10 ideas
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] |
22076 | Being is only perceptible to itself as becoming [Schelling] |
22074 | We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling] |
22075 | Only idealism has given us the genuine concept of freedom [Schelling] |
19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |