16 ideas
| 8138 | Beware lest any man spoil you through philosophy [Paul] |
| 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] |
| 21339 | We want the ontology of relations, not just a formal way of specifying them [Heil] |
| 21349 | Two people are indirectly related by height; the direct relation is internal, between properties [Heil] |
| 21340 | Maybe all the other features of the world can be reduced to relations [Heil] |
| 21348 | In the case of 5 and 6, their relational truthmaker is just the numbers [Heil] |
| 21351 | Truthmaking is a clear example of an internal relation [Heil] |
| 21344 | If R internally relates a and b, and you have a and b, you thereby have R [Heil] |
| 21350 | If properties are powers, then causal relations are internal relations [Heil] |
| 10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |