In a message dated 3/26/2006 1:10:27 AM Eastern Standard Time,
jarmstro@qwest.net writes:
1. I think it may said that mathematics evolves. New techniques and tools
emergy, conjectures are proven or disproven, philosophical insight development
continues. So the discipline is evolving. Perhaps there is an underlying
God-view mathematics that is complete and not subject to change, but that is not
mathematics as we know it.
Hi, Jim.
I do agree with this. That's what I meant when I said that the "body" of
mathematics does evolve. But mathematicians of all ages and stripes share in a
common logical ability that allows us to discuss math with each other. We can
all understand the axioms invented by each other. We couldn't do this if
there weren't a common, fundamental, unevolving essence of logic in reality.
Consider this syllogism as an example:
All A are in B
All B are in C
Therefore all A are in C
Does the logic of that syllogism evolve, or does it stay the same?
That's what I was talking about.
God bless!
Phil
Received on Sun Mar 26 01:50:20 2006
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