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] |
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] |
13095 | Essence is primitive force, or a law of change [Leibniz] |
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] |
2117 | The connection in events enables us to successfully predict the future, so there must be a constant cause [Leibniz] |