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An Investigation of the Laws of Thought On Which Are Founded the Mathematical Theories of Logic and Probabilities 1st Edition by George Boole 9780511693090 0511693095

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An Investigation of the Laws of Thought On Which Are Founded the Mathematical Theories of Logic and Probabilities Boole Digital Instant Download

Author(s): Boole, George
ISBN(s): 9780511693090, 0511693095
Edition: Illustrated
File Details: PDF, 17.14 MB
Year: 2009
Language: english
SKU: EB-54535510 Category: Tags: ,

An Investigation of the Laws of Thought On Which Are Founded the Mathematical Theories of Logic and Probabilities 1st Edition by George Boole – Ebook PDF Instant Download/Delivery: 9780511693090, 0511693095

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Product details:

ISBN 10: 0511693095

ISBN 13: 9780511693090

Author: George Boole

Self-taught mathematician and father of Boolean algebra, George Boole (1815–1864) published An Investigation of the Laws of Thought in 1854. In this highly original investigation of the fundamental laws of human reasoning, a sequel to ideas he had explored in earlier writings, Boole uses the symbolic language of mathematics to establish a method to examine the nature of the human mind using logic and the theory of probabilities. Boole considers language not just as a mode of expression, but as a system one can use to understand the human mind. In the first 12 chapters, he sets down the rules necessary to represent logic in this unique way. Then he analyses a variety of arguments and propositions of various writers from Aristotle to Spinoza. One of history’s most insightful mathematicians, Boole is compelling reading for today’s student of intellectual history and the science of the mind.

Table of contents:

Chapter I – Nature and Design of This Work

Chapter II – Signs and Their Laws

Chapter III – Derivation of the Laws

Chapter IV – Division of Propositions

Chapter V – Principles of Symbolical Reasoning

Chapter VI – Of Interpretation

Chapter VII – Of Elimination

Chapter VIII – Of Reduction

Chapter IX – Methods of Abbreviation

Chapter X – Conditions of a Perfect Method

Chapter XI – Of Secondary Propositions

Chapter XII – Methods in Secondary Propositions

Chapter XIII – Clarke and Spinoza

Chapter XIV – Example of Analysis

Chapter XV – Of the Aristotelian Logic

Chapter XVI – Of the Theory of Probabilities

Chapter XVII – General Method in Probabilities

Chapter XVIII – Elementary Illustrations

Chapter XIX – Of Statistical Conditions

Chapter XX – Problems on Causes

Chapter XXI – Probability of Judgments

Chapter XXII – Constitution of the Intellect

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Tags: George Boole, Investigation, Laws, Founded