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

By: Material type: TextPublication details: Princeton : Princeton University Press, c2007.Description: vii, 415 p. : ill. ; 24 cmISBN:
  • 9780691127385 (acidfree paper)
  • 0691127387 (acidfree paper)
Subject(s): DDC classification:
  • 510.92 22
LOC classification:
  • BF456.N7 B94 2007
Online resources:
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.
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Holdings
Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Monograph ( Printed materials) ARRUPE LIBRARY Main Collection Main Collection BF456.N7 B94 2007 (Browse shelf(Opens below)) Available 46500003229
Total holds: 0

Includes bibliographical references (p. 399-405) and index.

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.

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