An Introduction to Mathematical Logic


Author: Richard E. Hodel
Publisher: Courier Corporation
ISBN: 0486497852
Category: Mathematics
Page: 491
View: 2080
DOWNLOAD NOW »
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: 8851
DOWNLOAD NOW »


A Beginner's Guide to Mathematical Logic


Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486492370
Category: Mathematics
Page: 288
View: 7721
DOWNLOAD NOW »
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 Elementary Mathematical Logic


Author: Abram Aronovich Stolyar
Publisher: Courier Corporation
ISBN: 0486645614
Category: Mathematics
Page: 209
View: 5905
DOWNLOAD NOW »
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.

Boolesche Algebra und ihre Anwendungen


Author: John Eldon Whitesitt
Publisher: Springer-Verlag
ISBN: 3322962539
Category: Mathematics
Page: 207
View: 7533
DOWNLOAD NOW »


Einführung in die symbolische Logik

mit besonderer Berücksichtigung ihrer Anwendungen
Author: Rudolf Carnap
Publisher: Springer-Verlag
ISBN: 3709131405
Category: Philosophy
Page: 241
View: 5260
DOWNLOAD NOW »


An Introduction to Symbolic Logic


Author: Langer
Publisher: Courier Corporation
ISBN: 9780486601649
Category: Mathematics
Page: 384
View: 3064
DOWNLOAD NOW »
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: 9780486662695
Category: Mathematics
Page: 211
View: 8121
DOWNLOAD NOW »
"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

Einführung in das mathematische Denken

die Begriffsbildung der modernen Mathematik
Author: Friedrich Waismann
Publisher: N.A
ISBN: 9783534243013
Category: Electronic books
Page: 184
View: 5646
DOWNLOAD NOW »


Principia Mathematica.


Author: Alfred North Whitehead,Bertrand Russell
Publisher: N.A
ISBN: N.A
Category: Logic, Symbolic and mathematical
Page: 167
View: 9857
DOWNLOAD NOW »


Einführung in die mathematische Logik

Klassische Prädikatenlogik
Author: Hans Hermes
Publisher: Springer-Verlag
ISBN: 3322996425
Category: Technology & Engineering
Page: 208
View: 1300
DOWNLOAD NOW »
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.

Naive Mengenlehre


Author: Paul R. Halmos
Publisher: Vandenhoeck & Ruprecht
ISBN: 9783525405277
Category: Arithmetic
Page: 132
View: 462
DOWNLOAD NOW »


Introduction to Logic


Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 9780486406879
Category: Mathematics
Page: 312
View: 8046
DOWNLOAD NOW »
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.

Foundations of Mathematical Logic


Author: Haskell Brooks Curry
Publisher: Courier Corporation
ISBN: 9780486634623
Category: Mathematics
Page: 408
View: 2716
DOWNLOAD NOW »
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.

Das Spiel der Logik


Author: Lewis Carroll
Publisher: Klett-Cotta
ISBN: 9783772819988
Category: Games
Page: 119
View: 5314
DOWNLOAD NOW »


A Profile of Mathematical Logic


Author: Howard DeLong
Publisher: Courier Corporation
ISBN: 0486139158
Category: Mathematics
Page: 320
View: 7480
DOWNLOAD NOW »
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.

Introduction to Mathematical Philosophy


Author: Bertrand Russell
Publisher: Courier Corporation
ISBN: 9780486277240
Category: Mathematics
Page: 208
View: 3170
DOWNLOAD NOW »
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.

First Course in Mathematical Logic


Author: Patrick Suppes,Shirley Hill
Publisher: Courier Corporation
ISBN: 0486150941
Category: Mathematics
Page: 288
View: 874
DOWNLOAD NOW »
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.