10 ideas
13099 | Analysing right down to primitive concepts seems beyond our powers [Leibniz] |
5022 | We hold a proposition true if we are ready to follow it, and can't see any objections [Leibniz] |
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] |
22329 | Logic is highly general truths abstracted from reality [Russell, by Glock] |
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] |
21569 | It is good to generalise truths as much as possible [Russell] |