18 ideas
6806 | Do not multiply entities beyond necessity [William of Ockham] |
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] |
22132 | Species and genera are individual concepts which naturally signify many individuals [William of Ockham] |
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] |
14365 | Scientific understanding is always the grasping of a correct explanation [Strevens] |
14368 | We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens] |
14369 | Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens] |
19381 | The past has ceased to exist, and the future does not yet exist, so time does not exist [William of Ockham] |
8010 | William of Ockham is the main spokesman for God's commands being the source of morality [William of Ockham] |
16679 | Even an angel must have some location [William of Ockham, by Pasnau] |