9780155031715

SIMPLE LOGIC

by Unknown
  • ISBN13:

    9780155031715

  • ISBN10:

    0155031716

  • Format: Nonspecific Binding
  • Copyright: 1999-01-01
  • Publisher: OXF
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Table of Contents

Preface vii
PART I LOGIC AND LANGUAGE 2(146)
CHAPTER 1 REASONING
2(58)
1.1 Premises and Conclusions
2(8)
1.2 Recognizing Arguments
10(14)
1.3 Extended Arguments
24(18)
1.4 Validity and Strength
42(5)
1.5 Implication and Equivalence
47(5)
1.6 Form and Invalidity
52(8)
CHAPTER 2 LANGUAGE
60(27)
2.1 Reason and Emotion
61(7)
2.2 Goals of Definition
68(5)
2.3 Means of Definition
73(6)
2.4 Criteria for Definitions
79(8)
CHAPTER 3 INFORMAL FALLACIES
87(61)
3.1 Fallacies of Evidence
87(5)
3.2 Fallacies of Relevance: Credibility
92(8)
3.3 Fallacies of Relevance: Confusion
100(5)
3.4 Fallacies of Relevance: Manipulation
105(9)
3.5 Inductive Fallacies
114(13)
3.6 Fallacies of Clarity
127(21)
PART II ARISTOTELIAN LOGIC 148(70)
CHAPTER 4 CATEGORICAL PROPOSITIONS
148(33)
4.1 Kinds of Categorical Proposition
151(2)
4.2 Categorical Propositions in Natural Language
153(6)
4.3 Diagramming Categorical Propositions
159(4)
4.4 Immediate Inference
163(9)
4.5 The Aristotelian Square of Opposition
172(7)
4.6 The Modern Square of Opposition
179(2)
CHAPTER 5 SYLLOGISMS
181(37)
5.1 Standard Form
182(4)
5.2 Venn Diagrams
186(12)
5.3 Distribution
198(3)
5.4 Rules for Validity
201(6)
5.5 Reduction
207(11)
PART III SYMBOLIC LOGIC 218(170)
CHAPTER 6 PROPOSITIONAL LOGIC
218(42)
6.1 Connectives
218(4)
6.2 Truth Functions
222(6)
6.3 Symbolization
228(8)
6.4 A Symbolic Language
236(3)
6.5 Logical Properties of Statements
239(4)
6.6 Truth Tables for Statements
243(6)
6.7 Truth Tables for Symbolic Arguments
249(11)
CHAPTER 7 SEMANTIC TABLEAUX
260(38)
7.1 Motivation
261(3)
7.2 Tableaux
264(5)
7.3 Negation, Conjunction, and Disjunction
269(9)
7.4 Policies
278(2)
7.5 The Conditional and Biconditional
280(11)
7.6 Other Applications
291(7)
CHAPTER 8 Proof
298(41)
8.1 Rules and Proofs
298(2)
8.2 Rules of Implication I: Conjunctions and Conditionals
300(8)
8.3 Rules of Implication II: Disjunctions
308(6)
8.4 Rules of Replacement: Connectives
314(11)
8.5 Rules of Replacement: Algebra
325(6)
8.6 Categorical Proofs
331(2)
8.7 Indirect Proofs
333(6)
CHAPTER 9 PREDICATE LOGIC
339(49)
9.1 Quantifiers
341(4)
9.2 Categorical Statement Forms
345(3)
9.3 Symbolization
348(10)
9.4 Quantified Tableaux
358(12)
9.5 Quantified Proofs
370(7)
9.6 Universal Generalization
377(11)
PART IV INDUCTION 388(91)
CHAPTER 10 GENERALIZATIONS AND ANALOGIES
388(33)
10.1 Inductive Strength
389(3)
10.2 Enumeration
392(5)
10.3 Statistical Generalizations
397(10)
10.4 Analogies
407(14)
CHAPTER 11 CAUSES
421(27)
11.1 Kinds of Causes
421(5)
11.2 Agreement and Difference
426(13)
11.3 Residues and Concomitant Variation
439(9)
CHAPTER 12 EXPLANATIONS
448(31)
12.1 Generalizations and Laws
448(9)
12.2 The Hypothetico-Deductive Method
457(4)
12.3 Confirmation and Auxiliary Assumptions
461(7)
12.4 Evaluating Explanations
468(11)
Answers to Selected Problems 479(98)
Glossary 577(8)
Index 585

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