19 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] |
13931 | By using aporiai as his start, Aristotle can defer to the wise, as well as to the many [Haslanger] |
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] |
13925 | Ontology disputes rest on more basic explanation disputes [Haslanger] |
14296 | Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine] |
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] |
13924 | The persistence of objects seems to be needed if the past is to explain the present [Haslanger] |
13930 | Persistence makes change and its products intelligible [Haslanger] |
13927 | We must explain change amongst 'momentary entities', or else the world is inexplicable [Haslanger] |
13928 | If the things which exist prior to now are totally distinct, they need not have existed [Haslanger] |
13929 | Natural explanations give the causal interconnections [Haslanger] |
13926 | Best explanations, especially natural ones, need grounding, notably by persistent objects [Haslanger] |