18 ideas
10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
20064 | Actions are not mere effects of reasons, but are under their control [Audi,R] |
6968 | Some people think there are ethical facts, but of a 'queer' sort [Ayer] |
6972 | A right attitude is just an attitude one is prepared to stand by [Ayer] |
6973 | Moral theories are all meta-ethical, and are neutral as regards actual conduct [Ayer] |
6974 | Moral judgements cannot be the logical consequence of a moral philosophy [Ayer] |
6971 | I would describe intuitions of good as feelings of approval [Ayer] |
6969 | Approval of historical or fictional murders gives us leave to imitate them [Ayer] |
6970 | Moral judgements are not expressions, but are elements in a behaviour pattern [Ayer] |