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The Logical Foundations of Mathematics: Foundations and Philosophy of Science and Technology Series by William S. Hatcher * Download »DOC

The Logical Foundations of Mathematics: Foundations and Philosophy of Science and Technology Series


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The Logical Foundations of Mathematics: Foundations and Philosophy of Science and Technology Series

Title:The Logical Foundations of Mathematics: Foundations and Philosophy of Science and Technology Series
Author:William S. Hatcher
Rating:4.99 (174 Votes)
Asin:B01DKJO50I
Format Type:-
Number of Pages:0 Pages
Publish Date:2014-05-09
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The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory.

Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics an

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