16 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] |
490 | Everything happens by reason and necessity [Leucippus] |
20180 | A happy and joyous life must largely be a quiet life [Russell] |
20177 | Boredom always involves not being fully occupied [Russell] |
20179 | Happiness involves enduring boredom, and the young should be taught this [Russell] |
20176 | Boredom is an increasingly strong motivating power [Russell] |
20178 | Life is now more interesting, but boredom is more frightening [Russell] |