14 ideas
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
| 18779 | 'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague] |
| 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] |
| 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] |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| 18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
| 18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
| 18266 | Mathematics generalises by using variables [Coffa] |
| 18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |