Introduction to Logic

Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 9780486138053
Release Date: 2012-07-12
Genre: Mathematics

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: 9780486284620
Release Date: 1995
Genre: Mathematics

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.

Introduction to Elementary Mathematical Logic

Author: Abram Aronovich Stolyar
Publisher: Courier Corporation
ISBN: 9780486645612
Release Date: 1983
Genre: Mathematics

This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.

An Introduction to Mathematical Logic

Author: Richard E. Hodel
Publisher: Courier Corporation
ISBN: 9780486497853
Release Date: 2013
Genre: Mathematics

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.

An Introduction to Symbolic Logic

Author: Langer
Publisher: Courier Corporation
ISBN: 0486601641
Release Date: 2011-11
Genre: Mathematics

Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.

First Order Mathematical Logic

Author: Angelo Margaris
Publisher: Courier Corporation
ISBN: 0486662691
Release Date: 1990
Genre: Mathematics

"Attractive and well-written introduction." — Journal of Symbolic Logic The logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed. Divided into three chapters, the book begins with a brief encounter of naïve set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited. Chapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, The predicate calculus is proved to be complete. The book concludes with an outline of Godel's incompleteness theorem. Ideal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory. "An excellent text." — Mathematical Reviews

Naive Mengenlehre

Author: Paul R. Halmos
Publisher: Vandenhoeck & Ruprecht
ISBN: 3525405278
Release Date: 1976
Genre: Arithmetic


Foundations of Mathematical Logic

Author: Haskell Brooks Curry
Publisher: Courier Corporation
ISBN: 0486634620
Release Date: 1963
Genre: Mathematics

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.

First Course in Mathematical Logic

Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 9780486150949
Release Date: 2012-04-30
Genre: Mathematics

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.

The Elements of Mathematical Logic

Author: Paul C. Rosenbloom
Publisher: Courier Corporation
ISBN: 9780486446172
Release Date: 2005
Genre: Mathematics

This introduction to mathematical logic stresses the use of logical methods in attacking nontrivial problems. It covers the logic of classes, of propositions, of propositional functions, and the general syntax of language, with a brief introduction to so-called undecidability and incompleteness theorems; and much more. 1950 edition.

Set Theory and Logic

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 9780486139647
Release Date: 2012-05-23
Genre: Mathematics

Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.

A Profile of Mathematical Logic

Author: Howard DeLong
Publisher: Courier Corporation
ISBN: 9780486139159
Release Date: 2012-09-26
Genre: Mathematics

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.