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Logic | |
Introduction: What is Logic? | p. 1 |
Formal Logic-an Introduction | p. 5 |
Reasoning, Inference, Arguments, and Logic | p. 5 |
A Little History: Aristotelian Logic | p. 7 |
Modern Logic: Frege's Insight | p. 14 |
An Overview of Classical Logic | p. 20 |
Truth Tables | p. 20 |
Rules of Inference and Valid and Invalid Argument Forms | p. 26 |
Interlude | |
What is Truth? | p. 36 |
The Problem with Truth | p. 36 |
Three Theories of Truth | p. 40 |
Correspondence Theories | p. 40 |
Coherence Theories | p. 41 |
Deflationary Theories | p. 43 |
Truth and Logic | p. 44 |
Philosophy of Logic | |
Three Distinctions | p. 46 |
Syntax and Semantics | p. 46 |
Form and Content | p. 49 |
Logical Consequence and Logical Truth | p. 53 |
Quantifiers and Identity | p. 59 |
Quantifiers, Vacuous Names, and the Problem of Non-Being | p. 59 |
Identity and Definite Descriptions | p. 69 |
Modal Logic | p. 74 |
Necessity and Possibility | p. 74 |
Other Modalities | p. 78 |
Possible Worlds | p. 80 |
But is it Logic? | p. 84 |
Bivalence | p. 91 |
Fatalism and Future Contingents | p. 91 |
Vagueness | p. 96 |
The Conditional | p. 106 |
The Problematic Material Conditional | p. 106 |
Conditional Logics and Possible Worlds | p. 111 |
Relevance Logic | p. 116 |
Relevance Logics and the Failure of Disjunctive Syllogism | p. 119 |
Two Logical Truths | p. 125 |
Intuitionism, Realism, and the Law of the Excluded Middle | p. 125 |
Paraconsistent Logics, Dialetheism, and the Principle of Non-Contradiction | p. 132 |
How True Are logical Truths? | p. 137 |
Quantum Logic | p. 139 |
Physics and Quantum Mechanics | p. 139 |
Quantum Logic | p. 144 |
Problems with Quantum Logic | p. 148 |
Interlude | |
Which Logic is Right? | p. 153 |
Not Tonk | p. 153 |
Making Sense of the Title Question of this Chapter | p. 156 |
Some Traditional Philosophical Questions Raised by Logic | |
The Metaphysics of Logic | p. 162 |
Making Sense of Logical Facts | p. 162 |
Psychologism | p. 163 |
Conventionalism | p. 164 |
Rationalism | p. 167 |
Giving Up Trying to Make Sense of Logical Facts | p. 170 |
The Epistemology of Logic | p. 176 |
A Traditional Distinction | p. 176 |
Justifying Logic | p. 178 |
Revising Logic | p. 181 |
A More Positive Note | p. 185 |
Rationality and Logic | p. 190 |
The Wason Selection Task (Again) | p. 190 |
The Irrelevance of Logic | p. 195 |
Beyond Logic | p. 201 |
Why Bother? | p. 203 |
Further Readings | p. 207 |
Glossary | p. 214 |
Table of Contents provided by Ingram. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.