12 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
9188 | Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett] |
10620 | Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel] |
17883 | Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner] |
17885 | Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner] |
10614 | The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel] |
3102 | Why don't we experience or remember going to sleep at night? [Magee] |
9261 | The 'Ethics' is disappointing, because it fails to try to justify our duties [Prichard] |
9262 | The mistake is to think we can prove what can only be seen directly in moral thinking [Prichard] |
9260 | Virtues won't generate an obligation, so it isn't a basis for morality [Prichard] |
9259 | We feel obligations to overcome our own failings, and these are not relations to other people [Prichard] |
9258 | If pain were instrinsically wrong, it would be immoral to inflict it on ourselves [Prichard] |