The Elements Of Formal Logic

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The Elements of Formal Logic

Author : G. E. Hughes
Publisher : Routledge
ISBN 13 : 100073658X
Total Pages : 421 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis The Elements of Formal Logic by : G. E. Hughes

Download or read book The Elements of Formal Logic written by G. E. Hughes and published by Routledge. This book was released on 2019-11-04 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Elements of Formal Logic

Author : C. E.. Hugues
Publisher :
ISBN 13 :
Total Pages : 399 pages
Book Rating : 4.:/5 (752 download)

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Book Synopsis The Elements of Formal Logic by : C. E.. Hugues

Download or read book The Elements of Formal Logic written by C. E.. Hugues and published by . This book was released on 1965 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Formal Logic

Author : Peter Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521008044
Total Pages : 370 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis An Introduction to Formal Logic by : Peter Smith

Download or read book An Introduction to Formal Logic written by Peter Smith and published by Cambridge University Press. This book was released on 2003-11-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Forallx - An Introduction to Formal Logic

Author : P.D. Magnus
Publisher : Good Press
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.8/5 (596 download)

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Book Synopsis Forallx - An Introduction to Formal Logic by : P.D. Magnus

Download or read book Forallx - An Introduction to Formal Logic written by P.D. Magnus and published by Good Press. This book was released on 2023-11-27 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Formal Logic

Author : Paul A. Gregory
Publisher : Broadview Press
ISBN 13 : 1770485945
Total Pages : 400 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Formal Logic by : Paul A. Gregory

Download or read book Formal Logic written by Paul A. Gregory and published by Broadview Press. This book was released on 2017-04-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Symbolic Logic

Author : Hans Reichenbach
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (86 download)

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Book Synopsis Elements of Symbolic Logic by : Hans Reichenbach

Download or read book Elements of Symbolic Logic written by Hans Reichenbach and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Elements of Mathematical Logic

Author : Paul C. Rosenbloom
Publisher : Courier Dover Publications
ISBN 13 : 9780486446172
Total Pages : 0 pages
Book Rating : 4.4/5 (461 download)

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Book Synopsis The Elements of Mathematical Logic by : Paul C. Rosenbloom

Download or read book The Elements of Mathematical Logic written by Paul C. Rosenbloom and published by Courier Dover Publications. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to mathematical logic, this book provides readers with a sound knowledge of the most important approaches to the subject, stressing the use of logical methods in attacking nontrivial problems. Its chapters cover the logic of classes (including a section on the structure and representation of Boolean algebras, which are applied in the following chapters to the study of deductive systems), the logic of propositions, the logic of propositional functions (summarizing the methods of Russell, Quine, Zermelo, Curry, and Church for the construction of such logics), and the general syntax of language, with a brief introduction that also illustrates applications to so-called undecidability and incompleteness theorems. Other topics include the simple proof of the completeness of the theory of combinations, Church's theorem on the recursive unsolvability of the decision problem for the restricted function calculus, and the demonstrable properties of a formal system as a criterion for its acceptability.

The Elements of Logic

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis The Elements of Logic by :

Download or read book The Elements of Logic written by and published by . This book was released on 1947 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introducing Symbolic Logic

Author : Robert M. Martin
Publisher : Broadview Press
ISBN 13 : 9781551116358
Total Pages : 274 pages
Book Rating : 4.1/5 (163 download)

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Book Synopsis Introducing Symbolic Logic by : Robert M. Martin

Download or read book Introducing Symbolic Logic written by Robert M. Martin and published by Broadview Press. This book was released on 2004-05-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic Works

Author : Lorne Falkenstein
Publisher : Routledge
ISBN 13 : 1000451275
Total Pages : 666 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Logic Works by : Lorne Falkenstein

Download or read book Logic Works written by Lorne Falkenstein and published by Routledge. This book was released on 2021-11-30 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies

Elements of Symbolic Logic

Author : Hans Reichenbach
Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elements of Symbolic Logic by : Hans Reichenbach

Download or read book Elements of Symbolic Logic written by Hans Reichenbach and published by . This book was released on 1947 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Elements of Arguments: An Introduction to Critical Thinking and Logic

Author : Philip Turetzky
Publisher : Broadview Press
ISBN 13 : 146040646X
Total Pages : 338 pages
Book Rating : 4.4/5 (64 download)

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Book Synopsis The Elements of Arguments: An Introduction to Critical Thinking and Logic by : Philip Turetzky

Download or read book The Elements of Arguments: An Introduction to Critical Thinking and Logic written by Philip Turetzky and published by Broadview Press. This book was released on 2019-04-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Elements of Arguments introduces such central critical thinking topics as informal fallacies, the difference between validity and truth, basic formal propositional logic, and how to extract arguments from texts. Turetzky aims to prevent common confusions by clearly explaining a number of important distinctions, including propositions vs. propositional attitudes, propositions vs. states of affairs, and logic vs. rhetoric vs. psychology. Exercises are provided throughout, including numerous informal arguments that can be assessed using the skills and strategies presented within the text.

An Introduction to Formal Logic

Author : Peter Smith
Publisher : Cambridge University Press
ISBN 13 : 1107494583
Total Pages : 370 pages
Book Rating : 4.1/5 (74 download)

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Book Synopsis An Introduction to Formal Logic by : Peter Smith

Logic as a Liberal Art

Author : R. E. Houser
Publisher : Catholic University of America Press
ISBN 13 : 0813232341
Total Pages : 481 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Logic as a Liberal Art by : R. E. Houser

Download or read book Logic as a Liberal Art written by R. E. Houser and published by Catholic University of America Press. This book was released on 2019-12-10 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.

Introduction to Logic

Author : Alfred Tarski
Publisher : Courier Corporation
ISBN 13 : 0486318893
Total Pages : 272 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introduction to Logic by : Alfred Tarski

Download or read book Introduction to Logic written by Alfred Tarski and published by Courier Corporation. This book was released on 2013-07-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.

Elements of Logical Reasoning

Author : Jan von Plato
Publisher : Cambridge University Press
ISBN 13 : 1139867768
Total Pages : 275 pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis Elements of Logical Reasoning by : Jan von Plato

Download or read book Elements of Logical Reasoning written by Jan von Plato and published by Cambridge University Press. This book was released on 2014-01-23 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.

The Traditional Formal Logic

Author : Taylor & Francis Group
Publisher : Routledge
ISBN 13 : 9780367426293
Total Pages : 110 pages
Book Rating : 4.4/5 (262 download)

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Book Synopsis The Traditional Formal Logic by : Taylor & Francis Group

Download or read book The Traditional Formal Logic written by Taylor & Francis Group and published by Routledge. This book was released on 2021-03-31 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1937. A short account of the traditional logic, intended to provide the student with the fundamentals necessary for the specialized study. Suitable for working through individualy, it will provide sufficient knowledge of the elements of the subject to understand materials on more advanced and specialized topics. This is an interesting historic perspective on this area of philosophy and mathematics.