An Introduction to LogicWritten 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. |
Contents
THE NATURE OF A LOGICAL OR MATHEMATICAL | vii |
The Function of Axioms | 129 |
Structural Identity or Isomorphism | 137 |
The Independence and Consistency of Axioms | 143 |
PROBABLE INFERENCE | 151 |
The Mathematics or Calculus of Probability | 158 |
Interpretations of Probability | 164 |
SOME PROBLEMS OF LOGIC | 173 |
The Laws of Thought | 181 |
The Basis of Logical Principles in the Nature of Things | 190 |
Exercises | 200 |
Bibliography of Works Cited | 221 |
Other editions - View all
An Introduction to Logic Morris R. Cohen,Morris Raphael Cohen,Ernest Nagel No preview available - 1993 |
Common terms and phrases
Abe is able affirmative alternative analysis antecedent argument Aristotle assert assumptions axioms base angles calculus calculus of classes called categorical propositions categorical syllogism Chap chapter Cohen and Nagel coin conclusion Consider contains contradiction contradictory contrapositive deduction demonstration denoted determine discussion disjunctive distinct elements enthymeme equal Euclid evidence examine example expression fact fallacy figure formal geometry gism given proposition heads Hence hypothetical implies independent integers interior angles invalid l-class logical form logical principles major premise material mathematical induction mathematicians mathematics meaning negation negative non-Euclidean geometry objects parallel postulate pattern possible postulate predicate premise-set probability of getting probable inference properties propo proposition logically propositional functions prove question reader reasoning right angles sentence set of propositions sitions straight line subject matter symbols T. L. Heath theorems theory tion triangle true or false truth or falsity truth-value universal proposition valid moods virtue words