11 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
21697 | The Struthionic Fallacy is that of burying one's head in the sand [Quine] |
9188 | Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett] |
21698 | All relations, apart from ancestrals, can be reduced to simpler logic [Quine] |
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] |
21696 | Nominalism rejects both attributes and classes (where extensionalism accepts the classes) [Quine] |
3158 | Theories of intentionality presuppose rationality, so can't explain it [Dennett] |
3159 | Beliefs and desires aren't real; they are prediction techniques [Dennett] |