The traditional debate among philosophers of mathematics is
whether there is an external mathematical reality, something out
there to be discovered, or whether mathematics is the product of
the human mind. This provocative book, now available in a revised
and expanded paperback edition, goes beyond foundationalist
questions to offer what has been called a "postmodern" assessment
of the philosophy of mathematics--one that addresses issues of
theoretical importance in terms of mathematical experience. By
bringing together essays of leading philosophers, mathematicians,
logicians, and computer scientists, Thomas Tymoczko reveals an
evolving effort to account for the nature of mathematics in
relation to other human activities. These accounts include such
topics as the history of mathematics as a field of study,
predictions about how computers will influence the future
organization of mathematics, and what processes a proof undergoes
before it reaches publishable form.
This expanded edition now contains essays by Penelope Maddy,
Michael D. Resnik, and William P. Thurston that address the nature
of mathematical proofs. The editor has provided a new afterword and
a supplemental bibliography of recent work.
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