Introduction To Traditional Logic

  introduction to traditional logic: An Introduction to Traditional Logic Scott M. Sullivan, 2005-10 A textbook for high school and university students on traditional logic.
  introduction to traditional logic: Introduction to Logic Jason Lisle, 2018-11-27 Logic is the study of the principles of correct reasoning. That is its definition. To be logical is to think rightly, and to draw reasonable conclusions from the available information.Why does logic matter, and who decides what is the right way to think?If two people disagree on whether something is reasonable, who is correct?What is the standard by which we judge a particular line of reasoning to be correct or incorrect?In the Christian worldview, we can answer these questions because we know that God determines the correct way to reason. He is the standard for all truth claims. In this book you will learn about logic and the Christian worldview, the Biblical basis for the laws of logic, if faith is contrary to reason, informal logical fallacies, and more.
  introduction to traditional logic: Traditional Logic 1 Martin Cothran, 2000-01-01
  introduction to traditional logic: Logic Mary Michael Spangler, 1993 This book is based on the natural patterns of human thinking as analyzed in Aristotle's formal logic. As an introductory text for either the undergraduate or high school student, it presents only the basic rules needed for defining, judging, and reasoning. The author carefully outlines her presentations and provides familiar illustrations. The book also contains numerous exercises which utilize well-known topics.
  introduction to traditional logic: Principles of Logic George Hayward Joyce, 1908 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.
  introduction to traditional logic: Forall X P. D. Magnus, 2018-07-25 Forall x 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. Throughout the book, I have tried to highlight the choices involved in developing sentential and predicate logic. Students should realize that these two are not the only possible formal languages. In translating to a formal language, we simplify and profit in clarity. The simplification comes at a cost, and different formal languages are suited to translating different parts of natural language. The book is designed to provide a semester's worth of material for an introductory college course. It would be possible to use the book only for sentential logic, by skipping chapters 4-5 and parts of chapter 6--Open Textbook Library
  introduction to traditional logic: The Structure of Aristotelian Logic James Wilkinson Miller, 2015-08-14 Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.
  introduction to traditional logic: A Concise Introduction to Logic Craig DeLancey, 2017-02-06
  introduction to traditional logic: Meaning and Argument Ernest Lepore, Sam Cumming, 2012-09-14 Meaning and Argument is a popular introduction to philosophy of logic and philosophy of language. Offers a distinctive philosophical, rather than mathematical, approach to logic Concentrates on symbolization and works out all the technical logic with truth tables instead of derivations Incorporates the insights of half a century's work in philosophy and linguistics on anaphora by Peter Geach, Gareth Evans, Hans Kamp, and Irene Heim among others Contains numerous exercises and a corresponding answer key An extensive appendix allows readers to explore subjects that go beyond what is usually covered in an introductory logic course Updated edition includes over a dozen new problem sets and revisions throughout Features an accompanying website at http://ruccs.rutgers.edu/~logic/MeaningArgument.html
  introduction to traditional logic: An Introduction to Logic David Mitchell, 1962
  introduction to traditional logic: A Concise Introduction to Mathematical Logic Wolfgang Rautenberg, 2006-09-28 While there are already several well known textbooks on mathematical logic this book is unique in treating the material in a concise and streamlined fashion. This allows many important topics to be covered in a one semester course. Although the book is intended for use as a graduate text the first three chapters can be understood by undergraduates interested in mathematical logic. The remaining chapters contain material on logic programming for computer scientists, model theory, recursion theory, Godel’s Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text.
  introduction to traditional logic: A Concise Introduction to Mathematical Logic Wolfgang Rautenberg, 2010-07-01 Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
  introduction to traditional logic: Socratic Logic 3e Pbk Peter Kreeft, 2010-01-12 Symbolic logic may be superior to classical Aristotelian logic for the sciences, but not for the humanities. This text is designed for do-it-yourselfers as well as classrooms.
  introduction to traditional logic: Introduction to Logic Irving M. Copi, Carl Cohen, Kenneth McMahon, 2016-09-09 Introduction to Logic is a proven textbook that has been honed through the collaborative efforts of many scholars over the last five decades. Its scrupulous attention to detail and precision in exposition and explanation is matched by the greatest accuracy in all associated detail. In addition, it continues to capture student interest through its personalized human setting and current examples. The 14th Edition of Introduction to Logic, written by Copi, Cohen & McMahon, is dedicated to the many thousands of students and their teachers - at hundreds of universities in the United States and around the world - who have used its fundamental methods and techniques of correct reasoning in their everyday lives.
  introduction to traditional logic: Logic and Philosophy William H. Brenner, 2016-08-30 The dual purpose of this volume--to provide a distinctively philosophical introduction to logic, as well as a logic-oriented approach to philosophy--makes this book a unique and worthwhile primary text for logic and/or philosophy courses. Logic and Philosophy covers a variety of elementary formal and informal types of reasoning, including a chapter on traditional logic that culminates in a treatment of Aristotle's philosophy of science; a truth-functional logic chapter that examines Wittgenstein's philosophy of language, logic, and mysticism; and sections on induction, analogy, and fallacies that incorporate material on mind-body dualism, pseudoscience, the raven paradox, and proofs of God.
  introduction to traditional logic: Simple Formal Logic Arnold vander Nat, 2010-03-05 Perfect for students with no background in logic or philosophy, Simple Formal Logic provides a full system of logic adequate to handle everyday and philosophical reasoning. By keeping out artificial techniques that aren’t natural to our everyday thinking process, Simple Formal Logic trains students to think through formal logical arguments for themselves, ingraining in them the habits of sound reasoning. Simple Formal Logic features: a companion website with abundant exercise worksheets, study supplements (including flashcards for symbolizations and for deduction rules), and instructor’s manual two levels of exercises for beginning and more advanced students a glossary of terms, abbreviations and symbols. This book arose out of a popular course that the author has taught to all types of undergraduate students at Loyola University Chicago. He teaches formal logic without the artificial methods–methods that often seek to solve farfetched logical problems without any connection to everyday and philosophical argumentation. The result is a book that teaches easy and more intuitive ways of grappling with formal logic–and is intended as a rigorous yet easy-to-follow first course in logical thinking for philosophy majors and non-philosophy majors alike.
  introduction to traditional logic: A Profile of Mathematical Logic Howard DeLong, 2004-06-17 Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly examines the nature of logic and its philosophical implications. No prior knowledge of logic is necessary; readers need only an acquaintance with high school mathematics. The author emphasizes understanding, rather than technique, and focuses on such topics as the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic after more than 2,000 years of traditional logic, the nature of the formal axiomatic method and the reasons for its use, and the main results of metatheory and their philosophic import. The treatment of the Gödel metatheorems is especially detailed and clear, and answers to the problems appear at the end.
  introduction to traditional logic: Introduction to Higher-Order Categorical Logic J. Lambek, P. J. Scott, 1988-03-25 Part I indicates that typed-calculi are a formulation of higher-order logic, and cartesian closed categories are essentially the same. Part II demonstrates that another formulation of higher-order logic is closely related to topos theory.
  introduction to traditional logic: Philosophical Logic John MacFarlane, 2020-11-29 Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course. The book explores the following questions. Are there quantificational idioms that cannot be expressed with the familiar universal and existential quantifiers? How can logic be extended to capture modal notions like necessity and obligation? Does the material conditional adequately capture the meaning of 'if'—and if not, what are the alternatives? Should logical consequence be understood in terms of models or in terms of proofs? Can one intelligibly question the validity of basic logical principles like Modus Ponens or Double Negation Elimination? Is the fact that classical logic validates the inference from a contradiction to anything a flaw, and if so, how can logic be modified to repair it? How, exactly, is logic related to reasoning? Must classical logic be revised in order to be applied to vague language, and if so how? Each chapter is organized around suggested readings and includes exercises designed to deepen the reader's understanding. Key Features: An integrated treatment of the technical and philosophical issues comprising philosophical logic Designed to serve students taking only one course in logic beyond the introductory level Provides tools and concepts necessary to understand work in many areas of analytic philosophy Includes exercises, suggested readings, and suggestions for further exploration in each chapter
  introduction to traditional logic: Introduction to Logic and Critical Thinking Merrilee H. Salmon, 1989
  introduction to traditional logic: Traditional Logic I ,
  introduction to traditional logic: The Boundary Stones of Thought Ian Rumfitt, 2015-03-26 The Boundary Stones of Thought seeks to defend classical logic from a number of attacks of a broadly anti-realist character. Ian Rumfitt is sympathetic to many of the premisses underlying these attacks. Indeed, he regards some of them as effective challenges to certain principles of classical semantics, notably the Principle of Bivalence. He argues, though, that they are ineffective against classical logic itself. The book starts by considering the general problem of how conflicts over logical laws may be rationally discussed and adjudicated. This leads to a consideration of the nature of logic: Rumfitt identifies the particular features that mark out logical consequence from other consequence relations, and he advances a new argument for the ancient thesis that there is a modal element in the notion of logical consequence. He develops a theory of that modal element in terms of perhaps incomplete possibilities, rather than fully determinate possible worlds. Some prima facie powerful arguments against the validity of certain classical logical laws are then analysed in the light of this account of logic. Throughout, care is taken to separate lines of anti-classical argument that, although distinct, are often run together or confused. The analysis yields, as by-products, semantic theories for a number of problematical areas of discourse. These areas include our talk about sub-atomic particles, about the infinite, about infinitesimals, about sets, and vague discourse. Rumfitt concludes by defending his stance of accepting classical logic while rejecting Bivalence, against Aristotle's argument that a classical logician is committed to Bivalence. The ultimate aim is to liberate classical logic from the dead hand of classical semantics.
  introduction to traditional logic: Logic: A Very Short Introduction Graham Priest, 2000-10-12 Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
  introduction to traditional logic: Essential Logic for Computer Science Rex Page, Ruben Gamboa, 2019-01-08 An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.
  introduction to traditional logic: An Introduction to Logic - Second Edition Richard T.W. Arthur, 2016-11-30 In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python. A previous edition of this book appeared under the title Natural Deduction. This new edition adds clarifications of the notions of explanation, validity and formal validity, a more detailed discussion of derivation strategies, and another rule of inference, Reiteration.
  introduction to traditional logic: Aristotle's Material Logic Martin Cothran, Memoria Press, 2004-12-21 What are the ten ways in which something can be said to exist? What are the five ways in which something can be said of something else? What are the four questions you must answer in order to really know something? In ancient and medieval times, the answers to these questions were common currency among thinking people. When most people think of logic, they think of formal logic the study of the structure or form of reasoning. But what most educators don t realize is that formal logic is only one part of a complete logic program. The other branch of logic study was called material logic, and focused, not on the form of reasoning, but on its content. In short, while formal logic studied the how of reasoning, material logic studied the what. There is a huge gap between formal logic courses and so-called thinking skills courses. Formal logic focuses exclusively on the systematic study of the structure of reasoning. That is important, but it hardly covers all you need to know to reason effectively. Thinking skills courses, on the other hand, tend to suffer from a highly nonsystematic topic-hopping approach, where the student is unable to see how one principle connects with another. With the publication of Material Logic: A Traditional Approach to Thinking Skills, these ancient techniques are a lost art no more. Whether you want a follow-on course to Memoria Press s popular Traditional Logic program, or simply an introductory thinking skills course for high school grades, this new addition to Memoria Press s widely acclaimed Classical Trivium Core Series is a valuable tool in teaching your student to think. Material Logic is designed to ease the job of the teacher or parent with straightforward explanations, an easy to read text layout, and digestible daily exercise sets. It can be used as either a one-semester or one-year course. Consumable. Grades 9-12.
  introduction to traditional logic: Critical Thinking Francis Watanabe Dauer, 1989 A demanding introduction to logic and critical thinking, this book offers more traditional means of teaching the art of reasoning at a time when the field has become almost mathematical. Francis Dauer has rethought the framework for teaching reasoning in general and formal logic in particular, the desired epistemological context, and the role of the fallacies. The result is a coherent and very readable work, informed by Dauer's extensive experience teaching and writing on the subject.
  introduction to traditional logic: The Logic Book Merrie Bergmann, James Moor, Jack Nelson, 2008-07-30 This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
  introduction to traditional logic: Introduction to Logic Paul Herrick, 2012-05-17 This is a comprehensive introduction to the fundamentals of logic (both formal logic and critical reasoning), with exceptionally clear yet conversational explanations and a multitude of engaging examples and exercises. Herrick's examples are on-point and fun, often bringing in real-life situations and popular culture. And more so than other logic textbooks, Introduction to Logic brings in the history of philosophy and logic through interesting boxes/sidebars and discussions, showing logic's relation to philosophy.
  introduction to traditional logic: Choice and Chance Brian Skyrms, 1975
  introduction to traditional logic: A Concise Introduction to Logic Patrick J. Hurley, 2007-10 Tens of thousands of students have learned to be more discerning at constructing and evaluating arguments with the help of Patrick J. Hurley. Hurley's lucid, friendly, yet thorough presentation has made A CONCISE INTRODUCTION TO LOGIC the most widely used logic text in North America. In addition, the book's accompanying technological resources, such as CengageNOW and Learning Logic, include interactive exercises as well as video and audio clips to reinforce what you read in the book and hear in class. In short, you'll have all the assistance you need to become a more logical thinker and communicator.
  introduction to traditional logic: The Power of Logic 6e Frances Howard-Snyder, HOWARD-SNYDER, Ryan Wasserman, 2019-07-25 This edition of The Power of Logic offers an introduction to informal logic, traditional categorical logic, and modern symbolic logic. The authors' direct and accessible writing style, along with a wealth of engaging examples and challenging exercises, makes this an ideal text for today's logic classes. Instructors and students can now access their course content through the Connect digital learning platform by purchasing either standalone Connect access or a bundle of print and Connect access. McGraw-Hill Connect® is a subscription-based learning service accessible online through your personal computer or tablet. Choose this option if your instructor will require Connect to be used in the course. Your subscription to Connect includes the following: * SmartBook® - an adaptive digital version of the course textbook that personalizes your reading experience based on how well you are learning the content. * Access to your instructor's homework assignments, quizzes, syllabus, notes, reminders, and other important files for the course. * Progress dashboards that quickly show how you are performing on your assignments and tips for improvement. * The option to purchase (for a small fee) a print version of the book. This binder-ready, loose-leaf version includes free shipping. Complete system requirements to use Connect can be found here: http://www.mheducation.com/highered/platforms/connect/training-support-students.html
  introduction to traditional logic: Logic Stan Baronett, 2008
  introduction to traditional logic: Terms and Classes Robert G. Meyers, 1991
  introduction to traditional logic: Reason and Argument Richard Feldman, 2013-10-03 This text presents a clear and philosophically sound method for identifying, interpreting, and evaluating arguments as they appear in non-technical sources. It focuses on a more functional, real-world goal of argument analysis as a tool for figuring out what is reasonable to believe rather than as an instrument of persuasion. Methods are illustrated by applying them to arguments about different topics as they appear in a variety of contexts — e.g., newspaper editorials and columns, short essays, informal reports of scientific results, etc.
  introduction to traditional logic: Wittgenstein on Logic as the Method of Philosophy Oskari Kuusela, 2019 Oskari Kuusela explores Wittgenstein's account of logic in the context of the history of analytic philosophy. He presents Wittgenstein as developing the logical-philosophical approaches of his contemporaries and credits him with resolving the long-standing dispute between the ideal language and ordinary language schools of analytic philosophy.
  introduction to traditional logic: Traditional Logic Oriare Nyarwath, 2007
  introduction to traditional logic: An Introduction to Traditional Logic Joseph M. Nyasani, 1982 This book is designed to meet a growing demand for a simple yet comprehensive text in logic that can satisfy not only the student of logic but also the student of related disciplines in his quest for the command of a systematic thinking and a quick lucid expression of his own ideas. In order to achieve this goal, the book suggests a variety of methods and techniques of discerning between correct and incorrect modes of reasoning. Lawyers, journalists, politicians and all those who aspire for the skill of rhetoric will certainly find it an invaluable companion.
  introduction to traditional logic: Traditional Logic : Book 1 Martin Cothran, 2000
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