81 ideas
18019 | People have dreams which involve category mistakes [Magidor] |
17998 | Category mistakes are either syntactic, semantic, or pragmatic [Magidor] |
18011 | Category mistakes seem to be universal across languages [Magidor] |
18012 | Category mistakes as syntactic needs a huge number of fine-grained rules [Magidor] |
18013 | Embedded (in 'he said that…') category mistakes show syntax isn't the problem [Magidor] |
18021 | Category mistakes are meaningful, because metaphors are meaningful category mistakes [Magidor] |
18015 | The normal compositional view makes category mistakes meaningful [Magidor] |
18017 | If a category mistake is synonymous across two languages, that implies it is meaningful [Magidor] |
18031 | If a category mistake has unimaginable truth-conditions, then it seems to be meaningless [Magidor] |
18016 | Two good sentences should combine to make a good sentence, but that might be absurd [Magidor] |
18030 | A good explanation of why category mistakes sound wrong is that they are meaningless [Magidor] |
18032 | Category mistakes are neither verifiable nor analytic, so verificationism says they are meaningless [Magidor] |
18034 | Category mistakes play no role in mental life, so conceptual role semantics makes them meaningless [Magidor] |
18037 | Maybe when you say 'two is green', the predicate somehow fails to apply? [Magidor] |
18039 | If category mistakes aren't syntax failure or meaningless, maybe they just lack a truth-value? [Magidor] |
18058 | Maybe the presuppositions of category mistakes are the abilities of things? [Magidor] |
18041 | Category mistakes suffer from pragmatic presupposition failure (which is not mere triviality) [Magidor] |
18056 | Category mistakes because of presuppositions still have a truth value (usually 'false') [Magidor] |
18055 | In 'two is green', 'green' has a presupposition of being coloured [Magidor] |
18057 | 'Numbers are coloured and the number two is green' seems to be acceptable [Magidor] |
18059 | The presuppositions in category mistakes reveal nothing about ontology [Magidor] |
15716 | If axioms and their implications have no contradictions, they pass my criterion of truth and existence [Hilbert] |
18040 | Intensional logic maps logical space, showing which predicates are compatible or incompatible [Magidor] |
18844 | You would cripple mathematics if you denied Excluded Middle [Hilbert] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [Hilbert] |
12455 | The idea of an infinite totality is an illusion [Hilbert] |
12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
17997 | Some suggest that the Julius Caesar problem involves category mistakes [Magidor] |
17697 | The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert] |
17698 | Logic already contains some arithmetic, so the two must be developed together [Hilbert] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
22293 | Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
18060 | We can explain the statue/clay problem by a category mistake with a false premise [Magidor] |
12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
18020 | Propositional attitudes relate agents to either propositions, or meanings, or sentence/utterances [Magidor] |
18035 | Two sentences with different meanings can, on occasion, have the same content [Magidor] |
18018 | To grasp 'two' and 'green', must you know that two is not green? [Magidor] |
18008 | Generative semantics says structure is determined by semantics as well as syntactic rules [Magidor] |
18010 | 'John is easy to please' and 'John is eager to please' have different deep structure [Magidor] |
18053 | The semantics of a sentence is its potential for changing a context [Magidor] |
18000 | Weaker compositionality says meaningful well-formed sentences get the meaning from the parts [Magidor] |
17999 | Strong compositionality says meaningful expressions syntactically well-formed are meaningful [Magidor] |
18014 | Understanding unlimited numbers of sentences suggests that meaning is compositional [Magidor] |
18001 | Are there partial propositions, lacking truth value in some possible worlds? [Magidor] |
18036 | A sentence can be meaningful, and yet lack a truth value [Magidor] |
18051 | In the pragmatic approach, presuppositions are assumed in a context, for successful assertion [Magidor] |
18043 | The infelicitiousness of trivial truth is explained by uninformativeness, or a static context-set [Magidor] |
18042 | The infelicitiousness of trivial falsity is explained by expectations, or the loss of a context-set [Magidor] |
18047 | A presupposition is what makes an utterance sound wrong if it is not assumed? [Magidor] |
18048 | A test for presupposition would be if it provoked 'hey wait a minute - I have no idea that....' [Magidor] |
18049 | The best tests for presupposition are projecting it to negation, conditional, conjunction, questions [Magidor] |
18050 | If both s and not-s entail a sentence p, then p is a presupposition [Magidor] |
18054 | Why do certain words trigger presuppositions? [Magidor] |
18024 | One theory says metaphors mean the same as the corresponding simile [Magidor] |
18023 | Theories of metaphor divide over whether they must have literal meanings [Magidor] |
18025 | The simile view of metaphors removes their magic, and won't explain why we use them [Magidor] |
18026 | Maybe a metaphor is just a substitute for what is intended literally, like 'icy' for 'unemotional' [Magidor] |
18028 | Gricean theories of metaphor involve conversational implicatures based on literal meanings [Magidor] |
18029 | Non-cognitivist views of metaphor says there are no metaphorical meanings, just effects of the literal [Magidor] |
18022 | Metaphors tend to involve category mistakes, by joining disjoint domains [Magidor] |
18027 | Metaphors as substitutes for the literal misses one predicate varying with context [Magidor] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |