Introduction to Logic

ISBN-10: 0872201449

ISBN-13: 9780872201446

Edition: 2nd 1993

Authors: Morris R. Cohen, Ernest Nagel, John Corcoran

List price: $17.00
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Description:

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.
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Book details

List price: $17.00
Edition: 2nd
Copyright year: 1993
Publisher: Hackett Publishing Company, Incorporated
Publication date: 10/15/1993
Binding: Paperback
Pages: 288
Size: 5.50" wide x 8.50" long x 0.50" tall
Weight: 0.682
Language: English

Morris Raphael Cohen, who taught philosophy at the City College of New York and who began life as the son of Russian-Jewish immigrants, was one of the foremost Jewish intellectuals in America during the first half of the twentieth century. He expounded a philosophy of rationalism and realism in step with contemporary science and relevant to the social issues of his times and, through his books and teaching, had a widespread influence. His book, Reason and Nature (1931), offered a clear exposition and critique of the central concepts in science and sought to demonstrate that the scientific method required rational elements (mathematics and formal logic) no less than experimental procedures that appealed to sense experience.

Framji Minwalla is Assistant Professor of Drama at Dartmouth College. He is currently working on a book about the pedagogy of theater history.Born in Czechoslovakia, Ernest Nagel emigrated to the United States and became a naturalized American citizen. In 1923 he graduated from the City College of New York, where he had studied under Morris Cohen, with whom he later collaborated to coauthor the highly successful textbook, An Introduction to Logic and Scientific Method (1934). Pursuing graduate studies at Columbia University, he received his Ph.D. in 1930. After a year of teaching at the City College of New York, he joined the faculty of Columbia University, where in 1955 he was named John Dewey Professor of Philosophy. In 1966 he joined the faculty of Rockefeller University. Nagel was one of the leaders in the movement of logical empiricism, conjoining Viennese positivism with indigenous American naturalism and pragmatism. In 1936 he published in the Journal of Philosophy the article "Impressions and Appraisals of Analytic Philosophy," one of the earliest sympathetic accounts of the works of Ludwig Wittgenstein, Moritz Schlick, and Rudolf Carnap intended for an American audience. Nagel was esteemed for his lucid exposition of the most recondite matters in logic, mathematics, and natural science, published in essays and book reviews for professional journals, scientific periodicals, and literary reviews. Two of his books, now out of print, consisted of collections of his articles, Sovereign Reason and Other Studies in the Philosophy of Science (1954) and Logic Without Metaphysics and Other Essays in the Philosophy of Science (1957). He also wrote a monograph, Principles of the Theory of Probability (1939) which appeared in the International Encyclopedia of Unified Science. In his major book-length work, The Structure of Science, Nagel directed his attention to the logic of scientific explanations.

Editor's Preface
Preface
Editor's Introduction
The Subject Matter of Logic
Logic and the Weight of Evidence
Conclusive Evidence or Proof
The Nature of Logical Implication
Partial Evidence or Probable Inference
Is Logic about Words, Thoughts, or Objects?
The Use and Application of Logic
The Analysis of Propositions
What Is a Proposition?
The Traditional Analysis of Propositions
Compound, Simple, and General Propositions
The Relations Between Propositions
The Possible Logical Relations between Propositions
Independent Propositions
Equivalent Propositions
The Traditional Square of Opposition
The Opposition of Propositions in General
The Categorical Syllogism
The Definition of Categorical Syllogisms
The Enthymeme
The Rules or Axioms of Validity
The General Theorems of the Syllogism
The Figures and Moods of the Syllogism
The Special Theorems and Valid Moods of the First Figure
The Special Theorems and Valid Moods of the Second Figure
The Special Theorems and Valid Moods of the Third Figure
The Special Theorems and Valid Moods of the Fourth Figure
The Reduction of Syllogisms
The Antilogism or Inconsistent Triad
The Sorites
Hypothetical, Alternative, and Disjunctive Syllogisms
The Hypothetical Syllogism
The Alternative Syllogism
The Disjunctive Syllogism
The Reduction of Mixed Syllogisms
Pure Hypothetical and Alternative Syllogisms
The Dilemma
Generalized or Mathematical Logic
Logic as the Science of Types of Order
The Formal Properties of Relations
The Logical Properties of Relations in Some Familiar Inferences
Symbols: Their Function and Value
The Calculus of Classes
The Calculus of Propositions
The Nature of a Logical or Mathematical System
The Function of Axioms
Pure Mathematics - an Illustration
Structural Identity or Isomorphism
The Equivalence of Axiom Sets
The Independence and Consistency of Axioms
Mathematical Induction
What Generalization Means in Mathematics
Probable Inference
The Nature of Probable Inference
The Mathematics or Calculus of Probability
Interpretations of Probability
Some Problems of Logic
The Paradox of Inference
Is the Syllogism a Petitio Principii?
The Laws of Thought
The Basis of Logical Principles in the Nature of Things
Appendix - Examples of Demonstration
What Does a Demonstration Establish?
Some Fallacious Demonstrations
Exercises
Bibliography of Works Cited
Index of Names
Index of Subjects
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