14 ideas
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 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] |
| 13795 | Properties only have identity in the context of their contraries [Elder] |
| 13798 | Maybe we should give up the statue [Elder] |
| 13797 | The loss of an essential property means the end of an existence [Elder] |
| 13794 | Essential properties by nature occur in clusters or packages [Elder] |
| 13796 | Essential properties are bound together, and would be lost together [Elder] |
| 19699 | A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington] |