On 8/2/2010 1:39 AM, Quentin Anciaux wrote:
Meaning of words can change and do change. Meaning of english words
are dependant of humans. Meaning of mathematical thruths aren't.
Mathematical truths don't have meaning.
Mathematical truth are independent of humans, life and the
universe and the rest, it's nonsense if it's otherwise.
What's "it's" in the above sentence?
It's, is the fact that mathematical truths are independent of humans.
Ah. The point in question is asserted.
No, it's about the meaning. If mathematical truth are dependant on
humans they mean utlimately nothing at all. So it's nonsensical.
Truth is property of sentences. In mathematics it's just a token T you
attach to some sentences (the axioms) and then applying some rules of
inference that are assumed to preserve T you see which other sentences
get T. It is nonsense, in the sense that pure mathematics is not about
anything. It is useful for creating models of things because it
guarantees that the model will not be inconsistent, i.e. lead to the
inference of every statement. Mathematics attains certainty by giving
"In mathematics we never know what we are talking about or whether what
we say is true or false."
--- Bertrand Russell
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