Principles of Deductive Logic
, by Kearns, John T.
- ISBN: 9780887064791 | 0887064795
- Cover: Paperback
- Copyright: 11/1/1987
| Preface | |
| Applied Logic: What We Hope To Accomplish | |
| Summary | |
| The Nature of Logic | |
| Talking About Words | |
| Speech Acts | |
| A Language is a Complex System | |
| Logically Important Semantic Features | |
| Applied Logic | |
| Philosophy of Logic | |
| Some Preliminary Matters | |
| Summary | |
| Definitions (Opt) | |
| Inferences and Arguments | |
| Informal Fallacies (Opt) | |
| Sentences About Individuals | |
| Summary | |
| Looking Ahead | |
| Individuals | |
| Quantified Phrases | |
| Universal Sentences | |
| Some Other Universal Sentences | |
| Singular Sentences | |
| The Artificial-Language Strategy | |
| Summary | |
| Artificial Languages | |
| Logical Form | |
| Evaluation | |
| The Languages to be Developed | |
| The Categorical Language | |
| Summary | |
| Categorical Sentences | |
| Semantics | |
| Logical Form | |
| The Complement of an Expression | |
| Some Syntactic Relations | |
| Implication and Equivalence | |
| Logical Truth | |
| Venn Diagrams | |
| Incompatibility | |
| Syllogisms | |
| The Categorical Deductive System | |
| Proving Incompatibility | |
| Venn Diagrams for Many-Place Relations | |
| Formal Fallacies (Opt) | |
| Applying an Artificial Language | |
| Summary | |
| What We Want in a Translation | |
| The Features We Test for | |
| Negative Outcomes | |
| Applying the Categorical Language to English | |
| Summary | |
| Translating English Sentences | |
| Expressing Existential Force | |
| Detecting Semantic Features of Existence Claims | |
| Evaluating English Sentences and Arguments | |
| Achieving Comparable Translations | |
| Incorporating Semantic Features in Logical Form | |
| Enthymemes | |
| What Comes Next | |
| The Extended Categorical Language | |
| Summary | |
| The Changes We Want | |
| What We Will Keep | |
| Small Change | |
| The Sign of Negation | |
| Reasoning with Negative Sentences | |
| Translating Negated Sentences | |
| Singular Sentences | |
| Reasoning with Singular Sentences | |
| The Propositional Connective Language | |
| Summary | |
| A Mixed Language | |
| The Syntax and Semantics of the PC Language | |
| Variables and Formulas | |
| Evaluating Sentences of the PC Languge | |
| Two-Place Relations | |
| Many-Place Relations | |
| Indirect Tests | |
| The Quick Method of Determining if a Formula is a Tautology | |
| The Pc Deductive System | |
| Summary | |
| A Deductive System | |
| Proofs from Hypotheses | |
| The Easy Rules | |
| More Rules | |
| Proofs within Proofs | |
| Properties of the PC System | |
| Proofs without Hypotheses | |
| Metatheorems and Derived Rules | |
| Our First Metatheorems (Opt) | |
| More Metatheorems (Opt) | |
| Still More Metatheorems (Opt) | |
| Rules to Shorten Proofs | |
| Proving Incompatibility | |
| Refutation | |
| What to do Next | |
| The Original and Derived Rules of the PC Deductive System | |
| Applying the PC Language to English | |
| Summary | |
| Translating within a Single Language | |
| Translating with the Negation Sign | |
| Translating with '&' | |
| Translations with 'v' | |
| Translations with the Horseshoe | |
| Some Additional Translations | |
| The Scope of a Connective | |
| Identifying Sentences | |
| A Further Look at the Difference Between Ordinary Conditional Sentences and Horseshoe Sentences (Opt) | |
| Testing for Analyticity | |
| Incompatibility | |
| Entailment and Validity | |
| An Important Exception | |
| Incorporating Semantic Features in Logical Form | |
| Enthymemes | |
| The First-Order Language | |
| Summary | |
| A Purely Artificial Language | |
| The Truth Conditions of Atomic Sentences | |
| New Varieties of Variables | |
| Quantifiers | |
| Multiple Quantification | |
| Restricted Domains | |
| A More Careful Description of the First-Order Language | |
| The First-Order Deductive System | |
| Summary | |
| Adapting the PC System | |
| Some Derived Rules | |
| A Notation for Substitution | |
| An Additional Notation | |
| Change of Bound Variables | |
| Universal Quantifier Elimination | |
| Universal Quantifier Introduction | |
| Existential Quantifier Introduction | |
| Existential Quantifier Elimination | |
| Identity Rules | |
| More Derived Rules | |
| Refutation | |
| Incompatibilty | |
| Rules and Derived Rules of the First-Order Deductive System | |
| Applying the First-Order Language to English | |
| Summary | |
| The Expressive Power of the First-Order Language | |
| Predicates and Singular Terms | |
| Quantified Phrases in English | |
| Indefinite Sentences | |
| Universal Sentences | |
| Only | |
| Another Use of 'Any' | |
| Generalized Conditionals | |
| Analytic Sentences | |
| Incompatibility | |
| Entailment and Validity | |
| Comparable Translations | |
| Supplementing Our Translations | |
| Afterword Reflections On Logic | |
| Answers to Starred Questions | |
| Index | |
| Table of Contents provided by Ingram. All Rights Reserved. |
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