21 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] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
8388 | Causation is either direct realism, Humean reduction, non-Humean reduction or theoretical realism [Tooley] |
8389 | Causation distinctions: reductionism/realism; Humean/non-Humean states; observable/non-observable [Tooley] |
8393 | We can only reduce the direction of causation to the direction of time if we are realist about the latter [Tooley] |
8390 | Causation is directly observable in pressure on one's body, and in willed action [Tooley] |
8392 | Probabilist laws are compatible with effects always or never happening [Tooley] |
8399 | The actual cause may not be the most efficacious one [Tooley] |
8391 | In counterfactual worlds there are laws with no instances, so laws aren't supervenient on actuality [Tooley] |
8394 | Explaining causation in terms of laws can't explain the direction of causation [Tooley] |
8398 | Causation is a concept of a relation the same in all worlds, so it can't be a physical process [Tooley] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |