How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers.
"To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, in...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
c2007.
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| Subjects: |
MARC
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| 245 | 1 | 0 | |a How mathematicians think : |b using ambiguity, contradiction, and paradox to create mathematics / |c William Byers. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c c2007. | |
| 300 | |a vii, 415 p. ; |c 24 cm. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Introduction : turning on the light -- |g Ch. 1. |t Ambiguity in mathematics -- |g Ch. 2. |t The contradictory in mathematics -- |g Ch. 3. |t Paradoxes and mathematics : infinity and the real numbers -- |g Ch. 4. |t More paradoxes of infinity : geometry, cardinality, and beyond -- |g Ch. 5. |t The idea as an organizing principle -- |g Ch. 6. |t Ideas, logic, and paradox -- |g Ch. 7. |t Great ideas -- |g Ch. 8. |t The truth of mathematics -- |g Ch. 9. |t Conclusion : is mathematics algorithmic or creative? |
| 520 | 1 | |a "To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results."--BOOK JACKET. | |
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