Figures of Thought

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A01=David Reed
Abelian Extensions
Abelian Varieties
Alexander Grothendieck
algebraic
Algebraic Geometers
Algebraic Geometry
Algebraic Integers
Algebraic Number
approach
argument
Author_David Reed
Book III
Book VII
Book XI
Book XI Xiii
books
Category=PDA
Category=QD
Dedekind's Work
Dedekind’s Work
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Euclid's Approach
Euclid's Argument
euclids
General Logical Equivalences
geometry
geometry foundations
history of number theory
Homotopy Theory
mathematical
mathematical epistemology
mathematical hermeneutics
Mathematical Subject Matter
matter
Number Fields
philosophy of science
proof theory
Rational Integers
reading mathematical texts critically
Riemann Hypothesis
Solid Figures
subject
Topological Spaces
Universal Domains
Unramified Extensions
xiii

Product details

  • ISBN 9780415865432
  • Weight: 380g
  • Dimensions: 138 x 216mm
  • Publication Date: 25 Oct 2013
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Rarely has the history or philosophy of mathematics been written about by mathematicians, and the analysis of mathematical texts themselves has been an area almost entirely unexplored. Figures of Thought looks at ways in which mathematical works can be read as texts, examines their textual strategies and demonstrates that such readings provide a rich source of philosophical issues regarding mathematics: issues which traditional approaches to the history and philosophy of mathematics have neglected.
David Reed, a professional mathematician himself, offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. In doing so he develops new and fascinating interpretations of mathematicians' work throughout history, from an in-depth analysis of Euclid's Elements, to the mathematics of Descartes and right up to the work of contemporary mathematicians such as Grothendeick. He also traces the implications of this approach to the understanding of the history and development of mathematics.

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