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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