Truth Functional Logic

Author : J. A. Faris
Publisher : Routledge
Page : 127 pages
File Size : 52,8 Mb
Release : 2019-11-04
Category : Philosophy
ISBN : 9781000735536

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Truth-Functional Logic by J. A. Faris Pdf

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.

Author : P.D. Magnus
Publisher : Good Press
Page : 162 pages
File Size : 42,9 Mb
Release : 2023-11-27
Category : Philosophy
ISBN : EAN:8596547679349

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Forallx - An Introduction to Formal Logic by P.D. Magnus Pdf

Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 42,6 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431

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A Concise Introduction to Logic by Craig DeLancey Pdf

Author : Geoffrey Hunter
Publisher : Univ of California Press
Page : 306 pages
File Size : 45,8 Mb
Release : 1973-06-26
Category : Mathematics
ISBN : 0520023560

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Metalogic by Geoffrey Hunter Pdf

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.

Author : John Acheson Faris
Publisher : Hassell Street Press
Page : 136 pages
File Size : 48,8 Mb
Release : 2021-09-09
Category : Electronic
ISBN : 1014342414

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Truth-functional Logic by John Acheson Faris Pdf

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.

Author : R.L. Simpson
Publisher : Broadview Press
Page : 262 pages
File Size : 50,8 Mb
Release : 1998-12-10
Category : Philosophy
ISBN : 1551112507

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Essentials of Symbolic Logic by R.L. Simpson Pdf

Author : Alex Scott
Publisher : iUniverse
Page : 303 pages
File Size : 42,8 Mb
Release : 2010-02
Category : Philosophy
ISBN : 9781450205863

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What is Expression? by Alex Scott Pdf

What are the elements of expression? What are the origins, aims, and functions of expression? An adequate theory of expression can help us to address these questions and to recognize the diversity of the many modes of expression (scientific, ethical, aesthetic, religious, and sociocultural). Alex Scott describes the interdependence of the modes of expression, showing that a theory of expression can promote social understanding by illuminating the nature of our interdependence as individuals in society. Expression theory, as described by Scott, is not merely a theory of art. It is a theory of the ethics, aesthetics, psychology, logic, language, and politics of expression. It is a theory that enables us to examine in a more comprehensive way the question of whether there are any logical limits to the expressive capacity of language. Expression theory is also a theory that enables us transcend the dialectics of the said and the unsaid, the sayable and the unsayable. It enables us to address the question of whether the communicability of a person's thoughts or feelings is determined solely by that person's communicative competence or whether there are some kinds of thoughts and feelings that are truly ineffable and incommunicable.

Author : Robert M. Martin
Publisher : Broadview Press
Page : 288 pages
File Size : 44,9 Mb
Release : 2004-05-14
Category : Philosophy
ISBN : 9781460401156

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Introducing Symbolic Logic by Robert M. Martin Pdf

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 : Willard Van Orman Quine
Publisher : Harvard University Press
Page : 148 pages
File Size : 44,5 Mb
Release : 1980-10-15
Category : Philosophy
ISBN : 0674244516

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Elementary Logic by Willard Van Orman Quine Pdf

Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.

Author : Denise D. Cummins
Publisher : Cambridge University Press
Page : 213 pages
File Size : 41,6 Mb
Release : 2012-04-16
Category : History
ISBN : 9780521192040

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Good Thinking by Denise D. Cummins Pdf

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.

Author : Nicholas J.J. Smith
Publisher : Princeton University Press
Page : 544 pages
File Size : 44,8 Mb
Release : 2012-04
Category : Philosophy
ISBN : 9780691151632

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Logic by Nicholas J.J. Smith Pdf

Provides an essential introduction to classical logic.

Author : Diogenes Allen
Publisher : Westminster John Knox Press
Page : 310 pages
File Size : 53,5 Mb
Release : 1985-01-01
Category : Psychology
ISBN : 0804206880

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Philosophy for Understanding Theology by Diogenes Allen Pdf

"This book goes a long way toward showing...that philosophical knowledge enables one to appreciate more deeply the meaning of virtually every major doctrinal formulation and every major theologian".---Eternity

Author : Robert M. Martin
Publisher : Broadview Press
Page : 274 pages
File Size : 41,7 Mb
Release : 2004-05-14
Category : Philosophy
ISBN : 1551116359

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Introducing Symbolic Logic by Robert M. Martin Pdf

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 : Alfred Jules Ayer
Publisher : Rare Treasure Editions
Page : 223 pages
File Size : 53,7 Mb
Release : 2024-03-14T00:00:00Z
Category : Philosophy
ISBN : 9781774646830

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Language, Truth and Logic by Alfred Jules Ayer Pdf

LANGUAGE, TRUTH AND LOGIC is the classic work of philosophy by Alfred Jules Ayer published in 1936 when Ayer was 26 (though it was in fact completed by age 25). This book defines, explains, and argues for the verification principle of logical positivism, as it relates to the use of objectives and methods in determining truths and probabilities. And whether or not one agrees that emperical evidence is the only basis for proof, there is no denying that this is a brilliant book in how it explains in what ways the principle of verifiability may be applied to the problems of philosophy itself.

Author : Paul A. Gregory
Publisher : Broadview Press
Page : 400 pages
File Size : 41,5 Mb
Release : 2017-04-30
Category : Philosophy
ISBN : 9781770485945

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Formal Logic by Paul A. Gregory Pdf

Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.