[FOM] Are proofs in mathematics based on sufficient evidence?
joeshipman@aol.com
joeshipman at aol.com
Thu Jul 15 21:36:19 EDT 2010
Although Euclid's conceptual world is somewhat alien to modern
mathematicians, that of Archimedes is instantly recognizable as what we
would call "rigorous mathematics". Of all the ancient mathematical
writers, Archimedes is the one who speaks most directly to modern
mathematicians, and his standards of rigor, professionalism,
motivation, applicability, and presentation leave nothing to be
desired. -- JS
-----Original Message-----
From: Michael Barany <michael.barany at tellurideassociation.org>
Monroe,
The paper that introduced me to this kind of historiography was a
somewhat obscure one by Jens Hoyrup called "The formation of a myth:
Greek mathematics---our mathematics" from a bilingual volume from 1996
titled L'Europe mathematique / Mathematical Europe. Catarina's
recommendation of Netz's volume is a good one,... it doesn't really
talk about how Greek geometry (and deduction in general) has been
rendered by Europeans, but it reconstructs a version of what might
count as its "original meaning" which appears quite alien to anyone
with a conventional present-day view of Euclid.
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