13 ideas
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| 15527 | Defining terms either enables elimination, or shows that they don't require elimination [Lewis] |
| 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] |
| 15530 | A logically determinate name names the same thing in every possible world [Lewis] |
| 15531 | The Ramsey sentence of a theory says that it has at least one realisation [Lewis] |
| 15528 | A Ramsey sentence just asserts that a theory can be realised, without saying by what [Lewis] |
| 15526 | There is a method for defining new scientific terms just using the terms we already understand [Lewis] |
| 15529 | It is better to have one realisation of a theory than many - but it may not always be possible [Lewis] |
| 4316 | Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham] |