How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics /
Byers, William, 1943-
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers. - Princeton : Princeton University Press, c2007. - vii, 415 p. : ill. ; 24 cm.
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.
9780691127385 (acidfree paper) 0691127387 (acid-free paper)
2006033160
GBA736823 bnb
013745985 Uk
Mathematicians--Psychology.
Mathematics--Psychological aspects.
Mathematics--Philosophy.
BF456.N7 / B94 2007
510.92
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers. - Princeton : Princeton University Press, c2007. - vii, 415 p. : ill. ; 24 cm.
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.
9780691127385 (acidfree paper) 0691127387 (acid-free paper)
2006033160
GBA736823 bnb
013745985 Uk
Mathematicians--Psychology.
Mathematics--Psychological aspects.
Mathematics--Philosophy.
BF456.N7 / B94 2007
510.92