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Metaphysical Myths, Mathematical Practice - The Ontology and Epistemology of the Exact Sciences (Hardcover)
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Metaphysical Myths, Mathematical Practice - The Ontology and Epistemology of the Exact Sciences (Hardcover)
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This original and exciting study offers a completely new
perspective on the philosophy of mathematics. Most philosophers of
mathematics try to show either that the sort of knowledge
mathematicians have is similar to the sort of knowledge specialists
in the empirical sciences have or that the kind of knowledge
mathematicians have, although apparently about objects such as
numbers, sets, and so on, isn't really about those sorts of things
at all. Jody Azzouni argues that mathematical knowledge is a
special kind of knowledge that must be gathered in its own unique
way. He analyzes the linguistic pitfalls and misperceptions
philosophers in this field are often prone to, and explores the
misapplications of epistemic principles from the empirical sciences
to the exact sciences. What emerges is a picture of mathematics
sensitive both to mathematical practice and to the ontological and
epistemological issues that concern philosophers. The book will be
of special interest to philosophers of science, mathematics, logic,
and language. It should also interest mathematicians themselves.
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