10 ideas
| 21552 | Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell] |
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| 21551 | Empirical words need ostensive definition, which makes them egocentric [Russell] |
| 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] |
| 3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
| 21550 | Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell] |