Truth-Functional Logic

Truth-Functional Logic PDF

Author: J. A. Faris

Publisher: Routledge

Published: 2019-11-04

Total Pages: 127

ISBN-13: 1000735532

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Originally published in 1962. This book gives an account of the concepts and methods of a basic part of logic. In chapter I elementary ideas, including those of truth-functional argument and truth-functional validity, are explained. Chapter II begins with a more comprehensive account of truth-functionality; the leading characteristics of the most important monadic and dyadic truth-functions are described, and the different notations in use are set forth. The main part of the book describes and explains three different methods of testing truth-functional aguments and agument forms for validity: the truthtable method, the deductive method and the method of normal forms; for the benefit mainly of readers who have not acquired in one way or another a general facility in the manipulation of symbols some of the procedures have been described in rather more detail than is common in texts of this kind. In the final chapter the author discusses and rejects the view, based largely on the so called paradoxes of material implication, that truth-functional logic is not applicable in any really important way to arguments of ordinary discourse.

Metalogic

Metalogic PDF

Author: Geoffrey Hunter

Publisher: Univ of California Press

Published: 1973-06-26

Total Pages: 306

ISBN-13: 9780520023567

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This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.

Truth-functional Logic

Truth-functional Logic PDF

Author: John Acheson Faris

Publisher: Hassell Street Press

Published: 2021-09-10

Total Pages: 136

ISBN-13: 9781015212190

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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Logic

Logic PDF

Author: Nicholas J.J. Smith

Publisher: Princeton University Press

Published: 2012-04

Total Pages: 544

ISBN-13: 0691151636

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Provides an essential introduction to classical logic.

Introducing Symbolic Logic

Introducing Symbolic Logic PDF

Author: Robert M. Martin

Publisher: Broadview Press

Published: 2004-05-14

Total Pages: 274

ISBN-13: 9781551116358

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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.

Good Thinking

Good Thinking PDF

Author: Denise D. Cummins

Publisher: Cambridge University Press

Published: 2012-04-16

Total Pages: 213

ISBN-13: 0521192048

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Do you know what economists mean when they refer to you as a "rational agent"? Or why a psychologist might label your idea a "creative insight"? After reading this book, you will know how the best and brightest thinkers judge the ways we decide, argue, solve problems, and tell right from wrong.

Language, Truth and Logic

Language, Truth and Logic PDF

Author: Alfred Jules Ayer

Publisher: Courier Corporation

Published: 2012-04-18

Total Pages: 175

ISBN-13: 0486113094

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"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.

Deductive Logic

Deductive Logic PDF

Author: Warren Goldfarb

Publisher: Hackett Publishing

Published: 2003-09-15

Total Pages: 309

ISBN-13: 1603845852

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This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.

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