## Foundations of Mathematical Logic

**Author**: Haskell Brooks Curry

**Publisher:**Courier Corporation

**ISBN:**9780486634623

**Category:**Mathematics

**Page:**408

**View:**1901

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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.

## Satan, Cantor und die Unendlichkeit

*und 200 weitere verblüffende Tüfteleien*

**Author**: Raymond Smullyan

**Publisher:**Springer-Verlag

**ISBN:**3034862318

**Category:**Juvenile Nonfiction

**Page:**232

**View:**4367

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## Logic for Mathematicians

**Author**: J. Barkley Rosser

**Publisher:**Courier Dover Publications

**ISBN:**0486468984

**Category:**Mathematics

**Page:**574

**View:**4789

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Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed, and the examples are chosen from a variety of mathematical fields. Starting with an introduction to symbolic logic, the first eight chapters develop logic through the restricted predicate calculus. Topics include the statement calculus, the use of names, an axiomatic treatment of the statement calculus, descriptions, and equality. Succeeding chapters explore abstract set theory—with examinations of class membership as well as relations and functions—cardinal and ordinal arithmetic, and the axiom of choice. An invaluable reference book for all mathematicians, this text is suitable for advanced undergraduates and graduate students. Numerous exercises make it particularly appropriate for classroom use.

## An Introduction to Mathematical Logic

**Author**: Richard E. Hodel

**Publisher:**Courier Corporation

**ISBN:**0486497852

**Category:**Mathematics

**Page:**491

**View:**5941

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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.

## A Profile of Mathematical Logic

**Author**: Howard DeLong

**Publisher:**Courier Corporation

**ISBN:**0486139158

**Category:**Mathematics

**Page:**320

**View:**9930

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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.

## Einführung in die mathematische Logik

*Klassische Prädikatenlogik*

**Author**: Hans Hermes

**Publisher:**Vieweg+Teubner Verlag

**ISBN:**9783519222019

**Category:**Technology & Engineering

**Page:**208

**View:**9456

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Das vorliegende, 1963 in erster Auflage erschienene Buch ist aus Vorlesungen hervorgegangen. Es soll eine Einführung in die klassische zweiwertige Prädikaten logik geben. Die Beschränkung auf die klassische Logik soll nicht besagen, daß diese Logik prinzipiell einen Vorzug vor anderen, nichtklassischen Logiken besitzt. Die klassische Logik empfiehlt sich jedoch als Einführung in die Logik wegen ihrer Einfachheit und als Fundament für die Anwendung deshalb, weil sie der klassischen Mathematik und damit den darauf aufgebauten exakten Wissenschaften zugrunde liegt. Das Buch wendet sich primär an Studierende der Mathematik, die in den An fängervorlesungen bereits einige grundlegende mathematische Begriffe, wie den Gruppenbegriff, kennengelernt haben. Der Leser soll dazu geführt werden, daß er die Vorteile einer Formalisierung einsieht. Der übergang von der Umgangssprache zu einer formalisierten Sprache, welcher erfahrungsgemäß gewisse Schwierigkeiten bereitet, wird eingehend besprochen und eingeübt. Die Analyse desmathemati schen Umgangs mit den grundlegenden mathematischen Strukturen führt in zwangloser Weise zum semantisch begründeten Folgerungsbegriff.

## Popular Lectures on Mathematical Logic

**Author**: Hao Wang

**Publisher:**Courier Corporation

**ISBN:**0486171043

**Category:**Mathematics

**Page:**292

**View:**9962

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Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.

## Das Spiel der Logik

**Author**: Lewis Carroll

**Publisher:**Klett-Cotta

**ISBN:**9783772819988

**Category:**Games

**Page:**119

**View:**607

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## First Order Mathematical Logic

**Author**: Angelo Margaris

**Publisher:**Courier Corporation

**ISBN:**9780486662695

**Category:**Mathematics

**Page:**211

**View:**6619

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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

## First Course in Mathematical Logic

**Author**: Patrick Suppes,Shirley Hill

**Publisher:**Courier Corporation

**ISBN:**0486150941

**Category:**Mathematics

**Page:**288

**View:**1821

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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.

## Mathematical Logic

**Author**: Stephen Cole Kleene

**Publisher:**Courier Corporation

**ISBN:**0486317072

**Category:**Mathematics

**Page:**416

**View:**3953

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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.

## Introduction to Elementary Mathematical Logic

**Author**: Abram Aronovich Stolyar

**Publisher:**Courier Corporation

**ISBN:**0486645614

**Category:**Mathematics

**Page:**209

**View:**7852

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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.

## My Best Mathematical and Logic Puzzles

**Author**: Martin Gardner

**Publisher:**Courier Corporation

**ISBN:**0486320324

**Category:**Games & Activities

**Page:**96

**View:**7974

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The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions.

## A Beginner's Guide to Mathematical Logic

**Author**: Raymond M. Smullyan

**Publisher:**Courier Corporation

**ISBN:**0486492370

**Category:**Mathematics

**Page:**288

**View:**5592

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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

## Principia Mathematica.

**Author**: Alfred North Whitehead,Bertrand Russell

**Publisher:**N.A

**ISBN:**N.A

**Category:**Logic, Symbolic and mathematical

**Page:**167

**View:**4238

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## Naive Mengenlehre

**Author**: Paul R. Halmos

**Publisher:**Vandenhoeck & Ruprecht

**ISBN:**9783525405277

**Category:**Arithmetic

**Page:**132

**View:**9785

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## Einführung in die nicht-klassische Logik

**Author**: Graham Priest

**Publisher:**N.A

**ISBN:**9783897855427

**Category:**Nonclassical mathematical logic

**Page:**306

**View:**326

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## The Master Book of Mathematical Recreations

**Author**: Frederik Schuh

**Publisher:**Courier Corporation

**ISBN:**0486221342

**Category:**Games

**Page:**430

**View:**8115

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Guides the reader in understanding the mathematical principles involved in a wide variety of puzzles and card tricks.

## Puzzles in Math and Logic

*100 New Recreations*

**Author**: Aaron J. Friedland

**Publisher:**Courier Corporation

**ISBN:**9780486222561

**Category:**Games

**Page:**66

**View:**5457

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Selected brain teasers requiring geometric, algebraic, and logical solutions