[PDF] Elements Of Symbolic Logic eBook

Author : G. E. Hughes
Publisher : Routledge
Page : 344 pages
File Size : 38,5 MB
Release : 2019-11-04
Category : Philosophy
ISBN : 1000737047

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Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.

Author : William Gustason
Publisher : Waveland Press
Page : 367 pages
File Size : 38,27 MB
Release : 1989-01-01
Category : Mathematics
ISBN : 1478608889

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This volume offers a serious study of the fundamentals of symbolic logic that will neither frustrate nor bore the reader. The emphasis is on developing the students grasp of standard techniques and concepts rather than on achieving a high degree of sophistication. Coverage embraces all of the standard topics in sentential and quantificational logic, including multiple quantification, relations, and identity. Semantic and deductive topics are carefully distinguished, and appendices include an optional discussion of metatheory for sentential logic and truth trees.

Author : Langer
Publisher : Courier Corporation
Page : 390 pages
File Size : 34,37 MB
Release : 1967-01-01
Category : Mathematics
ISBN : 9780486601649

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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.

Author : Paul C. Rosenbloom
Publisher :
Page : 234 pages
File Size : 42,40 MB
Release : 1950
Category : Logic, Symbolic and mathematical
ISBN :

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"This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.

Author : Robert M. Martin
Publisher : Broadview Press
Page : 274 pages
File Size : 34,16 MB
Release : 2004-05-14
Category : Philosophy
ISBN : 1460401158

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This accessible, SHORT introduction to symbolic logic includes coverage of sentential and predicate logic, translations, truth tables, and derivations. The author's engaging style makes this the most informal of introductions to formal logic. Topics are explained in a conversational, easy-to-understand way for readers not familiar with mathematics or formal systems, and the author provides patient, reader-friendly explanations—even with the occasional bit of humour. The first half of the book deals with all the basic elements of Sentential Logic: the five truth-functional connectives, formation rules and translation into this language, truth-tables for validity, logical truth/falsity, equivalency, consistency and derivations. The second half deals with Quantifier Logic: the two quantifiers, formation rules and translation, demonstrating certain logical characteristics by “Finding an Interpretation” and derivations. There are plenty of exercises scattered throughout, more than in many texts, arranged in order of increasing difficulty and including separate answer keys.

Author : R. L. Simpson
Publisher : Taylor & Francis
Page : 193 pages
File Size : 35,10 MB
Release : 1988
Category : Logic
ISBN : 9780415018715

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Essentials of Symbolic Logic is a concise and clearly written introduction to the topic. Based on years of use in colleges and universities, the book provides an accessible and thorough grounding in sentence logic and predicate logic. While technical jargon is kept to a minimum, all necessary logical concepts and vocabulary are explained clearly. A standard system of natural deduction is developed, and readers are given suggestions for developing strategies for creating derivations (proofs) in this system.

Author : Rudolf Carnap
Publisher : Courier Corporation
Page : 280 pages
File Size : 44,65 MB
Release : 2012-07-12
Category : Mathematics
ISBN : 048614349X

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Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.