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, ©2007. - 1 online resource (vii, 415 pages) : illustrations -
Includes bibliographical references (pages 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 --
"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
English.
9781400833955 (electronic bk.) 1400833957 (electronic bk.) 9786612531453 6612531452 128253145X 9781282531451 (acid-free paper) (acid-free paper)
22573/cttz10z JSTOR
GBA736823 bnb
013745985 Uk
Mathematicians--Psychology.
Mathematics--Psychological aspects.
Mathematics--Philosophy.
Mathématiciens--Psychologie.
Cognition numérique.
Mathématiques--Philosophie.
Mathématiques--Aspect psychologique.
MATHEMATICS--History & Philosophy.
Mathematicians--Psychology.
Mathematics--Philosophy.
Mathematics--Psychological aspects.
Electronic books.
Electronic books.
Electronic books.
BF456.N7 / B94 2007eb
510.92
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers. - Princeton : Princeton University Press, ©2007. - 1 online resource (vii, 415 pages) : illustrations -
Includes bibliographical references (pages 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 --
"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
English.
9781400833955 (electronic bk.) 1400833957 (electronic bk.) 9786612531453 6612531452 128253145X 9781282531451 (acid-free paper) (acid-free paper)
22573/cttz10z JSTOR
GBA736823 bnb
013745985 Uk
Mathematicians--Psychology.
Mathematics--Psychological aspects.
Mathematics--Philosophy.
Mathématiciens--Psychologie.
Cognition numérique.
Mathématiques--Philosophie.
Mathématiques--Aspect psychologique.
MATHEMATICS--History & Philosophy.
Mathematicians--Psychology.
Mathematics--Philosophy.
Mathematics--Psychological aspects.
Electronic books.
Electronic books.
Electronic books.
BF456.N7 / B94 2007eb
510.92