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] |
18253 | I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
18166 | The loss of my Rule V seems to make foundations for arithmetic impossible [Frege] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
18269 | Logical objects are extensions of concepts, or ranges of values of functions [Frege] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |