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T. Ryan Byerly - Introducing Logic and Critical Thinking: The Skills of Reasoning and the Virtues of Inquiry

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T. Ryan Byerly Introducing Logic and Critical Thinking: The Skills of Reasoning and the Virtues of Inquiry
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This textbook for classes in logic introduces students to both the skills of deductive and inductive logic as well as the virtues of intellectual inquiry.

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Cover
Title Page
Copyright Page

2017 by T. Ryan Byerly

Published by Baker Academic

a division of Baker Publishing Group

PO Box 6287, Grand Rapids, MI 49516-6287

www.bakeracademic.com

Ebook edition created 2017

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any meansfor example, electronic, photocopy, recordingwithout the prior written permission of the publisher. The only exception is brief quotations in printed reviews.

Library of Congress Cataloging-in-Publication Data is on file at the Library of Congress, Washington, DC.

ISBN 978-1-4934-1080-4

Scripture quotations are from The Holy Bible, English Standard Version (ESV), copyright 2001 by Crossway, a publishing ministry of Good News Publishers. Used by permission. All rights reserved. ESV Text Edition: 2011

Visit www.bakeracademic.com/professors to access study aids and instructor materials for this textbook.

Contents

Cover

Title Page

Copyright Page

Preface for Instructors

Part 1: The Skills of Reasoning

1. Introduction to Arguments

1.1 Arguments vs. Nonarguments

1.1.1 Statements: The Building Blocks of Arguments

1.1.2 The Construction of Arguments: Premise and Conclusion Indicators

1.1.3 Arguments vs. Nonarguments

1.1.4 Summary

Exercise 1.1

1.2 Evaluating Arguments

1.2.1 Evaluating Arguments in Two Steps

1.2.2 Key Evaluative Features: Validity, Invalidity, Soundness, Unsoundness

1.2.3 Key Evaluative Features: Strength, Weakness, Cogency, Uncogency

1.2.4 Relationships between Key Evaluative Features

1.2.5 Summary

Exercise 1.2

2. Deductive Logic

2.1 Famous Forms Method

2.1.1 Identifying Argument Forms

2.1.2 Famous Valid Argument Forms

2.1.3 Using the Famous Forms Method Effectively

2.1.4 Summary

Exercise 2.1

2.2 Counterexample Method

2.2.1 Identifying Argument Forms

2.2.2 Providing Good Counterexamples

2.2.3 Using the Counterexample Method Effectively

2.2.4 Summary

Exercise 2.2

2.3 Venn Diagram Method

2.3.1 Evaluating Categorical Syllogisms with Venn Diagrams

2.3.2 Transforming Arguments into Categorical Syllogisms

2.3.3 Summary

Exercise 2.3

2.4 Proof Method

2.4.1 The Symbols of the Proof Method

2.4.2 Constructing Proofs

2.4.3 Summary

Exercise 2.4

2.5.1 New Symbols of the Expanded Proof Method

2.5.2 New Inference Rules of the Expanded Proof Method

2.5.3 Summary

Exercise 2.5

3. Inductive Logic

3.1 Statistical Syllogism

3.1.1 Identifying Statistical Syllogisms

3.1.2 Evaluating Statistical Syllogisms for Strength

3.1.3 Summary

Exercise 3.1

3.2 Induction by Enumeration

3.2.1 Key Features of Induction by Enumeration

3.2.2 Evaluating Induction by Enumeration for Strength

3.2.3 Combining Induction by Enumeration and Statistical Syllogism

3.2.4 Summary

Exercise 3.2

3.3 Arguments from Authority

3.3.1 Authorities, Assertion, and What Is Asserted

3.3.2 Evaluating Arguments from Authority

3.3.3 Complex Arguments Using Arguments from Authority

3.3.4 Summary

Exercise 3.3

3.4 Arguments from Analogy

3.4.1 Identifying Arguments from Analogy

3.4.2 Evaluating Arguments from Analogy

3.4.3 Summary

Exercise 3.4

3.5 Inference to the Best Explanation

3.5.1 Key Features of Inferences to the Best Explanation

3.5.2 Evaluating Inferences to the Best Explanation

3.5.3 Summary

Exercise 3.5

Part 2: The Virtues of Inquiry

4. Internal Virtues

4.1 Love of Intellectual Excellence

4.1.1 The Imperatives of Loving Intellectual Excellence

4.1.2 Vices of Intellectual Motivation

4.1.3 Summary

Exercise 4.1

4.2 Intellectual Courage and Caution

4.2.1 Navigating Obstacles to Inquiry

4.2.2 Courage, Caution, and Opposing Vices

4.2.3 Summary

Exercise 4.2

4.3 Introspective Vigilance

4.3.1 Bad Patterns of Inquiry and Their Remedies

4.3.2 Vigilance, Aloofness, and Arrogance

4.3.3 Summary

Exercise 4.3

5. Virtues of Intellectual Dependence

5.1 Trust

5.1.1 The Nature and Value of Trust

5.1.2 Credulity, Condescension, and Injustice

5.1.3 Summary

Exercise 5.1

5.2.1 The Nature and Value of Interpretive Charity

5.2.2 Interpretive Stinginess and Interpretive Face Blindness

5.2.3 Summary

Exercise 5.2

5.3 Intellectual Empathy

5.3.1 The Nature of Intellectual Empathy

5.3.2 Obstacles to Intellectual Empathy

5.3.3 Summary

Exercise 5.3

6. Virtues of Intellectual Dependability

6.1 Intellectual Generosity

6.1.1 The Foundations and Key Features of Intellectual Generosity

6.1.2 Vices Opposed to Intellectual Generosity

6.1.3 Summary

Exercise 6.1

6.2 Communicative Clarity

6.2.1 Confusing Words and Grammar

6.2.2 Confusing Structures

6.2.3 Summary

Exercise 6.2

6.3 Audience Sensitivity

6.3.1 Four Features of an Audience

6.3.2 Vices Opposed to Audience Sensitivity

6.3.3 Summary

Exercise 6.3

Appendix: Argument Forms and Proof Rules

Notes

Glossary of Key Terms

Bibliography

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Back Cover

Preface for Instructors

I t has become increasingly common for both Christian and non-Christian colleges and universities to offer and even require what we might call courses in Logic and courses the formal titles of which typically begin with the words Logic and and end with something after the and. Often what is included after the and is Critical Thinking, though this is not universal. In any case, the expectation is that in courses of these kinds, students will learn about logic and they will learn about something else. What else they learn appears to vary widely from one institution to another and from one instructor to another.

When I have taught courses of this kind, I have thought that a very suitable subject to include for my studentsin addition to logicwould be an introduction to intellectual virtues. The course would provide them both with the reasoning skills of formal logic and with an opportunity to reflect on, and even attempt to cultivate, virtues of inquiry. One problem I faced as an instructor, however, was that I could not find a single textbook that combined these subjects in the way I had in mind. That is why Ive written Introducing Logic and Critical Thinking . My hope and expectation is that there are other instructors like me who would like to structure their courses in Logic and in this way and who would appreciate a single textbook that enables them to do so.

Some unique features of this textbook are designed to aid with instructional use. First, instructors should note that part 1 of the text, which significantly outstrips part 2 in length, intentionally includes a very substantial introduction to a wide range of techniques in deductive and inductive logic. It is my expectation that many instructors will use only sections of part 1. For some courses in Logic and , a more thorough introduction to the methods of deductive and inductive logic is necessary, while for other courses a less thorough introduction is sufficient. I have attempted to write the text in such a way that instructors will not face significant difficulty in selecting sections from part 1 to cover at their discretion. For example, sections 2.4 and 2.5 might be considered too advanced for some introductory logic courses, as these sections introduce methods utilized in symbolic logic. Since these sections deal with relatively discrete methods, instructors can skip these sections and focus instead on the other methods discussed in chapter 2. At the same time, some instructors might welcome having a brief introduction to symbolic logic that could be used in a course with philosophy majors or honors students who seek a more thorough introduction to the discipline than many introductory logic texts provide.

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