In 1854 George Boole published " An Investigation into Laws of Thought . . ., " which lays the foundations for Boolean algebra, which is later used in information retrieval.
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In " The Problems of Philosophy ", he cites three " Laws of Thought " as more or less " self-evident " or " a priori " in the sense of Aristotle:
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According to the 1999 Cambridge Dictionary of Philosophy, laws of thought are laws by which or in accordance with which valid thought proceeds, or that justify valid inference, or to which all valid deduction is reducible.
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The principle was one of the four recognised laws of thought, that held a place in European pedagogy of logic and reasoning ( and, to some extent, philosophy in general ) in the 18th and nineteenth century.
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In various spheres, however, even imagination is in practice limited : thus a person whose imaginations do violence to the elementary laws of thought, or to the necessary principles of practical possibility, or to the reasonable insane.
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The law of non-contradiction, along with its complement, the law of excluded middle ( the third of the three classic laws of thought ), are correlates of the law of identity ( the first of the three laws ).
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George Boole, in the introduction to his treatise " The Laws of Thought " made the following observation with respect to the nature of language and those principles that must inhere naturally within them, if they are to be intelligible:
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He defines the Principle of the Logical as an ideal matrix of the logical principles or laws of thought ( the law of identity, the law of non-contradiction, the law of excluded middle, the law of sufficient reason ).
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"The Jackrabbit Factor " is an extended version of the dog / rabbit analogy, which follows the fictional Goodman family as they struggle financially and have a number of encounters which help them learn the laws of thought related to success.
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Many other propositions have also been mentioned as laws of thought, including the dictum de omni et nullo attributed to Aristotle, the substitutivity of identicals ( or equals ) attributed to Euclid, the so-called identity of indiscernibles attributed to Gottfried Wilhelm Leibniz, and other " logical truths ".
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