11 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] |
16641 | Whiteness does not exist, but by it something can exist-as-white [Aquinas] |
22170 | Senses grasp external properties, but the understanding grasps the essential natures of things [Aquinas] |
22169 | Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas] |
22168 | Minds take in a likeness of things, which activates an awaiting potential [Aquinas] |
5833 | Education is the greatest of human goods [Xenophon] |