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Posted by Harvey on July 17, 2003 14:15:30 UTC

Hi Michael,

Actually, the term 'true' has a very specific meaning in math.

I didn't say that the term 'true' had no mathematical meaning. Meaning is possible by distinguishing true results from false results (i.e., in two-value logic), by following rules of inference that lead to only true results, etc. This is not a definition per se. A definition is a reduction, but you cannot reduce the word 'true' in mathematics. The reason is that any reduction would entail use of axioms (etc) that are considered 'true'.

It's far from being undefined and it's not "used under certain conditions".

Let me give an example. Axioms are statements that tell you under which certain conditions a mathematical statement is to be considered 'true'.

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