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It is the ability inherent in our nature to appreciate Order, and the concurrent presumption, however founded, that the phenomena of Nature are connected by a principle of Order. Without these, the general truths of physical science could never have been ascertained.
George Boole
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That logic, as a science, is susceptible of very wide applications is admitted; but it is equally certain that its ultimate forms and processes are mathematical.
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A successful attempt to express logical propositions by symbols, the laws of whose combinations should be founded upon the laws of the mental processes which they represent, would, so far, be a step towards a philosophical language.
George Boole
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Let x represent an act of the mind by which we fix our regard upon that portion of time for which the proposition X is true ; and let this meaning be understood when it is asserted that x denote the time for which the proposition X is true. (...) We shall term x the representative symbol of the proposition X.
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That language is an instrument of human reason, and not merely a medium for the expression of thought, is a truth generally admitted.
George Boole
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The general laws of Nature are not, for the most part, immediate objects of perception.
George Boole
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I have endeavoured, in the following treatise, to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. It was my object, first of all, to meet the wants of those who had no previous acquaintance with the subject, but I also desired not quite to disappoint others who might seek for more v advanced information. These distinct, but not inconsistent - aims determined the plan of composition.
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A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the science:
"The probability of an event is the reason we have to believe that it has taken place, or that it will take place."
"The measure of the probability of an event is the ratio of the number of cases favorable to that event, to the total number of cases favorable or contrary, and all equally possible" (equally like to happen).
George Boole
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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 and construct its method ; to make that method itself the basis of a general method for the application of the mathematical doctrine of Probabilities ; and, finally, to collect from the various elements of truth brought to view in the course of these inquiries some probable intimations concerning the nature and constitution of the human mind.
George Boole
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Each new scientific conception gives occasion to new applications of deductive reasoning; but those applications may be only possible through the methods and the processes which belong to an earlier stage.
George Boole
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George Boole
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Born:
November 2, 1815
Died:
December 8, 1864
(aged 49)
Bio:
George Boole was an English mathematician, educator, philosopher and logician. He worked in the fields of differential equations and algebraic logic, and is best known as the author of The Laws of Thought which contains Boolean algebra.
Known for:
The Laws of Thought (1854)
The mathematical analysis of logic (1847)
Studies in logic and probability
Treatise on differential equations (1859)
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science
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mind
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principle
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time
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method
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operations
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analysis
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forms
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thought
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fundamental
,
probabilities
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