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] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
20420 | The emotion expressed is non-conscious, but feels oppressive until expression relieves it [Collingwood] |
20421 | Art exists ideally, purely as experiences in the mind of the perceiver [Collingwood, by Kemp] |
20406 | Art clarifies the artist's mind and feelings, thus leading to self-knowledge [Collingwood, by Davies,S] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |