10 ideas
22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
19404 | Necessities rest on contradiction, and contingencies on sufficient reason [Leibniz] |
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] |
19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |
19403 | Each of the infinite possible worlds has its own laws, and the individuals contain those laws [Leibniz] |