12 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] |
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] |
13165 | Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus] |
9569 | The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus] |
5122 | Maybe consequentialism is a critique of ordinary morality, rather than describing it [Harman] |
5123 | Maybe there is no such thing as character, and the virtues and vices said to accompany it [Harman] |
5124 | If a person's two acts of timidity have different explanations, they are not one character trait [Harman] |
5125 | Virtue ethics might involve judgements about the virtues of actions, rather than character [Harman] |