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] |
19480 | Process philosophy places the dynamic nature of being at the centre of our theories [Seibt] |
19479 | Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt] |
19481 | Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt] |
12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |