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 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
- 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 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
- 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 399-405) 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 399-405) 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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.sandiego.edu/portal/How-mathematicians-think--using-ambiguity/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/How-mathematicians-think--using-ambiguity/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>
