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] |
10801 | Either reference really matters, or we don't need to replace it with substitutions [Quine] |
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] |
21236 | Instead of gravitational force, we now have a pervasive gravitational field [Farmelo] |
21235 | The Schrödinger waves are just the maths of transforming energy values to positions [Farmelo] |
21234 | Experiments show that fundamental particles of one type are identical [Farmelo] |