23 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] |
3570 | Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M] |
19527 | We don't acquire evidence and then derive some knowledge, because evidence IS knowledge [Williamson] |
19528 | Knowledge is prior to believing, just as doing is prior to trying to do [Williamson] |
19529 | Belief explains justification, and knowledge explains belief, so knowledge explains justification [Williamson] |
19530 | A neutral state of experience, between error and knowledge, is not basic; the successful state is basic [Williamson] |
19531 | Internalism about mind is an obsolete view, and knowledge-first epistemology develops externalism [Williamson] |
19536 | Knowledge-first says your total evidence IS your knowledge [Williamson] |
19526 | Surely I am acquainted with physical objects, not with appearances? [Williamson] |
2748 | A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J] |
19534 | How does inferentialism distinguish the patterns of inference that are essential to meaning? [Williamson] |
19535 | Internalist inferentialism has trouble explaining how meaning and reference relate [Williamson] |
19533 | Inferentialist semantics relies on internal inference relations, not on external references [Williamson] |
19532 | Truth-conditional referential semantics is externalist, referring to worldly items [Williamson] |