14 ideas
| 21959 | Metaphysics is the most general attempt to make sense of things [Moore,AW] |
| 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] |
| 21958 | Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW] |
| 22692 | A work can be morally and artistically excellent, despite rejecting moral truth [John,E] |
| 22693 | The works we value most are in sympathy with our own moral views [John,E] |
| 22694 | We should understand what is morally important in a story, without having to endorse it [John,E] |
| 22695 | We value morality in art because that is what we care about - but it is a contingent fact [John,E] |