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] |
| 22518 | The actual must be possible, because it occurred [Aristotle] |
| 10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
| 16566 | Poetry is more philosophic than history, as it concerns universals, not particulars [Aristotle] |
| 19407 | We want good education and sociability, rather than lots of moral precepts [Leibniz] |