23 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
12442 | 'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni] |
12439 | Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni] |
12437 | Truth lets us assent to sentences we can't explicitly exhibit [Azzouni] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
12446 | Names function the same way, even if there is no object [Azzouni] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
12447 | That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni] |
12445 | If fictional objects really don't exist, then they aren't abstract objects [Azzouni] |
12449 | Modern metaphysics often derives ontology from the logical forms of sentences [Azzouni] |
12440 | If objectual quantifiers ontologically commit, so does the metalanguage for its semantics [Azzouni] |
12438 | In the vernacular there is no unequivocal ontological commitment [Azzouni] |
12441 | We only get ontology from semantics if we have already smuggled it in [Azzouni] |
12448 | Things that don't exist don't have any properties [Azzouni] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
12450 | The periodic table not only defines the elements, but also excludes other possible elements [Azzouni] |