Introduction to Logic

Predicate Logic

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Author: Howard Pospesel

Publisher: Pearson College Division

ISBN: 9780131649897

Category: Philosophy

Page: 282

View: 4933

This clearly written book makes logic interesting and easier to learn without sacrificing content or rigor. It covers symbolization, proofs, counterexamples, and truth trees. These topics are presented in graded steps, beginning with the symbolization of categorical propositions and concluding with the properties of relations. Logic is applied to materials with which readers will be familiar; both examples and exercises are drawn from newspapers, television, and other popular sources. For individuals intrigued by the formal study of logic.

Introduction to Elementary Mathematical Logic

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Author: Abram Aronovich Stolyar

Publisher: Courier Corporation

ISBN: 0486645614

Category: Mathematics

Page: 209

View: 2716

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.

A Short Introduction to Intuitionistic Logic

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Author: Grigori Mints,G. E.·Min雝靤,GRIGORI AUTOR MINTS

Publisher: Springer Science & Business Media

ISBN: 0306463946

Category: Computers

Page: 131

View: 9251

Readers are assumed to be familiar with basic notions of first order logic.".

An Introduction to Formal Logic

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Author: Peter Smith

Publisher: Cambridge University Press

ISBN: 9780521008044

Category: Mathematics

Page: 357

View: 660

Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Introduction to Mathematical Logic, Fourth Edition

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Author: Elliott Mendelson

Publisher: CRC Press

ISBN: 9780412808302

Category: Mathematics

Page: 440

View: 6133

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.

Meaning and Argument

An Introduction to Logic Through Language

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Author: Ernest Lepore,Sam Cumming

Publisher: John Wiley & Sons

ISBN: 1405196734

Category: Philosophy

Page: 427

View: 7276

This book shifts introductory logic from the traditional emphasis on proofs to the symbolization of arguments.

An Introduction to Metalogic

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Author: Aladdin M. Yaqub

Publisher: Broadview Press

ISBN: 1460402448

Category: Philosophy

Page: 300

View: 7893

An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.

Logic, Language, and Meaning, Volume 1

Introduction to Logic

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Author: L. T. F. Gamut,L. T. F.. Gamut

Publisher: University of Chicago Press

ISBN: 9780226280844

Category: Philosophy

Page: 296

View: 2782

Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.

A Concise Introduction to Logic

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Author: Patrick J. Hurley

Publisher: Cengage Learning

ISBN: 1285965566

Category: Education

Page: 736

View: 6258

Unsurpassed for its clarity and comprehensiveness, Hurley's A CONCISE INTRODUCTION TO LOGIC is the #1 introductory logic textbook on the market. In this Twelfth Edition, Hurley continues to build upon the tradition of a lucid, focused, and accessible presentation of the basic subject matter of logic, both formal and informal. The edition's new Previews connect a section's content to real-life scenarios pertinent to students' lives, using everyday examples to translate new notions and terms into concepts that readers unfamiliar with the subject matter can relate to. Hurley's extensive, carefully sequenced exercises guide students toward greater proficiency with the skills they are learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Logic in Linguistics

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Author: Jens Allwood,Lars-Gunnar Andersson,Osten Dahl

Publisher: Cambridge University Press

ISBN: 9780521291743

Category: Language Arts & Disciplines

Page: 185

View: 3449

An elementary introduction to formal logic, particularly intended for linguists and others interested in languages. Concepts and theories developed within formal logic for the study of artificial languages have for some time been fruitfully applied to the study of natural languages and some knowledge of them is necessary for students of linguists (especially semantics). With this need in mind the authors offer a clear, succinct and basic introduction to set theory, inference, propositional and predicate logic, deduction, modal and intensional logic, and various concomitant extensions of these. There is a discussion too of the relation between linguistics and logical analysis and between logic and natural language. The authors see increasing scope for co-operation between logicians and linguistics in studying the structure of language, and it is the overall aim of the book to promote this co-operation.