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] |
17743 | De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki] |
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] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
13554 | True greatness is never allowing events to disturb you [Seneca] |
13556 | Every night I critically review how I have behaved during the day [Seneca] |
13552 | Anger is an extreme vice, threatening sanity, and gripping whole states [Seneca] |
13553 | Anger is a vice which afflicts good men as well as bad [Seneca] |