Asia Pacific University Library catalogue


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

By: Byers, William, 1943-Material type: TextTextPublication details: Princeton : Princeton University Press, c2007Description: vii, 415 p. : ill. ; 24 cmISBN: 9780691127385 (hbk.); 0691127387 (hbk.)Subject(s): Mathematicians -- Psychology | Mathematics -- Psychological aspects | Mathematics -- PhilosophyDDC classification: 510.92 LOC classification: BF456.N7 | B94 2007Online resources: Table of contents only | Publisher description | Contributor biographical information
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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Open Shelf 		Book BF456.N7 B94 2007 c.1 (Browse shelf (Opens below)) 1 Available (No use restrictions) 00028982

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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