80 ideas
15357 | Philosophy is the most general intellectual discipline [Horsten] |
15352 | A definition should allow the defined term to be eliminated [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] |
15332 | 'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten] |
15346 | Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten] |
15361 | A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten] |
15371 | An axiomatic theory needs to be of maximal strength, while being natural and sound [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] |
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] |
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] |
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] |
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] |
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] |
15363 | In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten] |
15682 | Even fairly simple animals make judgements based on categories [Gelman] |
15691 | Children accept real stable categories, with nonobvious potential that gives causal explanations [Gelman] |
15700 | In India, upper-castes essentialize caste more than lower-castes do [Gelman] |
15685 | Essentialism is either natural to us, or an accident of our culture, or a necessary result of language [Gelman] |
15684 | Children's concepts include nonobvious features, like internal parts, functions and causes [Gelman] |
15681 | Essentialism: real or representational? sortal, causal or ideal? real particulars, or placeholders? [Gelman] |
15678 | Essentialism says categories have a true hidden nature which gives an object its identity [Gelman] |
15683 | Sortals are needed for determining essence - the thing must be categorised first [Gelman] |
15697 | Kind (unlike individual) essentialism assumes preexisting natural categories [Gelman] |
15687 | Kinship is essence that comes in degrees, and age groups are essences that change over time [Gelman] |
15679 | Essentialism comes from the cognitive need to categorise [Gelman] |
15698 | We found no evidence that mothers teach essentialism to their children [Gelman] |
15709 | Essentialism is useful for predictions, but it is not the actual structure of reality [Gelman] |
15696 | Peope favor historical paths over outward properties when determining what something is [Gelman] |
15707 | There is intentional, mechanical, teleological, essentialist, vitalist and deontological understanding [Gelman] |
15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
15703 | Memories often conform to a theory, rather than being neutral [Gelman] |
15708 | Inductive success is rewarded with more induction [Gelman] |
15694 | Children overestimate the power of a single example [Gelman] |
15695 | Children make errors in induction by focusing too much on categories [Gelman] |
15692 | People tend to be satisfied with shallow explanations [Gelman] |
15680 | Folk essentialism rests on belief in natural kinds, in hidden properties, and on words indicating structures [Gelman] |
15686 | Labels may indicate categories which embody an essence [Gelman] |
15690 | Causal properties are seen as more central to category concepts [Gelman] |
15688 | Categories are characterized by distance from a prototype [Gelman] |
15689 | Theory-based concepts use rich models to show which similarities really matter [Gelman] |
15699 | Prelinguistic infants acquire and use many categories [Gelman] |
15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
15693 | One sample of gold is enough, but one tree doesn't give the height of trees [Gelman] |
15701 | Nouns seem to invoke stable kinds more than predicates do [Gelman] |
15702 | Essentialism doesn't mean we know the essences [Gelman] |
15705 | Essentialism encourages us to think about the world scientifically [Gelman] |
15704 | Essentialism starts from richly structured categories, leading to a search for underlying properties [Gelman] |
15706 | A major objection to real essences is the essentialising of social categories like race, caste and occupation [Gelman] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |