11 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
4037 | Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver] |
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] |
4027 | Properties are respects in which particular objects may be alike or differ [Mellor/Oliver] |
4029 | Nominalists ask why we should postulate properties at all [Mellor/Oliver] |
4039 | Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver] |
7496 | Rules and duties are based on the will, as that is all we control [Montaigne] |