10 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] |
13190 | I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz] |
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] |
16639 | Only individual bodies exist [Bacon] |
16033 | There are only individual bodies containing law-based powers, and the Forms are these laws [Bacon] |
21950 | Science must clear away the idols of the mind if they are ever going to find the truth [Bacon] |