17 ideas
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| 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] |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [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] |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| 15473 | How does anything get outside itself? [Fodor, by Martin,CB] |
| 2981 | Is intentionality outwardly folk psychology, inwardly mentalese? [Lyons on Fodor] |
| 2985 | Are beliefs brains states, but picked out at a "higher level"? [Lyons on Fodor] |
| 3135 | Is thought a syntactic computation using representations? [Fodor, by Rey] |
| 2983 | Maybe narrow content is physical, broad content less so [Lyons on Fodor] |