17 ideas
23449 | Interpreting a text is representing it as making sense [Morris,M] |
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] |
23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
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] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
20660 | At one level maths and nature are very similar, suggesting some deeper origin [Wolfram] |
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] |
23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |
20659 | Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram] |