12 ideas
3269 | If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel] |
10061 | The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave] |
10065 | Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
490 | Everything happens by reason and necessity [Leucippus] |
3270 | Justifications come to an end when we want them to [Nagel] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
3268 | If a small brief life is absurd, then so is a long and large one [Nagel] |