12 ideas
| 21239 | Philosophers are marked by a joint love of evidence and ambiguity [Merleau-Ponty] |
| 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] |
| 21862 | Consciousness is based on 'I can', not on 'I think' [Merleau-Ponty] |
| 20750 | The mind does not unite perceptions, because they flow into one another [Merleau-Ponty] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |