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] |
15785 | Our commitments are to an 'ontology', but also to an 'ideology', or conceptual system [Hintikka] |
15786 | Commitment to possible worlds is part of our ideology, not part of our ontology [Hintikka] |
3570 | Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M] |
2748 | A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |