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# Introduction to Logic

**by**Paul Herrick

### 9780199890491

0199890498

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4/5/2012

Oxford University Press, USA

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## 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 |

Table of Contents provided by Ingram. All Rights Reserved. |