12 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
23295 | Truth cannot be reduced to anything simpler [Davidson] |
23298 | Neither Aristotle nor Tarski introduce the facts needed for a correspondence theory [Davidson] |
23297 | The language to define truth needs a finite vocabulary, to make the definition finite [Davidson] |
23296 | We can elucidate indefinable truth, but showing its relation to other concepts [Davidson] |
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] |
23294 | It is common to doubt truth when discussing it, but totally accept it when discussing knowledge [Davidson] |
4316 | Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham] |