | A simple chaining device can't build sentences containing 'either..or', or 'if..then' [Rey] |
3221 | Our desires become important when we have desires about desires [Rey] |