In article .com,
Mathematics Lover wrote:
Physics and biology are sciences because they put theories up to
falsifiable tests.
But most of the esoteric math theorems in abstract set, algebra,
geometry, and field
theory have not been tested. Moreover, they cannot be tested. Thus,
they cannot be
scientifically verified or falsified.
You seem confused. The role of conjectures put up to falsifiable tests
are the Hypothesis. Theorems play the role of verified theories. The
standards of evidence in mathematics are different from those in
physics and biology; but then, the standards of physics are different
from those in biology as well. The difference is quantitative, not
qualitative.
I wrote an essay a year and a bit ago on this subject for a friend's
blog. If you are not a troll, or if anybody is interested, you can see
it at
http://andrewlias.blogspot.com/2004_...007393787 004
--
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"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes")
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Arturo Magidin