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] |
| 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] |
| 14596 | Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr] |
| 14597 | Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr] |
| 14598 | Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr] |
| 10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |