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Making and Breaking Mathematical Sense

Making and Breaking Mathematical Sense

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  • Forlagets pris kr. 479,95
  • Leveringstid 2-3 hverdage
  • Forventet levering 25-04-2018
Bog, hardback (kr. 344,95)
  1. Beskrivelse

    3 halftones. 14 line illus.

    Udgivelsesdato:
    10-01-2017
    Leveringstid:
    2-3 hverdage
    Rating:
    (0)
  2. Yderligere info
    Udgivelsesdato:
    10-01-2017
    Sprog:
    Engelsk
    ISBN13:
    9780691171715
    Sidetal:
    256
    Vægt:
    595
    Højde:
    28
    Bredde:
    152
    Længde:
    235
    Mærkat:
    Bog, hardback
    Format:
    Hardback
    • Bibliotekernes beskrivelse

      In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do--and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories.It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics' exceptional consensus is due to the subject's underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.

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