How Mathematicians Think : Using Ambiguity, Contradiction, and Paradox to Create Mathematics /

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"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, in...

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Detalles Bibliográficos
Autor principal: Byers, William, 1943-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2007.
Colección:Book collections on Project MUSE.
Temas:
Mathematics > Psychological aspects.
Mathematics > Philosophy.
Mathematicians > Psychology.
MATHEMATICS > History & Philosophy.
Mathematiques > Aspect psychologique.
Mathematiques > Philosophie.
Cognition numerique.
Mathematiciens > Psychologie.
Electronic books.
Acceso en línea:Texto completo

MARC

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245 1 0 |a How Mathematicians Think :   |b Using Ambiguity, Contradiction, and Paradox to Create Mathematics /   |c William Byers. 
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264 4 |c ©2007. 
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505 0 0 |t Acknowledgments --  |t Introduction : Turning on the light --  |t Section 1 : The light of ambiguity  |g ch. 1 --  |t Ambiguity in mathematics  |g ch. 2 --  |t The contradictory in mathematics  |g ch. 3 --  |t Paradoxes and mathematics : infinity and the real numbers  |g ch. 4 --  |t More paradoxes of infinity : geometry, cardinality, and beyond --  |t Section 2 : The light as idea  |g ch. 5. The --  |t idea as an organizing principle  |g ch. 6 --  |t Ideas, logic, and paradox  |g ch. 7 --  |t Great ideas --  |t Section 3 : The light and the eye of the beholder  |g ch. 8. The --  |t truth of mathematics  |g ch. 9 --  |t Conclusion : is mathematics algorithmic or creative? --  |t Notes --  |t Bibliography --  |t Index. 
520 1 |a "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 
546 |a English. 
588 |a Description based on print version record. 
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650 7 |a Mathematics  |x Philosophy.  |2 fast  |0 (OCoLC)fst01012213 
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650 6 |a Mathematiques  |x Aspect psychologique. 
650 6 |a Mathematiques  |x Philosophie. 
650 6 |a Cognition numerique. 
650 6 |a Mathematiciens  |x Psychologie. 
650 0 |a Mathematics  |x Philosophy. 
650 0 |a Mathematics  |x Psychological aspects. 
650 0 |a Mathematicians  |x Psychology. 
655 7 |a Electronic books.   |2 local 
710 2 |a Project Muse.  |e distributor 
830 0 |a Book collections on Project MUSE. 
856 4 0 |z Texto completo  |u https://projectmuse.uam.elogim.com/book/30006/ 
945 |a Project MUSE - Custom Collection 

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