An Introduction to Mathematical Logic

Author: Richard E. Hodel
Publisher: Courier Corporation
ISBN: 0486497852
Format: PDF, ePub, Docs
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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

Introduction to Logic

Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486138054
Format: PDF, Kindle
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Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.

Introduction to Logic and to the Methodology of Deductive Sciences

Author: Alfred Tarski
Publisher: Courier Corporation
ISBN: 048628462X
Format: PDF, Docs
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First published in Polish in 1936, this classic work was originally written as a popular scientific book - one that would present to the educated layman a clear picture of certain powerful trends of thought in modern logic.

Mathematical Logic

Author: Stephen Cole Kleene
Publisher: Courier Corporation
ISBN: 0486317072
Format: PDF, ePub, Mobi
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Mathematics and Logic

Author: Mark Kac
Publisher: Courier Corporation
ISBN: 0486670856
Format: PDF, ePub, Mobi
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Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

First order Logic

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 9780486683706
Format: PDF, ePub
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Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.

A Profile of Mathematical Logic

Author: Howard DeLong
Publisher: Courier Corporation
ISBN: 0486139158
Format: PDF, ePub, Mobi
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This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.

A Beginner s Guide to Mathematical Logic

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486492370
Format: PDF
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Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. Dover (2014) original publication. See every Dover book in print at www.doverpublications.com

Introduction to Mathematical Logic Fourth Edition

Author: Elliott Mendelson
Publisher: CRC Press
ISBN: 9780412808302
Format: PDF, ePub, Mobi
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The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them. Introduction to Mathematical Logic includes: propositional logic first-order logic first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski axiomatic set theory theory of computability The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields.

First Course in Mathematical Logic

Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486150941
Format: PDF, Docs
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Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.