13 ideas
10528 | Definitions concern how we should speak, not how things are [Fine,K] |
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] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |