12 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] |
| 8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
| 12739 | If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz] |
| 12738 | Successful prediction shows proficiency in nature [Leibniz] |
| 10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |