15 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] |
| 22014 | Consciousness is not entirely representational, because there are pains, and the self [Schulze, by Pinkard] |
| 17771 | How we evaluate evidence depends on our background beliefs [Bayne] |
| 17770 | Clifford's dictum seems to block our beliefs in morality, politics and philosophy [Bayne] |
| 17766 | Physicalism correlates brain and mind, explains causation by thought, and makes nature continuous [Bayne] |
| 17768 | Perception reveals what animals think, but humans can disengage thought from perception [Bayne] |
| 17769 | Some people centre space on themselves; others centre space on the earth [Bayne] |
| 17767 | The alternative to a language of thought is map-like or diagram-like thought [Bayne] |