29 ideas
5331 | You can't infer that because you have a hidden birth-mark, everybody else does [Ayer] |
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] |
2611 | It is currently held that quantifying over something implies belief in its existence [Ayer] |
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] |
16520 | We see properties necessary for a kind (in the definition), but not for an individual [Ayer] |
10709 | Priority is a modality, arising from collections and members [Potter] |
2613 | The theory of other minds has no rival [Ayer] |
5328 | Originally I combined a mentalistic view of introspection with a behaviouristic view of other minds [Ayer] |
5330 | Physicalism undercuts the other mind problem, by equating experience with 'public' brain events [Ayer] |
5326 | Qualia must be united by a subject, because they lead to concepts and judgements [Ayer] |
5325 | Is something an 'experience' because it relates to other experiences, or because it relates to a subject? [Ayer] |
5324 | Bodily identity and memory work together to establish personal identity [Ayer] |
5322 | Self-consciousness is not basic, because experiences are not instrinsically marked with ownership [Ayer] |
5327 | Temporal gaps in the consciousness of a spirit could not be bridged by memories [Ayer] |
5329 | Why shouldn't we say brain depends on mind? Better explanation! [Ayer] |
2610 | Talk of propositions is just shorthand for talking about equivalent sentences [Ayer] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |