12 ideas
12129 | 'Truth' may only apply within a theory [Kuhn] |
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] |
6809 | Kuhn came to accept that all scientists agree on a particular set of values [Kuhn, by Bird] |
12128 | In theory change, words shift their natural reference, so the theories are incommensurable [Kuhn] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
21097 | Modern monarchies are (like republics) rule by law, rather than by men [Hume] |