14 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] |
23633 | Many truths seem obvious, and point to universal agreement - which is what we find [Reid] |
23630 | Only philosophers treat ideas as objects [Reid] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
23629 | The ambiguity of words impedes the advancement of knowledge [Reid] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
23632 | Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |