Introduction to Elementary Mathematical Logic


Author: Abram Aronovich Stolyar
Publisher: Courier Corporation
ISBN: 0486645614
Category: Mathematics
Page: 209
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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: 0486497852
Category: Mathematics
Page: 491
View: 1395
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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.

Satan, Cantor und die Unendlichkeit

und 200 weitere verblüffende Tüfteleien
Author: Raymond Smullyan
Publisher: Springer-Verlag
ISBN: 3034862318
Category: Juvenile Nonfiction
Page: 232
View: 6623
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A Beginner's Guide to Mathematical Logic


Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486492370
Category: Mathematics
Page: 288
View: 5111
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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

An Introduction to Symbolic Logic


Author: Langer
Publisher: Courier Corporation
ISBN: 9780486601649
Category: Mathematics
Page: 384
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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.

Einführung in die symbolische Logik

mit besonderer Berücksichtigung ihrer Anwendungen
Author: Rudolf Carnap
Publisher: Springer-Verlag
ISBN: 3709131405
Category: Philosophy
Page: 241
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First Order Mathematical Logic


Author: Angelo Margaris
Publisher: Courier Corporation
ISBN: 9780486662695
Category: Mathematics
Page: 211
View: 5108
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"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

Introduction to Logic


Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 9780486406879
Category: Mathematics
Page: 312
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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.

Principia Mathematica.


Author: Alfred North Whitehead,Bertrand Russell
Publisher: N.A
ISBN: N.A
Category: Logic, Symbolic and mathematical
Page: 167
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Boolesche Algebra und ihre Anwendungen


Author: John Eldon Whitesitt
Publisher: N.A
ISBN: N.A
Category: Algebra, Boolean
Page: 207
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Kurt Gödel

Jahrhundertmathematiker und großer Entdecker
Author: Rebecca Goldstein
Publisher: N.A
ISBN: 9783492249607
Category:
Page: 312
View: 8231
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Foundations of Mathematical Logic


Author: Haskell Brooks Curry
Publisher: Courier Corporation
ISBN: 9780486634623
Category: Mathematics
Page: 408
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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,Shirley Hill
Publisher: Courier Corporation
ISBN: 0486150941
Category: Mathematics
Page: 288
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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.

Grundzüge der Mengenlehre


Author: Felix Hausdorff
Publisher: American Mathematical Soc.
ISBN: 9780828400619
Category: Mathematics
Page: 476
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This reprint of the original 1914 edition of this famous work contains many topics that had to be omitted from later editions, notably, Symmetric Sets, Principle of Duality, most of the ``Algebra'' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, the Special Methods Applicable in the Euclidean Plane, Jordan's Separation Theorem, the Theory of Content and Measure, the Theory of the Lebesgue Integral. The text is in German.

Introduction to Mathematical Philosophy


Author: Bertrand Russell
Publisher: Courier Corporation
ISBN: 9780486277240
Category: Mathematics
Page: 208
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In the words of Bertrand Russell, "Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy." That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy. In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

Set Theory and Logic


Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486139646
Category: Mathematics
Page: 512
View: 3835
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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.

Introduction to Mathematical Thinking

The Formation of Concepts in Modern Mathematics
Author: Friedrich Waismann
Publisher: Courier Corporation
ISBN: 0486167429
Category: Mathematics
Page: 272
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Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.

Naive Mengenlehre


Author: Paul R. Halmos
Publisher: Vandenhoeck & Ruprecht
ISBN: 9783525405277
Category: Arithmetic
Page: 132
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A Profile of Mathematical Logic


Author: Howard DeLong
Publisher: Courier Corporation
ISBN: 0486139158
Category: Mathematics
Page: 320
View: 2682
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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.