Details

Sweet Reason


Sweet Reason

A Field Guide to Modern Logic
2. Aufl.

von: James M. Henle, Jay L. Garfield, Thomas Tymoczko, Emily Altreuter

55,99 €

Verlag: Wiley-Blackwell
Format: EPUB
Veröffentl.: 07.10.2011
ISBN/EAN: 9781118078686
Sprache: englisch
Anzahl Seiten: 400

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Beschreibungen

<i>Sweet Reason: A Field Guide to Modern Logic, 2nd Edition</i> offers an innovative, friendly, and effective introduction to logic. It integrates formal first order, modal, and non-classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics. <div> <ul> <li>An innovative introduction to the field of logic designed to entertain as it informs</li> <li>Integrates formal first order, modal, and non-classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics</li> <li>Addresses contemporary applications of logic in fields such as computer science and linguistics</li> <li>A web-site (<a href="http://www.wiley.com/go/henle">www.wiley.com/go/henle</a>) linked to the text features numerous supplemental exercises and examples, enlightening puzzles and cartoons, and insightful essays</li> </ul> </div>
<b>Preface</b> xi <p><b>What Is Logic?</b> 1</p> <p><b>Chapter One</b> 3</p> <p><i>1.1 Introducing Formal Logic</i> 4</p> <p><i>1.2 Constants and Relations</i> 7</p> <p><i>1.3 Quantifiers and Variables</i> 9</p> <p><i>1.4 Introducing Informal Logic</i> 11</p> <p><i>1.5 Conclusions</i> 13</p> <p><i>1.6 Dialects of Logic</i> 15</p> <p><b>Chapter Two</b> 18</p> <p><i>2.1 Formal Inference</i> 19</p> <p><i>2.2 Informal Inference</i> 21</p> <p><i>2.3 Diagramming Arguments</i> 25</p> <p><i>2.4 Saying No</i> 32</p> <p><i>2.5 Metalogic</i> 35</p> <p><b>Chapter Three</b> 37</p> <p><i>3.1 Basic Sentential</i> 37</p> <p><i>3.2 Truth Tables</i> 43</p> <p><i>3.3 English to Sentential</i> 50</p> <p><i>3.4 Negating Statements</i> 56</p> <p><i>3.5 Rebutting Premises</i> 59</p> <p><i>3.6 Computer Logic</i> 65</p> <p><b>Chapter Four</b> 69</p> <p><i>4.1 Validity</i> 69</p> <p><i>4.2 The Logic of English</i> 73</p> <p><i>4.3 Negating Conditionals</i> 76</p> <p><i>4.4 Rebutting Inferences</i> 80</p> <p><i>4.5 The Logic of Sets</i> 87</p> <p><b>Chapter Five</b> 94</p> <p><i>5.1 Well-formed Formulas</i> 94</p> <p><i>5.2 The Shortcut Method</i> 101</p> <p><i>5.3 Local and Global</i> 108</p> <p><i>5.4 More on Trees</i> 111</p> <p><i>5.5 Rebutting Everything</i> 115</p> <p><i>5.6 Polish Logic</i> 122</p> <p><b>Chapter Six</b> 129</p> <p><i>6.1 Predicate</i> 130</p> <p><i>6.2 English to Predicate</i> 139</p> <p><i>6.3 Reading Between the Lines</i> 145</p> <p><i>6.4 Multi-valued Logic</i> 153</p> <p><b>Chapter Seven</b> 162</p> <p><i>7.1 Universes</i> 162</p> <p><i>7.2 Syllogisms</i> 167</p> <p><i>7.3 Validity</i> 172</p> <p><i>7.4 Diagramming Your Argument</i> 176</p> <p><i>7.5 Inductive Logic</i> 187</p> <p><b>Chapter Eight</b> 192</p> <p><i>8.1 Predicate Wffs</i> 192</p> <p><i>8.2 Outlining Your Argument</i> 196</p> <p><i>8.3 The Logic of Chance</i> 205</p> <p><b>Chapter Nine</b> 213</p> <p><i>9.1 Simple Deduction</i> 213</p> <p><i>9.2 Simple Strategy</i> 221</p> <p><i>9.3 Writing Your Argument</i> 227</p> <p><i>9.4 Basic Modal Logic</i> 234</p> <p><b>Chapter Ten</b> 240</p> <p><i>10.1 Sentential Deduction</i> 240</p> <p><i>10.2 Sentential Strategy</i> 250</p> <p><i>10.3 Arguing with Yourself</i> 263</p> <p><i>10.4 Sophisticated Modal Logic</i> 279</p> <p><b>Chapter Eleven</b> 287</p> <p><i>11.1 Predicate Deduction</i> 287</p> <p><i>11.2 Predicate Strategy</i> 296</p> <p><i>11.3 Why We Argue</i> 306</p> <p><i>11.4 Presidential Debating</i> 310</p> <p><i>11.5 The Logic of Paradox</i> 315</p> <p><b>Chapter Twelve</b> 327</p> <p><i>12.1 Deduction with Identity</i> 327</p> <p><i>12.2 Deduction, FMTYEWTK</i> 332</p> <p><i>12.3 Parliamentary Debating</i> 336</p> <p><i>12.4 Cathy, A Decade On</i> 338</p> <p><i>12.5 Incomplete Logic</i> 343</p> <p><b>What is Logic?</b> 349</p> <p><b>Answers to Odd-Numbered Exercises</b> 350</p> <p><b>Index</b> 384</p>
<b>James M. Henle</b> is Professor of Mathematics at Smith College. His books include <i>Calculus: the Language of Change</i> (with David Cohen), <i>Infinitesimal Calculus</i> (with Eugene Kleinberg), and <i>An Outline of Set Theory</i>.<br /> <br /> <p><b>Jay L. Garfield</b> is Doris Silbert Professor in the Humanities and Professor of Philosophy at Smith College, Professor in the Graduate Faculty of Philosophy at the University of Massachusetts, Professor of Philosophy at Melbourne University, and Adjunct Professor of Philosophy at the Central University of Tibetan Studies.</p> <p><b>Thomas Tymoczko</b> was, until his death, Professor of Philosophy at Smith College. He was editor of <i>New Directions in the Philosophy of Mathematics</i>.</p>
What exactly is "logic," and how does it work in the real world? <i>Sweet Reason: A Field Guide to Modern Logic, 2nd Edition</i> offers an innovative introduction to the field of logic in all its guises - one that integrates formal first order, modal, and nonclassical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics. Designed to entertain as it informs, this nontraditional yet highly effective approach allows for a richer insights and a deeper understanding of the myriad principles of logic. Contemporary applications of logic in fields such as computer science and linguistics are also addressed. To further enhance clarity, a website linked to the text features numerous supplemental exercises and examples, enlightening puzzles and cartoons, and insightful essays on history, philosophy, mathematics, computing, linguistics, and religion. <i>Sweet Reason</i> brings the discipline of logic into sharp focus as a field of inquiry, not just a body of technique.<br /> <br />
<i>Sweet Reason</i> pulls off the impossible: it provides a fun-to-read but also competent introduction to logic. Students in any discipline will find the text to be an intriguing first course in logical theory. <br /> <br /> <p> </p> <p>J.C. Beall, University of Connecticut and University of Otago</p> <p> </p> <p>Introductory logic books are a dime a dozen. But this one's different. No, really. With a unique combination of philosophical nous, paradox, humor, and - often provocative - exercises, it teaches the elements of both formal logic and critical reasoning. And it shows logic as a living, breathing, evolving, stimulating, subject. If you don't want to get interested in logic, don't use this book.</p> <p> </p> <p>Graham Priest, City University of New York Graduate Center</p> <p> </p> <p>This extraordinary book, refined over the years in a very successful course at Smith College, is unique in scope among introductory logic texts, beginning with critical thinking, moving through a first-rate treatment of standard propositional and predicate logic, and introducing students along the way to a variety of more advanced topics, including modal logic, many-valued logics, set theory, cardinal and ordinal arithmetic, the logic of probability, and the logic of paradox.</p> <p> </p> <p>John Horty, University of Maryland</p>

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