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] |
13795 | Properties only have identity in the context of their contraries [Elder] |
13798 | Maybe we should give up the statue [Elder] |
13797 | The loss of an essential property means the end of an existence [Elder] |
13794 | Essential properties by nature occur in clusters or packages [Elder] |
13796 | Essential properties are bound together, and would be lost together [Elder] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |