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

By: Material type: TextTextPublication 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.
Item type: Book
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Holdings
Home library Call number Status Notes Barcode
Martha's Vineyard High School Library 510.9/BYERS (Browse shelf(Opens below)) Available Donated by Elliott Bennett 39844400063554

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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