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Re: [HM] A "sociological" question about proof
Posted:
Feb 2, 2003 8:59 PM
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Dear Listmembers,
The question of changing standards of proof over time
is touched upon in many essays in Tymoczko's New Directions
in the Philosophy of Mathematics, revised edition, Princeton,
1998. Some are philosophical and some are historical,
the latter category including my own
"Is Mathematical Truth Time-Dependent" which focuses
on the changing standards of proof in analysis between
the 18th and 19th centuries. Abel's comments on the
lack of rigor in 18th-century arguments as compared
to the standards of Cauchy's Cours d'analyse are a case
in point.
This is a thought-provoking anthology.
Judith V. Grabiner
Flora Sanborn Pitzer Professor of Mathematics
Pitzer College (909) 607-3160
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