11 ideas
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] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
6027 | From the fact that some men die, we cannot infer that they all do [Philodemus] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
7667 | There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin] |
22241 | Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus] |