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    Fundamental Methods of Logic

    (3 reviews)

    Matthew Knachel, University of Wisconsin - Milwaukee

    Copyright Year:

    ISBN 13: 9780996150224

    Publisher: A.T. Still University

    Language: English

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    CC BY


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    Reviewed by Maureen Sander-Staudt, Professor, Minnesota West Community & Technical College on 12/28/22

    The book covers introductory logic exceptionally well. It would be a good introduction to critical thinking, inductive logic, and the basics of deductive logic. It covers the basics of arguments, logical fallacies, Aristotelian logic, sentential... read more

    Reviewed by Michael Reno, Lecturer of Philosophy, University of Mary Washington on 4/25/19

    In its intended aims, the book is comprehensive. For example, in presenting a system of sentential logic, it gives a complete set of operators and a method for determining validity of arguments using the system. This would work well for a course... read more

    Reviewed by James Summerford, Associate Professor, Ohio University - Lancaster on 2/1/18

    This text is very well suited to the sort of Introduction to Logic course taught at most state universities. It begins with basic concepts in Logic and then follows up with sections on inductive arguments, categorical logic, truth functionality... read more

    Table of Contents

    Chapter 1 - The Basics of Logical Analysis

    • I. What is Logic?
    • II. Basic Notions: Propositions and Arguments
    • III. Recognizing and Explicating Arguments
    • IV. Deductive and Inductive Arguments
    • V. Diagramming Arguments

    Chapter 2 - Informal Logical Fallacies

    • I. Logical Fallacies: Formal and Informal
    • II. Fallacies of Distraction
    • III. Fallacies of Weak Induction
    • IV. Fallacies of Illicit Presumption
    • V. Fallacies of Linguistic Emphasis

    Chapter 3 – Deductive Logic I: Aristotelian Logic

    • I. Deductive Logics
    • II. Classes and Categorical Propositions
    • III. The Square of Opposition
    • IV. Operations on Categorical Sentences
    • V. Problems with the Square of Opposition
    • VI. Categorical Syllogisms

    Chapter 4 – Deductive Logic II: Sentential Logic

    • I. Why Another Deductive Logic?
    • II. Syntax of SL
    • III. Semantics of SL
    • IV. Translating from English into SL
    • V. Testing for Validity in SL

    Chapter 5 – Inductive Logic I: Analogical and Causal Arguments

    • I. Inductive Logics
    • II. Arguments from Analogy
    • III. Causal Reasoning

    Chapter 6 – Inductive Logic II: Probability and Statistics

    • I. The Probability Calculus
    • II. Probability and Decision-Making: Value and Utility
    • III. Probability and Belief: Bayesian Reasoning
    • IV. Basic Statistical Concepts and Techniques
    • V. How to Lie with Statistics

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    About the Book

    Fundamental Methods of Logic is suitable for a one-semester introduction to logic/critical reasoning course. It covers a variety of topics at an introductory level. Chapter One introduces basic notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and diagramming arguments. Chapter Two discusses informal logical fallacies. Chapters Three and Four concern deductive logic, introducing the basics of Aristotelian and Sentential Logic, respectively. Chapter Five deals with analogical and causal reasoning, including a discussion of Mill's Methods. Chapter Six covers basic probability calculations, Bayesian inference, fundamental statistical concepts and techniques, and common statistical fallacies.

    About the Contributors


    Matthew Knachel is a Senior Lecturer in the Philosophy department at University of Wisconsin - Milwaukee, Milwaukee, WI.

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