14 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] |
18946 | Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer] |
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] |
11993 | Jones may cease to exist without some simple property, but that doesn't make it essential [Kung] |
11997 | A property may belong essentially to one thing and contingently to another [Kung] |
11992 | Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung] |
11995 | Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung] |
11996 | Some non-essential properties may explain more than essential-but-peripheral ones do [Kung] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |