13 ideas
| 17990 | Instances of minimal truth miss out propositions inexpressible in current English [Hofweber] |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 17988 | Quantification can't all be substitutional; some reference is obviously to objects [Hofweber] |
| 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] |
| 17989 | Since properties have properties, there can be a typed or a type-free theory of them [Hofweber] |
| 17991 | Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |