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Foundations of Mathematical Logic

1977-01-01 Mathematics
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Release : 1977-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 623/5 ( reviews)

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Book Synopsis Foundations of Mathematical Logic by : Haskell Brooks Curry

Download or read book Foundations of Mathematical Logic written by Haskell Brooks Curry. This book was released on 1977-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.

Fundamentals of Mathematical Logic

2018-10-08 Mathematics
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Release : 2018-10-08
Genre : Mathematics
Kind : eBook
Book Rating : 276/5 ( reviews)

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Book Synopsis Fundamentals of Mathematical Logic by : Peter G. Hinman

Download or read book Fundamentals of Mathematical Logic written by Peter G. Hinman. This book was released on 2018-10-08. Available in PDF, EPUB and Kindle. Book excerpt: This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

Foundations of Logic and Mathematics

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 25X/5 ( reviews)

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Book Synopsis Foundations of Logic and Mathematics by : Yves Nievergelt

Download or read book Foundations of Logic and Mathematics written by Yves Nievergelt. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.

The Logical Foundations of Mathematics

2014-05-09 Mathematics
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Release : 2014-05-09
Genre : Mathematics
Kind : eBook
Book Rating : 635/5 ( reviews)

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Book Synopsis The Logical Foundations of Mathematics by : William S. Hatcher

Download or read book The Logical Foundations of Mathematics written by William S. Hatcher. This book was released on 2014-05-09. Available in PDF, EPUB and Kindle. Book excerpt: 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 and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

Mathematical Logic and the Foundations of Mathematics

2001 Logic, Symbolic and mathematical
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Release : 2001
Genre : Logic, Symbolic and mathematical
Kind : eBook
Book Rating : 127/5 ( reviews)

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Book Synopsis Mathematical Logic and the Foundations of Mathematics by : G. T. Kneebone

Download or read book Mathematical Logic and the Foundations of Mathematics written by G. T. Kneebone. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for students intending to specialize in the topic. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics. Part III focuses on the philosophy of mathematics.

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