Introduction to Logic

by Herrick, Paul

• ISBN13: 9780199890491
• ISBN10: 0199890498
• Format: Paperback
• Copyright: 2012-04-05
• Publisher: Oxford University Press

Summary

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-lifesituations and popular culture. Introduction to Logic brings in the history of philosophy and logic through interesting boxes/sidebars and discussions, showing logic's relation to philosophy. The book is especially suited for use in the "Open Course Library," a comprehensive online logic course that is open and free. Jointly funded by the state of Washington and the Bill and Melinda Gates Foundation, the Logic Course is one of 80 hybrid courses available online at no charge to the morethan 400,000 students in the Washington system. The course is also available for logic courses throughout the US and the world. The Logic Course is available online now. Herrick was chosen to develop the Logic Course for the online Open Course Library. For more information on the Open Library Course Logic Course, please visit : a href="http://www.opencourselibrary.org/"www.opencourselibrary.org//a

Author Biography

Paul Herrick received his Ph.D in philosophy from the University of Washington. Since 1983 he has taught philosophy at Shoreline Community College in Washington, near Seattle. He is the author of The Many Worlds of Logic, Second Edition (OUP, 2002) and Reason and Worldview: An Introduction to Western Philosophy (1999).

Table of Contents

To the Instructor	p. vi
To the Student	p. x
Acknowledgments	p. xii
The Fundamental Concepts of Logic	p. 1
What Is Logic?	p. 3
Let's Have an Argument!	p. 13
The Two Basic Types of Argument	p. 42
How to Evaluate a Deductive Argument	p. 58
How to Evaluate an Inductive Argument	p. 76
Logical Relations and Concluding Matters	p. 85
Categorical Logic	p. 101
Logic Takes Form Categorical Logic Version 1.0	p. 103
The Categorical Syllogism	p. 141
Categorical Logic Version 2.0 Boole, Venn, and the Nineteenth-Century Revolution in Categorical Logic	p. 169
Truth-Functional Logic	p. 211
Think Like a Stoic! Truth-Functional Logic Version 1.0	p. 213
Truth-Functional Logic Version 1.1 Stoic Logic Takes Form	p. 232
Truth-Functional Logic Version 2.0 The Invention of Formal Languages in the Nineteenth Century	p. 249
From English to TL: Techniques for Great Translations	p. 268
Truth-Table Analysis Part 1 Truth Tables for the Operators	p. 289
Truth-Table Analysis Part 2 Testing Sentences for Logical Status	p. 301
Truth-Table Analysis Part 3 Testing Arguments for Validity	p. 319
Truth-Table Analysis Part 4 Relations	p. 340
Modern Truth-Functional Natural Deduction Part 1 The First Four Rules	p. 345
Truth-Functional Natural Deduction Part 2 Four More Inference Rules	p. 379
Truth-Functional Deduction Part 3 Replacement Rules	p. 397
Truth-Functional Deduction Part 4 Indirect and Conditional Proof	p. 427
Premise-Free Proofs	p. 446
Interlude: Philosophy of Logic	p. 451
Predicate Logic	p. 467
Predicate Logic Version 1.1 Frege Unites Categorical and Stoic Logic	p. 469
Predicate Logic Version 1.2 It's All About Relationships	p. 506
Predicate Logic Version 1.3 To Be or Not to Be: The Logic of Identity	p. 523
Natural Deduction Proofs with Monadic Predicates	p. 533
A Semantical Theory for Predicate Logic	p. 556
Conditional and Indirect Predicate Proofs	p. 569
Proofs with Overlapping Quantifiers	p. 579
The Summit: Predicate Logic with Identity	p. 586
Informal and Inductive Logic	p. 597
The Art of Definition	p. 599
The Informal Fallacies	p. 611
The Varieties of Inductive Reasoning	p. 636
Elementary Probability Theory	p. 675
Modal Logic	p. 689
Elementary Modal Logic	p. 691
Appendices
Classical Indian Logic	p. A-l
Metalogic: The Logic of Logic	p. A-19
GQdel's Theorem: The Power of Logic Revealed	p. A-24
Logic and Computers: How an Idea in Logic Led to the Digital Computer and Transformed the World	p. A-28
Answers to Selected Exercises E-p1
Index	p. 1-1
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