14 ideas
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| 15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
| 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] |
| 13672 | All the axioms for mathematics presuppose set theory [Neumann] |
| 22868 | The value and truth of knowledge are measured by success in activity [Dewey] |
| 22865 | Habits constitute the self [Dewey] |
| 22871 | The good people are those who improve; the bad are those who deteriorate [Dewey] |
| 22876 | Democracy is the development of human nature when it shares in the running of communal activities [Dewey] |
| 22875 | Democracy is not just a form of government; it is a mode of shared living [Dewey] |
| 22874 | Individuality is only developed within groups [Dewey] |