15 ideas
14779 | I reason in order to avoid disappointment and surprise [Peirce] |
14777 | That a judgement is true and that we judge it true are quite different things [Peirce] |
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] |
14780 | Only study logic if you think your own reasoning is deficient [Peirce] |
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] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
14778 | Facts are hard unmoved things, unaffected by what people may think of them [Peirce] |
14217 | The 'standard' view of relations is that they hold of several objects in a given order [Fine,K] |
14216 | The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K] |
14218 | A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K] |
14220 | Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K] |
14219 | Language imposes a direction on a road which is not really part of the road [Fine,K] |