14 ideas
23449 | Interpreting a text is representing it as making sense [Morris,M] |
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] |
23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
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] |
17555 | 'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas] |
23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |