New Directions in the Philosophy of Mathematics

New Directions in the Philosophy of Mathematics pdf epub mobi txt 电子书 下载 2025

出版者:Princeton University Press
作者:Tymoczko, Thomas 编
出品人:
页数:456
译者:
出版时间:1998-01-12
价格:USD 52.00
装帧:Paperback
isbn号码:9780691034980
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  • 数学 
  • Math 
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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 ??i??postmodern??i??i??' 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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