76 ideas
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
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] |
18040 | Intensional logic maps logical space, showing which predicates are compatible or incompatible [Magidor] |
17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
17832 | Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
13028 | Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
17626 | The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
15897 | Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine] |
17997 | Some suggest that the Julius Caesar problem involves category mistakes [Magidor] |
18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
18060 | We can explain the statue/clay problem by a category mistake with a false premise [Magidor] |
18020 | Propositional attitudes relate agents to either propositions, or meanings, or sentence/utterances [Magidor] |
17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
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] |