21 ideas
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] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
12446 | Names function the same way, even if there is no object [Azzouni] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
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] |
12450 | The periodic table not only defines the elements, but also excludes other possible elements [Azzouni] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |