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] |
22309 | An idea can only be like another idea [Berkeley] |
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] |
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] |
6717 | Abstract ideas are impossible [Berkeley] |
18876 | Berkeley does believe in trees, but is confused about what trees are [Berkeley, by Cameron] |
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] |
6715 | Universals do not have single meaning, but attach to many different particulars [Berkeley] |
6719 | No one will think of abstractions if they only have particular ideas [Berkeley] |
6714 | Universals do not have any intrinsic properties, but only relations to particulars [Berkeley] |
6729 | Material substance is just general existence which can have properties [Berkeley] |
16636 | A die has no distinct subject, but is merely a name for its modes or accidents [Berkeley] |
15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
6722 | Perception is existence for my table, but also possible perception, by me or a spirit [Berkeley] |
6724 | The only substance is spirit, or that which perceives [Berkeley] |
6723 | The 'esse' of objects is 'percipi', and they can only exist in minds [Berkeley] |
6732 | When I shut my eyes, the things I saw may still exist, but in another mind [Berkeley] |
6726 | No one can, by abstraction, conceive extension and motion of bodies without sensible qualities [Berkeley] |
6728 | Motion is in the mind, since swifter ideas produce an appearance of slower motion [Berkeley] |
6727 | Figure and extension seem just as dependent on the observer as heat and cold [Berkeley] |
6495 | Berkeley's idealism resulted from fear of scepticism in representative realism [Robinson,H on Berkeley] |
6720 | Knowledge is of ideas from senses, or ideas of the mind, or operations on sensations [Berkeley] |
23636 | Berkeley's idealism gives no grounds for believing in other minds [Reid on Berkeley] |
6736 | I know other minds by ideas which are referred by me to other agents, as their effects [Berkeley] |
6713 | If animals have ideas, and are not machines, they must have some reason [Berkeley] |
6491 | Berkeley replaced intentionality with an anti-abstractionist imagist theory of thought [Berkeley, by Robinson,H] |
6711 | The mind creates abstract ideas by considering qualities separated from their objects [Berkeley] |
10581 | I can only combine particulars in imagination; I can't create 'abstract' ideas [Berkeley] |
6721 | Ideas are perceived by the mind, soul or self [Berkeley] |
6716 | Language is presumably for communication, and names stand for ideas [Berkeley] |
15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
6718 | I can't really go wrong if I stick to wordless thought [Berkeley] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
6731 | No one can explain how matter affects mind, so matter is redundant in philosophy [Berkeley] |
6730 | We discover natural behaviour by observing settled laws of nature, not necessary connections [Berkeley] |
15861 | The laws of nature are mental regularities which we learn by experience [Berkeley] |
6734 | If properties and qualities arise from an inward essence, we will remain ignorant of nature [Berkeley] |
6735 | All motion is relative, so a single body cannot move [Berkeley] |
6733 | I cannot imagine time apart from the flow of ideas in my mind [Berkeley] |
6737 | Particular evils are really good when linked to the whole system of beings [Berkeley] |