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.
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Mathematics -- Study and teaching -- Psychological aspects.
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Mathematics -- Philosophy.
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ISBN |
9780691127385 (acid-free paper) |
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0691127387 (acid-free paper) |
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