A Primer In Formal Logic

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Logic Primer, third edition

Author : Colin Allen
Publisher : MIT Press
ISBN 13 : 0262543648
Total Pages : 175 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Logic Primer, third edition by : Colin Allen

Download or read book Logic Primer, third edition written by Colin Allen and published by MIT Press. This book was released on 2022-02-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of a comprehensive and rigorous but concise introduction to symbolic logic. Logic Primer offers a comprehensive and rigorous introduction to symbolic logic, providing concise definitions of key concepts, illustrative examples, and exercises. After presenting the definitions of validity and soundness, the book goes on to introduce a formal language, proof theory, and formal semantics for sentential logic (chapters 1–3) and for first-order predicate logic (chapters 4–6) with identity (chapter 7). For this third edition, the material has been reorganized from four chapters into seven, increasing the modularity of the text and enabling teachers to choose alternative paths through the book. New exercises have been added, and all exercises are now arranged to support students moving from easier to harder problems. Its spare and elegant treatment makes Logic Primer unique among textbooks. It presents the material with minimal chattiness, allowing students to proceed more directly from topic to topic and leaving instructors free to cover the subject matter in the way that best suits their students. The book includes more than thirty exercise sets, with answers to many of them provided in an appendix. The book’s website allows students to enter and check proofs, truth tables, and other exercises interactively.

Sentence logic

Author : Paul Teller
Publisher :
ISBN 13 : 9780139031700
Total Pages : 0 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Sentence logic by : Paul Teller

Download or read book Sentence logic written by Paul Teller and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-volume introduction to formal logic. Volume I presents sentence logic and Volume II covers predicate logic and metatheory. Features easy-to-understand explanations and graded exercises.

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.

Predicate logic and metatheory

Author : Paul Teller
Publisher :
ISBN 13 : 9780139031960
Total Pages : 304 pages
Book Rating : 4.0/5 (319 download)

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Book Synopsis Predicate logic and metatheory by : Paul Teller

Download or read book Predicate logic and metatheory written by Paul Teller and published by . This book was released on 1989 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic Primer

Author : Elihu Carranza
Publisher : Createspace Independent Pub
ISBN 13 : 9781479116379
Total Pages : 150 pages
Book Rating : 4.1/5 (163 download)

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Book Synopsis Logic Primer by : Elihu Carranza

Download or read book Logic Primer written by Elihu Carranza and published by Createspace Independent Pub. This book was released on 2012-08-31 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Primer is a classroom and laboratory for students engaged in the study of logic. From the writings of Dr. Gordon H. Clark, logic is defined as "the science of necessary inference." The Primer divides into seven chapters. Chapter 1 defines necessary basic terms to enable the reader to begin the investigation. Chapter 2 describes the four standard propositional forms, their formal properties, and methods for translating nonstandard into standard form propositions. Chapter 3 discusses immediate inferences. Chapter 4 examines the syllogism by describing its elements, valid moods and figures, and methods for determining validity. Chapter 5 introduces the student to additional valid argument forms and two important formal fallacies. Chapter 6 covers truth-table analyses of extended arguments. Chapter 7 examines informal fallacies, their classification, and the need for strict definition as a means for avoiding informal fallacies. Each chapter ends with questions for review and exercises to test the student's progress. Exercises/Answers are provided in an Appendix. A glossary of terms with corresponding chapter numbers serves as an index.

Force of Logic

Author : Stephen M. Rice
Publisher : Aspen Publishing
ISBN 13 : 1601566107
Total Pages : 429 pages
Book Rating : 4.6/5 (15 download)

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Book Synopsis Force of Logic by : Stephen M. Rice

Download or read book Force of Logic written by Stephen M. Rice and published by Aspen Publishing. This book was released on 2017-05-03 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever read a legal opinion and come across an odd term like the fallacy of denying the antecedent, the fallacy of the undistributed middle, or the fallacy of the illicit process and wondered how you missed that in law school? You’re not alone: every day, lawyers make arguments that fatally trespass the rules of formal logic—without realizing it—because traditional legal education often overlooks imparting the practical wisdom of ancient philosophy as it teaches students how to “think like a lawyer.” In his book, The Force of Logic: Using Formal Logic as a Tool in the Craft of Legal Argument, lawyer and law professor Stephen M. Rice guides you to develop your powers of legal reasoning in a new way, through effective tips and tactics that will forever change the way you argue your cases. Rice contends that formal logic provides tools that help lawyers distinguish good arguments from bad ones and, moreover, that they are simple to learn and use. When you know how to recognize logical fallacies, you will not only strengthen your own arguments, but you will also be able to punch holes in your opponent’s—and that can make the difference between winning and losing. In this book, Rice builds on the theoretical foundation of formal logic by demonstrating logical fallacies through the use of anecdotes, examples, graphical illustrations, and exercises for you to try that are derived from common case documents. It is a hands-on primer that presents a practical approach for understanding and mastering the place of formal logic in the art of legal reasoning. Whether you are a lawyer, a judge, a scholar, or a student, The Force of Logic will inspire you to love legal argument, and appreciate its beauty and complexity in a brand new way.

Logic for Philosophy

Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Logic for Philosophy by : Theodore Sider

Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

Forall X

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

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Book Synopsis Forall X by : P. D. Magnus

Download or read book Forall X written by P. D. Magnus and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Primer of Probability Logic

Author : Ernest Wilcox Adams
Publisher : Stanford Univ Center for the Study
ISBN 13 : 9781575860664
Total Pages : 376 pages
Book Rating : 4.8/5 (66 download)

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Book Synopsis A Primer of Probability Logic by : Ernest Wilcox Adams

Download or read book A Primer of Probability Logic written by Ernest Wilcox Adams and published by Stanford Univ Center for the Study. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant to be a primer, that is an introduction, to probability logic, a subject that appears to be in its infancy. Probability logic is a subject envisioned by Hans Reichenbach and largely created by Adams. It treats conditionals as bearers of conditional probabilities and discusses an appropriate sense of validity for arguments such conditionals, as well as ordinary statements as premises. This is a clear well written text on the subject of probability logic, suitable for advanced undergraduates or graduates, but also of interest to professional philosophers. There are well thought out exercises, and a number of advanced topics treated in appendices, while some are brought up in exercises and some are alluded to only in footnotes. By this means it is hoped that the reader will at least be made aware of most of the important ramifications of the subject and its tie-ins with current research, and will have some indications concerning recent and relevant literature.

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 : Harry J Gensler
Publisher : Routledge
ISBN 13 : 1136994521
Total Pages : 510 pages
Book Rating : 4.1/5 (369 download)

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Book Synopsis Introduction to Logic by : Harry J Gensler

Download or read book Introduction to Logic written by Harry J Gensler and published by Routledge. This book was released on 2012-08-06 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: • simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms • a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book) • engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers • a suitability for self-study and for preparation for standardized tests, like the LSAT • a reasonable price (a third of the cost of many competitors) • exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: • arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty • provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic • expands the section on informal fallacies • includes a more exhaustive index and a new appendix on suggested further readings • updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.

A Semantic Web Primer, third edition

Author : Grigoris Antoniou
Publisher : MIT Press
ISBN 13 : 0262018284
Total Pages : 287 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis A Semantic Web Primer, third edition by : Grigoris Antoniou

Download or read book A Semantic Web Primer, third edition written by Grigoris Antoniou and published by MIT Press. This book was released on 2012-08-24 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the widely used guide to the key ideas, languages, and technologies of the Semantic Web The development of the Semantic Web, with machine-readable content, has the potential to revolutionize the World Wide Web and its uses. A Semantic Web Primer provides an introduction and guide to this continuously evolving field, describing its key ideas, languages, and technologies. Suitable for use as a textbook or for independent study by professionals, it concentrates on undergraduate-level fundamental concepts and techniques that will enable readers to proceed with building applications on their own and includes exercises, project descriptions, and annotated references to relevant online materials. The third edition of this widely used text has been thoroughly updated, with significant new material that reflects a rapidly developing field. Treatment of the different languages (OWL2, rules) expands the coverage of RDF and OWL, defining the data model independently of XML and including coverage of N3/Turtle and RDFa. A chapter is devoted to OWL2, the new W3C standard. This edition also features additional coverage of the query language SPARQL, the rule language RIF and the possibility of interaction between rules and ontology languages and applications. The chapter on Semantic Web applications reflects the rapid developments of the past few years. A new chapter offers ideas for term projects. Additional material, including updates on the technological trends and research directions, can be found at http://www.semanticwebprimer.org.

Three Views of Logic

Author : Donald W. Loveland
Publisher : Princeton University Press
ISBN 13 : 140084875X
Total Pages : 344 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Three Views of Logic by : Donald W. Loveland

Download or read book Three Views of Logic written by Donald W. Loveland and published by Princeton University Press. This book was released on 2014-01-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

Elementary Symbolic Logic

Author : William Gustason
Publisher : Waveland Press
ISBN 13 : 1478608889
Total Pages : 367 pages
Book Rating : 4.4/5 (786 download)

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Book Synopsis Elementary Symbolic Logic by : William Gustason

Download or read book Elementary Symbolic Logic written by William Gustason and published by Waveland Press. This book was released on 1989-01-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A First Course in Mathematical Logic and Set Theory

Author : Michael L. O'Leary
Publisher : John Wiley & Sons
ISBN 13 : 1118548019
Total Pages : 464 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis A First Course in Mathematical Logic and Set Theory by : Michael L. O'Leary

Download or read book A First Course in Mathematical Logic and Set Theory written by Michael L. O'Leary and published by John Wiley & Sons. This book was released on 2015-09-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.

Mathematical Logic

Author : Stephen Cole Kleene
Publisher : Courier Corporation
ISBN 13 : 0486317072
Total Pages : 436 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematical Logic by : Stephen Cole Kleene

Download or read book Mathematical Logic written by Stephen Cole Kleene and published by Courier Corporation. This book was released on 2013-04-22 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

A First Course in Logic

Author : Mark Verus Lawson
Publisher : CRC Press
ISBN 13 : 135117536X
Total Pages : 238 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis A First Course in Logic by : Mark Verus Lawson

Download or read book A First Course in Logic written by Mark Verus Lawson and published by CRC Press. This book was released on 2018-12-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order, logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words, basic algebra. Anyone who can write programs should have this ability.