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Author Byers, William, 1943-

Title How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers.

Publication Info. Princeton : Princeton University Press, [2007]
©2007

Copies

Location Call No. Status
 Simsbury Public Library - Non Fiction  510.92 BYERS    DUE 05-18-24
Description vii, 415 pages : illustrations ; 24 cm
Bibliography Includes bibliographical references (pages 399-405) and index.
Contents Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- ch. 1. Ambiguity in mathematics -- ch. 2. The contradictory in mathematics -- ch. 3. Paradoxes and mathematics : infinity and the real numbers -- ch. 4. More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- ch. 5. The idea as an organizing principle -- ch. 6. Ideas, logic, and paradox -- ch. 7. Great ideas -- Section 3 : The light and the eye of the beholder -- ch. 8. The truth of mathematics -- ch. 9. Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index.
Subject Mathematicians -- Psychology.
Mathematics -- Study and teaching -- Psychological aspects.
Mathematics -- Philosophy.
ISBN 9780691127385 (acid-free paper)
0691127387 (acid-free paper)
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