Book:George Boole/An Investigation of the Laws of Thought

Subject Matter

 * Logic

Contents

 * Introduction (by Michele Friend) (2005)


 * Preface


 * Note


 * Chapter I: Nature and design of this work
 * Chapter II: Of signs In general, and of the signs appropriate to the science of logic in particular; also of the laws to which that class of signs are subject
 * Chapter III: Derivation of the laws of the symbols of logic from the laws of the operations of the human mind
 * Chapter IV: Of the division of propositions into the two classes of "primary" and "secondary;" of the characteristic properties of those classes, and of the laws of the expression of primary propositions
 * Chapter V: Of the fundamental principles of symbolical reasoning, and of the expansion or development of expressions involving logical symbols
 * Chapter VI: Of the general interpretation of logical equations, and the resulting analysis of propositions. Also, of the condition of interpretability of logical functions
 * Chapter VII: On elimination
 * Chapter VIII: On the reduction of systems of propositions
 * Chapter IX: On certain methods of abbreviation
 * Chapter X: On the conditions of a certain method
 * Chapter XI: Of secondary propositions, and of the principles of their symbolical expression
 * Chapter XII: Of the methods and processes to be adopted in the treatment of secondary propositions
 * Chapter XIII: Analysis of a portion of Dr. Samuel Clarke's "Demonstration of the being and attributes of God," and of a portion of the "Ethica Ordine Geometrico Demonstrata" of Spinoza
 * Chapter XIV: Example of the analysis of a system of equations by the method of reduction to a single equivalent equation $$V = 0$$, wherein $$V$$ satisfies the condition $$V \left({1 - V}\right) = 0$$
 * Chapter XV: The Aristotelian Logic and its modern extensions, examined by the method of this treatise
 * Chapter XVI: On the theory of probabilities
 * Chapter XVII: Demonstration of a general method for the solution of problems in the theory of probabilities
 * Chapter XVIII: Elementary illustrations of the general method of probabilities
 * Chapter XIX: Of statistical conditions
 * Chapter XX: Problems relating to the connexion of causes and effects
 * Chapter XXI: Particular application of the previous general method to the question of the probability of judgments
 * Chapter XXII: On the nature of science, and the constitution of the intellect


 * Endnotes