12 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] |
| 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] |
| 8203 | All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine] |
| 10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
| 10063 | Formalism is a bulwark of logical positivism [Musgrave] |
| 18265 | We don't judge by combining subject and concept; we get a concept by splitting up a judgement [Frege] |
| 10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
| 8202 | Meaning is essence divorced from things and wedded to words [Quine] |
| 8201 | The distinction between meaning and further information is as vague as the essence/accident distinction [Quine] |