25 ideas
21959 | Metaphysics is the most general attempt to make sense of things [Moore,AW] |
10702 | Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter] |
10713 | Usually the only reason given for accepting the empty set is convenience [Potter] |
13044 | Infinity: There is at least one limit level [Potter] |
10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
13546 | The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter] |
10707 | Mereology elides the distinction between the cards in a pack and the suits [Potter] |
10704 | We can formalize second-order formation rules, but not inference rules [Potter] |
10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
17882 | It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter] |
13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
13042 | If dependence is well-founded, with no infinite backward chains, this implies substances [Potter] |
13041 | Collections have fixed members, but fusions can be carved in innumerable ways [Potter] |
10709 | Priority is a modality, arising from collections and members [Potter] |
21958 | Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW] |
20298 | The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey] |
20300 | Externalist synonymy is there being a correct link to the same external phenomena [Rey] |
20294 | 'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey] |
20293 | Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey] |
20297 | Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey] |
20301 | The meaning properties of a term are those which explain how the term is typically used [Rey] |
20302 | An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey] |
20303 | Research throws doubts on the claimed intuitions which support analyticity [Rey] |
20299 | If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey] |