16 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] |
| 20475 | Maybe modal sentences cannot be true or false [Casullo] |
| 20476 | If the necessary is a priori, so is the contingent, because the same evidence is involved [Casullo] |
| 20471 | Epistemic a priori conditions concern either the source, defeasibility or strength [Casullo] |
| 20477 | The main claim of defenders of the a priori is that some justifications are non-experiential [Casullo] |
| 20472 | Analysis of the a priori by necessity or analyticity addresses the proposition, not the justification [Casullo] |
| 23304 | The ancient Memorists said virtually all types of thinking could be done simply by memory [Sorabji] |
| 23303 | Stoics say true memory needs reflection and assent, but animals only have perceptual recognition [Sorabji] |
| 20474 | 'Overriding' defeaters rule it out, and 'undermining' defeaters weaken in [Casullo] |