The Resource How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers
Resource Information
The item How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 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 blackandwhite 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 lessfamiliar 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
 Language
 eng
 Extent
 1 online resource (vii, 415 pages)
 Contents

 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
 Acknowledgments
 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
 Introduction : Turning on the light
 Section 1 : The light of ambiguity
 ch. 1
 Ambiguity in mathematics
 ch. 2
 The contradictory in mathematics
 ch. 3
 Isbn
 9781400833955
 Label
 How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics
 Title
 How mathematicians think
 Title remainder
 using ambiguity, contradiction, and paradox to create mathematics
 Statement of responsibility
 William Byers
 Subject

 Electronic books
 MATHEMATICS  History & Philosophy
 Mathematicians  Psychology
 Mathematicians  Psychology
 Mathematics  Philosophy
 Cognition numérique
 Mathematics  Psychological aspects
 Mathematics  Psychological aspects
 Mathématiciens  Psychologie
 Mathématiques  Philosophie
 Mathematics  Philosophy
 Language
 eng
 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 blackandwhite 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 lessfamiliar 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
 Cataloging source
 N$T
 http://library.link/vocab/creatorDate
 1943
 http://library.link/vocab/creatorName
 Byers, William
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Mathematicians
 Mathematics
 Mathematics
 Mathématiciens
 Cognition numérique
 Mathématiques
 MATHEMATICS
 Mathematicians
 Mathematics
 Mathematics
 Label
 How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 399405) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 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
 Acknowledgments
 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
 Introduction : Turning on the light
 Section 1 : The light of ambiguity
 ch. 1
 Ambiguity in mathematics
 ch. 2
 The contradictory in mathematics
 ch. 3
 Control code
 ocn609896892
 Dimensions
 unknown
 Extent
 1 online resource (vii, 415 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400833955
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/cttz10z
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)609896892
 Label
 How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 399405) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 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
 Acknowledgments
 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
 Introduction : Turning on the light
 Section 1 : The light of ambiguity
 ch. 1
 Ambiguity in mathematics
 ch. 2
 The contradictory in mathematics
 ch. 3
 Control code
 ocn609896892
 Dimensions
 unknown
 Extent
 1 online resource (vii, 415 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400833955
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/cttz10z
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)609896892
Subject
 Electronic books
 MATHEMATICS  History & Philosophy
 Mathematicians  Psychology
 Mathematicians  Psychology
 Mathematics  Philosophy
 Cognition numérique
 Mathematics  Psychological aspects
 Mathematics  Psychological aspects
 Mathématiciens  Psychologie
 Mathématiques  Philosophie
 Mathematics  Philosophy
Genre
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Howmathematiciansthinkusingambiguity/94luu3TDDhY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Howmathematiciansthinkusingambiguity/94luu3TDDhY/">How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics, William Byers</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>