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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Categories for the Working Philosopher (Hardcover)
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Categories for the Working Philosopher (Hardcover)
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Often people have wondered why there is no introductory text on
category theory aimed at philosophers working in related areas. The
answer is simple: what makes categories interesting and significant
is their specific use for specific purposes. These uses and
purposes, however, vary over many areas, both "pure", e.g.,
mathematical, foundational and logical, and "applied", e.g.,
applied to physics, biology and the nature and structure of
mathematical models. Borrowing from the title of Saunders Mac
Lane's seminal work "Categories for the Working Mathematician",
this book aims to bring the concepts of category theory to
philosophers working in areas ranging from mathematics to proof
theory to computer science to ontology, from to physics to biology
to cognition, from mathematical modeling to the structure of
scientific theories to the structure of the world. Moreover, it
aims to do this in a way that is accessible to non-specialists.
Each chapter is written by either a category-theorist or a
philosopher working in one of the represented areas, and in a way
that builds on the concepts that are already familiar to
philosophers working in these areas.
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