14 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] |
| 21315 | A tree remains the same in the popular sense, but not in the strict philosophical sense [Butler] |
| 3597 | Foundations need not precede other beliefs [Wittgenstein] |
| 3596 | Total doubt can't even get started [Wittgenstein, by Williams,M] |
| 21317 | Despite consciousness fluctuating, we are aware that it belongs to one person [Butler] |
| 21313 | If consciousness of events makes our identity, then if we have forgotten them we didn't exist then [Butler] |
| 21314 | Consciousness presupposes personal identity, so it cannot constitute it [Butler] |
| 21318 | If the self changes, we have no responsibilities, and no interest in past or future [Butler] |
| 4721 | If you are not certain of any fact, you cannot be certain of the meaning of your words either [Wittgenstein] |