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] |
12741 | If experience is just a dream, it is still real enough if critical reason is never deceived [Leibniz] |
12740 | The strongest criterion that phenomena show reality is success in prediction [Leibniz] |
12721 | Light, heat and colour are apparent qualities, and so are motion, figure and extension [Leibniz] |
1863 | If the soul achieves well-being in another life, it doesn't follow that I do [Aquinas] |