13 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] |
22200 | If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
23569 | The only just cause for a war is a wrong received [Vitoria] |
23601 | Leaders can only attack foreigners who have done wrong (as with their own subjects) [Vitoria] |
23566 | Princes should not justify a war to their subjects, and doing so would undermine the state [Vitoria] |
23576 | Sacking a city is lawful if it motivates the attacking troops [Vitoria] |