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, N.J. ; Woodstock : Princeton University Press, 2007. - vii, 415 p. : ill. ; 24 cm.
Formerly CIP.
Includes bibliographical references (p. 399-405) and index.
Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- Section 3 : The light and the eye of the beholder -- truth of mathematics -- Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index. ch. 1. ch. 2. ch. 3. ch. 4. ch. 5. The ch. 6. ch. 7. ch. 8. The ch. 9. [PART 1 Introduction: turning on the light] The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond. [PART 2 The light as idea] The idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- The light and the eye of the beholder -- The truth of mathematics -- Conclusion : is mathematics algorithmic or creative?.
9780691127385: £22.95 0691127387
2006033160
Mathematicians--Psychology
Mathematics--Psychological aspects
Mathematics--Philosophy
History of mathematics
Mathematical foundations
Philosophy of mathematics
/ B94 2007
510.92
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers. - Princeton, N.J. ; Woodstock : Princeton University Press, 2007. - vii, 415 p. : ill. ; 24 cm.
Formerly CIP.
Includes bibliographical references (p. 399-405) and index.
Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- Section 3 : The light and the eye of the beholder -- truth of mathematics -- Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index. ch. 1. ch. 2. ch. 3. ch. 4. ch. 5. The ch. 6. ch. 7. ch. 8. The ch. 9. [PART 1 Introduction: turning on the light] The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond. [PART 2 The light as idea] The idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- The light and the eye of the beholder -- The truth of mathematics -- Conclusion : is mathematics algorithmic or creative?.
9780691127385: £22.95 0691127387
2006033160
Mathematicians--Psychology
Mathematics--Psychological aspects
Mathematics--Philosophy
History of mathematics
Mathematical foundations
Philosophy of mathematics
/ B94 2007
510.92