15 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] |
21566 | 'Propositional functions' are ambiguous until the variable is given a value [Russell] |
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] |
21567 | 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
23457 | Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell] |
21556 | Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
21568 | A one-variable function is only 'predicative' if it is one order above its arguments [Russell] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |