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] |
| 10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
| 10063 | Formalism is a bulwark of logical positivism [Musgrave] |
| 3644 | Two things being joined together doesn't prove they are the same [Descartes] |
| 3621 | Only judgement decides which of our senses are reliable [Descartes] |
| 19392 | I don't recommend universal doubt; we constantly seek reasons for things which are indubitable [Leibniz] |
| 10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
| 3637 | Ideas in God's mind only have value if he makes it so [Descartes] |