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An Introduction to Logic - Morris R. Cohen

An Introduction to Logic

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This is a revised reprint of the Harcourt, Brace and Company edition of 1962. Written for independent study and suitable for an introductory course in logic, this classic text combines a sound presentation of logic with effective pedagogy and illustrates the role of logic in many areas of humanistic and scientific thought. Cohen and Nagel's elegant integration of the history of philosophy, natural science, and mathematics helps earn this work its distinguished reputation.

An admirable book in every way. A textbook in a class by itself. Refreshing, lucid, well reasoned, well written. --James Newman and Edward Kasner, Mathematics and the Imagination

Editor's Preface
Editor's Introduction
The Subject Matter of Logic
Logic and the Weight of Evidencep. 3
Conclusive Evidence or Proofp. 5
The Nature of Logical Implicationp. 8
Partial Evidence or Probable Inferencep. 13
Is Logic about Words, Thoughts, or Objects?p. 16
The Use and Application of Logicp. 21
The Analysis of Propositions
What Is a Proposition?p. 27
The Traditional Analysis of Propositionsp. 30
Compound, Simple, and General Propositionsp. 44
The Relations Between Propositions
The Possible Logical Relations between Propositionsp. 52
Independent Propositionsp. 56
Equivalent Propositionsp. 57
The Traditional Square of Oppositionp. 65
The Opposition of Propositions in Generalp. 68
The Categorical Syllogism
The Definition of Categorical Syllogismsp. 76
The Enthymemep. 78
The Rules or Axioms of Validityp. 78
The General Theorems of the Syllogismp. 80
The Figures and Moods of the Syllogismp. 81
The Special Theorems and Valid Moods of the First Figurep. 84
The Special Theorems and Valid Moods of the Second Figurep. 85
The Special Theorems and Valid Moods of the Third Figurep. 85
The Special Theorems and Valid Moods of the Fourth Figurep. 86
The Reduction of Syllogismsp. 87
The Antilogism or Inconsistent Triadp. 91
The Soritesp. 94
Hypothetical, Alternative, and Disjunctive Syllogisms
The Hypothetical Syllogismp. 96
The Alternative Syllogismp. 100
The Disjunctive Syllogismp. 101
The Reduction of Mixed Syllogismsp. 103
Pure Hypothetical and Alternative Syllogismsp. 103
The Dilemmap. 105
Generalized or Mathematical Logic
Logic as the Science of Types of Orderp. 110
The Formal Properties of Relationsp. 113
The Logical Properties of Relations in Some Familiar Inferencesp. 115
Symbols: Their Function and Valuep. 117
The Calculus of Classesp. 121
The Calculus of Propositionsp. 126
The Nature of a Logical or Mathematical System
The Function of Axiomsp. 129
Pure Mathematics - an Illustrationp. 133
Structural Identity or Isomorphismp. 137
The Equivalence of Axiom Setsp. 141
The Independence and Consistency of Axiomsp. 143
Mathematical Inductionp. 147
What Generalization Means in Mathematicsp. 148
Probable Inference
The Nature of Probable Inferencep. 151
The Mathematics or Calculus of Probabilityp. 158
Interpretations of Probabilityp. 164
Some Problems of Logic
The Paradox of Inferencep. 173
Is the Syllogism a Petitio Principii?p. 177
The Laws of Thoughtp. 181
The Basis of Logical Principles in the Nature of Thingsp. 185
Appendix - Examples of Demonstration
What Does a Demonstration Establish?p. 189
Some Fallacious Demonstrationsp. 195
Exercisesp. 200
Bibliography of Works Citedp. 221
Index of Namesp. 223
Index of Subjectsp. 225
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780872201446
ISBN-10: 0872201449
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 288
Published: 1st June 1993
Country of Publication: US
Dimensions (cm): 21.6 x 14.0  x 1.27
Weight (kg): 0.31
Edition Number: 2
Edition Type: Revised