16 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] |
9758 | To make sense of personal identity, focus on agency rather than experience [Korsgaard] |
9757 | A person viewed as an agent makes no sense without its own future [Korsgaard] |
9759 | Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard] |
4316 | Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham] |
9760 | Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard] |
9761 | Personal concern for one's own self widens out into concern for the impersonal [Korsgaard] |