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Getting To The Truth

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Posted by Harvey on July 17, 2003 15:32:39 UTC


I'm sorry but I have no idea what you are talking about there. Can you be less elusive and more specific? For one thing, truth has nothing to do with meaning, I don't know why you brought meaning up. A statement can be true even if you don't know what it means.

I brought up meaning because you said: "Actually, the term 'true' has a very specific meaning in math." An undefined term can acquire meaning, it just can't be reduced (in mathematics) any further. This is why my response was in regards to how 'true' can have meaning in math and still remain an undefined term.

Harv: Axioms are statements that tell you under which certain conditions a mathematical statement is to be considered 'true'. Michael: But that's the whole point. You can't have truths without axioms, but the truths of math are no less true just because the axioms can't be proven true.

Right. But, what I said is that the term 'true' is never defined in mathematics. The conditions of truth are defined, and this is done in formal systems with axioms, rules of inference, etc. This is why I said that the term true "is simply an undefined term that is used under certain conditions".

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