20 ideas
18696 | The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button] |
18701 | The coherence theory says truth is coherence of thoughts, and not about objects [Button] |
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] |
18694 | Permutation Theorem: any theory with a decent model has lots of models [Button] |
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] |
18692 | Realists believe in independent objects, correspondence, and fallibility of all theories [Button] |
18693 | Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button] |
18695 | An ideal theory can't be wholly false, because its consistency implies a true model [Button] |
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] |
18700 | Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button] |
18698 | Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button] |
18697 | A sentence's truth conditions are all the situations where it would be true [Button] |
14014 | Space alone, and time alone, will fade away, and only their union has an independent reality [Minkowski] |