| Description |
1 online resource (vii, 415 pages) : illustrations |
| 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 |
| Summary |
"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."--Jacket |
| Bibliography |
Includes bibliographical references (pages 399-405) and index |
| Notes |
English |
|
Print version record |
| Subject |
Mathematicians -- Psychology
|
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Mathematics -- Psychological aspects
|
|
Mathematics -- Philosophy.
|
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MATHEMATICS -- History & Philosophy.
|
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Mathematicians -- Psychology
|
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Mathematics -- Philosophy
|
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Mathematics -- Psychological aspects
|
| Form |
Electronic book
|
| ISBN |
9781400833955 |
|
1400833957 |
|
9786612531453 |
|
6612531452 |
|
128253145X |
|
9781282531451 |
|
