9 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] |
8840 | There are five possible responses to the problem of infinite regress in justification [Cleve] |
8841 | Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve] |
4921 | Quantum states in microtubules could bind brain activity to produce consciousness [Penrose] |