15 ideas
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] |
17896 | We need to know the meaning of 'and', prior to its role in reasoning [Prior,AN, by Belnap] |
17898 | Prior's 'tonk' is inconsistent, since it allows the non-conservative inference A |- B [Belnap on Prior,AN] |
11021 | Prior rejected accounts of logical connectives by inference pattern, with 'tonk' his absurd example [Prior,AN, by Read] |
13836 | Maybe introducing or defining logical connectives by rules of inference leads to absurdity [Prior,AN, by Hacking] |
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] |
16065 | Constitution is identity (being in the same place), or it isn't (having different possibilities) [Wasserman] |
16067 | Constitution is not identity, because it is an asymmetric dependence relation [Wasserman] |
16069 | There are three main objections to seeing constitution as different from identity [Wasserman] |
16068 | The weight of a wall is not the weight of its parts, since that would involve double-counting [Wasserman] |
16074 | Relative identity may reject transitivity, but that suggests that it isn't about 'identity' [Wasserman] |