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

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## George Boole:

## George Boole: *An Investigation of the Laws of Thought*

Published $\text {1854}$

### Subject Matter

### Contents

- 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

## Further Editions

## Sources

- 1946: Alfred Tarski:
*Introduction to Logic and to the Methodology of Deductive Sciences*(2nd ed.) ... (previous) ... (next): $\S \text{II}.6$: Logical Constants (footnote) - 1959: A.H. Basson and D.J. O'Connor:
*Introduction to Symbolic Logic*(3rd ed.) ... (previous) ... (next): Chapter $\text I$ Introductory: $1$. Symbolic Logic and Classical Logic - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Boole, George**(1815-64) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Boole, George**(1815-64) - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**Boole, George**(1815-64)