16 ideas
3269 | If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel] |
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] |
12741 | If experience is just a dream, it is still real enough if critical reason is never deceived [Leibniz] |
12740 | The strongest criterion that phenomena show reality is success in prediction [Leibniz] |
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] |
12721 | Light, heat and colour are apparent qualities, and so are motion, figure and extension [Leibniz] |
3270 | Justifications come to an end when we want them to [Nagel] |
3268 | If a small brief life is absurd, then so is a long and large one [Nagel] |