13 ideas
| 9184 | We can't presume that all interesting concepts can be analysed [Williamson] |
| 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] |
| 9183 | Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson] |
| 21275 | Unlike a stone, the parts of a watch are obviously assembled in order to show the time [Paley] |
| 21276 | From the obvious purpose and structure of a watch we must infer that it was designed [Paley] |
| 21277 | Even an imperfect machine can exhibit obvious design [Paley] |
| 21278 | All the signs of design found in a watch are also found in nature [Paley] |
| 21357 | No organ shows purpose more obviously than the eyelid [Paley] |