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Paperback Introduction to Higher Order Categorical Logic Book

ISBN: 0521356539

ISBN13: 9780521356534

Introduction to Higher Order Categorical Logic

(Book #7 in the Cambridge Studies in Advanced Mathematics Series)

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Book Overview

In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to...

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Math Mathematics Science & Math

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