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] |
13095 | Essence is primitive force, or a law of change [Leibniz] |
21386 | We should accept as explanations all the plausible ways in which something could come about [Epicurus] |
2117 | The connection in events enables us to successfully predict the future, so there must be a constant cause [Leibniz] |
14051 | A cosmos is a collection of stars and an earth, with some sort of boundary, movement and shape [Epicurus] |
1828 | God does not intervene in heavenly movements, but is beyond all action and perfectly happy [Epicurus] |