14 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| 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] |
| 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] |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
| 8404 | Explain single events by general rules, or vice versa, or probability explains both, or they are unconnected [Field,H] |
| 8401 | Physical laws are largely time-symmetric, so they make a poor basis for directional causation [Field,H] |
| 8400 | Identifying cause and effect is not just conventional; we explain later events by earlier ones [Field,H] |
| 8402 | The only reason for adding the notion of 'cause' to fundamental physics is directionality [Field,H] |