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An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities

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Author(s): George Boole
Publisher: Project Gutenberg
Year: 1854, 2017

Language: English
Pages: 344
Tags: Logic

CONTENTS.
——
CHAPTER I.
Nature and Design of this Work,. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1
CHAPTER II.
Signs and their Laws, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
CHAPTER III.
Derivation of the Laws, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
CHAPTER IV.
Division of Propositions,. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .37
CHAPTER V.
Principles of Symbolic Reasoning, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
CHAPTER VI.
Of Interpretation, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
CHAPTER VII.
Of Elimination, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
CHAPTER VIII.
Of Reduction, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

CHAPTER IX.
Methods of Abbreviation, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
CHAPTER X.
Conditions of a Perfect Method, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
CHAPTER XI.
Of Secondary Propositions, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
CHAPTER XII.
Methods in Secondary Propositions, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
CHAPTER XIII.
Clarke and Spinoza, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
CHAPTER XIV.
Example of Analysis, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
CHAPTER XV.
Of the Aristotelian Logic, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174
CHAPTER XVI.
Of the Theory of Probabilities, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187
CHAPTER XVII.
General Method in Probabilities, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194
CHAPTER XVIII.
Elementary Illustrations, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
CHAPTER XIX.
Of Statistical Conditions, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227
CHAPTER XX.
Problems on Causes, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247
CHAPTER XXI.
Probability of Judgments, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293
CHAPTER XXII.
Constitution of the Intellect, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311