How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics

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...

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Detalles Bibliográficos
Autor principal: Byers, William
Lenguaje:eng
Publicado: Princeton Univ. Press 2007
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1271087
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author Byers, William
author_facet Byers, William
author_sort Byers, William
collection CERN
description 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
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spelling cern-12710872021-04-22T01:17:31Zhttp://cds.cern.ch/record/1271087engByers, WilliamHow mathematicians think: using ambiguity, contradiction, and paradox to create mathemathicsMathematical Physics and MathematicsTo 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 resultsPrinceton Univ. Pressoai:cds.cern.ch:12710872007
spellingShingle Mathematical Physics and Mathematics
Byers, William
How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
title How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
title_full How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
title_fullStr How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
title_full_unstemmed How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
title_short How mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
title_sort how mathematicians think: using ambiguity, contradiction, and paradox to create mathemathics
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1271087
work_keys_str_mv AT byerswilliam howmathematiciansthinkusingambiguitycontradictionandparadoxtocreatemathemathics

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