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I - Proof and How it is Changing

Edited by
Bonnie Gold  and
Roger A. Simons
Bonnie Gold
Affiliation:
Monmouth University
Roger A. Simons
Affiliation:
Rhode Island College
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Summary

Proof has been an essential part of mathematics since the time of the ancient Greeks. Its centrality has engendered much controversy. What is the role of proof in mathematics? What makes for an adequate proof?

The recent use of computers in developing mathematical conjectures, and in checking cases when there are too many for humans to check in a reasonable amount of time, has led to questions about the role and importance of proof in mathematics, as well as what qualifies as a proof. The chapters in this section give three different views of these and other issues regarding relationships among proof, mathematics, and computers.

Type
Chapter
Information
Proof and Other Dilemmas
Mathematics and Philosophy
 , pp. 1 - 2
Publisher: Mathematical Association of America
Print publication year: 2008

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