Isbn: 9780691145990 - how mathematicians think: using ambiguity, contradiction, and paradox to create mathematics (40 resultados)

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Condición: New.

Paperback. Condición: New. 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. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure.The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.…

Condición: As New. Unread book in perfect condition.

Paperback or Softback. Condición: New. How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics. Book.

Condición: New.

Paperback. Condición: New. 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. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure.The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.…

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Condición: new.

Condición: New. 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. This book reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Num Pages: 424 pages, 6 halftones. 48 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 225 x 156 x 32. Weight in Grams: 618. . 2010. Sixth. Paperback. . . . .…

Paperback. Condición: new. Paperback. 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. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure.The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself. 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. This book reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Condición: New. pp. 424.

Condición: New. pp. 424 Index.

Condición: New. 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. This book reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Num Pages: 424 pages, 6 halftones. 48 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 225 x 156 x 32. Weight in Grams: 618. . 2010. Sixth. Paperback. . . . . Books ship from the US and Ireland.…

Condición: As New. Unread book in perfect condition.

Condición: New.

Condición: New. In English.

Paperback / softback. Condición: New. New copy - Usually dispatched within 4 working days.