## An Investigation of the Laws of Thought"First published in 1854, this is the classic treatise by British mathematician and philosopher GEORGE BOOLE (18151864) in which he develops a system for representing logic in algebraic form. Expanding on ideas first presented in his 1847 pamphlet The Mathematical Analysis of Logic, Boolefor whom the mathematical term boolean was coineddiscusses: derivation of his laws principles of symbolic reasoning conditions of a perfect method general method in probabilities Aristotelian logic and more. A foundational work by the thinker who paved the way for modern electronics and our information age, this is must-reading for students of mathematics and the history of contemporary science." |

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absolutely infinite algebraic application Aristotle assume babilities cause chapter coefficients combination compound event conception conclusion condition connexion consists constituents deduce definition deliberative assembly denoted determine disjunctive proposition elements elimination equa equal events whose probabilities exist expression factor function Hence hypothesis implied indefinite independent inference interpretation involved law of duality laws of thought limited in supply logical equation logical symbols logical value method middle terms minor limit natural evils nature necessary object observed occur particular premises present preventive of pain primary propositions principle Prob problem processes productive of pleasure Prop question reasoning reduced reference relation represent respect result satisfy science of Logic second member secondary propositions simple events sition solution stxy supposed syllogism system of equations theory of probabilities things tion treatise true truth universe of discourse vanish whence

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Page 3 - The design of the following treatise is to investigate the fundamental laws of those operations of the mind by which reasoning is performed; to give expression to them in the symbolical language of a Calculus, and upon this foundation to establish the science of Logic...

Page 24 - Language is an instrument of human reason, and -"- not merely a medium for the expression of thought, is a truth generally admitted.

Page 12 - It is not of the essence of mathematics to be conversant with the ideas of number and quantity. Whether as a general habit of mind it would be desirable to apply symbolical processes to moral argument, is another question. Possibly, as...

Page 6 - It is designed, in the next place, to give expression in this treatise to the fundamental laws of reasoning in the symbolical language of a Calculus. Upon this head it will suffice to say, that those laws are such as to suggest this mode of expression, and to give to it a peculiar and exclusive fitness for the ends in view. There is not only a close analogy between the operations of the mind in general reasoning and its operations in the particular science of Algebra...

Page 3 - But although certain parts of the design of this work have been entertained by others, its general conception, its method, and, to a considerable extent, its results, are believed to be original. For this reason I shall offer, in the present chapter, some preparatory statements and explanations, in order that the real aim of this treatise may be understood, and the treatment of its subject facilitated. It is designed, in the first place, to investigate the fundamental laws of those operations of...