17 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] |
11970 | Logicians like their entities to exhibit a maximum degree of purity [Kaplan] |
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] |
11969 | Models nicely separate particulars from their clothing, and logicians often accept that metaphysically [Kaplan] |
11971 | The simplest solution to transworld identification is to adopt bare particulars [Kaplan] |
11972 | Essence is a transworld heir line, rather than a collection of properties [Kaplan] |
11973 | Unusual people may have no counterparts, or several [Kaplan] |
11967 | Sentences might have the same sense when logically equivalent - or never have the same sense [Kaplan] |
20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |