TY  - BOOK
AU  - Byers,William
TI  - How mathematicians think: using ambiguity, contradiction, and paradox to create mathematics 
SN  - 9780691127385 (acidfree paper)
AV  - BF456.N7 B94 2007
U1  - 510.92 22
PY  - 2007///
CY  - Princeton
PB  - Princeton University Press
KW  - Mathematicians
KW  - Psychology
KW  - Mathematics
KW  - Psychological aspects
KW  - Philosophy
N1  - Includes bibliographical references and index; Introduction : turning on the light --; Ch. 1; Ambiguity in mathematics --; Ch. 2; The contradictory in mathematics --; Ch. 3; Paradoxes and mathematics : infinity and the real numbers --; Ch. 4; More paradoxes of infinity : geometry, cardinality, and beyond --; Ch. 5; The idea as an organizing principle --; Ch. 6; Ideas, logic, and paradox --; Ch. 7; Great ideas --; Ch. 8; The truth of mathematics --; Ch. 9; Conclusion : is mathematics algorithmic or creative?
N2  - "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."--BOOK JACKET
ER  -