13 ideas
10051 | The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M] |
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] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
4581 | Virtues and vices are like secondary qualities in perception, found in observers, not objects [Hume] |
4580 | All virtues benefit either the public, or the individual who possesses them [Hume] |
4579 | The idea of a final cause is very uncertain and unphilosophical [Hume] |
20705 | That events could be uncaused is absurd; I only say intuition and demonstration don't show this [Hume] |