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Why Is There Philosophy of Mathematics At All? (Paperback, New)
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Why Is There Philosophy of Mathematics At All? (Paperback, New)
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This truly philosophical book takes us back to fundamentals - the
sheer experience of proof, and the enigmatic relation of
mathematics to nature. It asks unexpected questions, such as 'what
makes mathematics mathematics?', 'where did proof come from and how
did it evolve?', and 'how did the distinction between pure and
applied mathematics come into being?' In a wide-ranging discussion
that is both immersed in the past and unusually attuned to the
competing philosophical ideas of contemporary mathematicians, it
shows that proof and other forms of mathematical exploration
continue to be living, evolving practices - responsive to new
technologies, yet embedded in permanent (and astonishing) facts
about human beings. It distinguishes several distinct types of
application of mathematics, and shows how each leads to a different
philosophical conundrum. Here is a remarkable body of new
philosophical thinking about proofs, applications, and other
mathematical activities.
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