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An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities by George Boole, published in 1854, is the second of Boole's two monographs on algebraic logic. Boole was a professor of mathematics at what was then Queen's College, Cork, now University College Cork, in Ireland.
George Boole (/ b uː l /; 2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland.
Boole (1854): From his "laws of the mind" Boole derives Aristotle's "Law of contradiction" [ edit ] The title of George Boole 's 1854 treatise on logic, An Investigation on the Laws of Thought , indicates an alternate path.
George Boole's unwavering acceptance of Aristotle's logic is emphasized by the historian of logic John Corcoran in an accessible introduction to Laws of Thought [29] Corcoran also wrote a point-by-point comparison of Prior Analytics and Laws of Thought. [30] According to Corcoran, Boole fully accepted and endorsed Aristotle's logic.
According to Corcoran, Boole fully accepted and endorsed Aristotle's logic. Boole's goals were "to go under, over, and beyond" Aristotle's logic by 1) providing it with mathematical foundations involving equations, 2) extending the class of problems it could treat—from assessing validity to solving equations—and 3) expanding the range of ...
George Boole's unwavering acceptance of Aristotle's logic is emphasized by the historian of logic John Corcoran in an accessible introduction to Laws of Thought. [10] [11] Corcoran also wrote a point-by-point comparison of Prior Analytics and Laws of Thought. [12] According to Corcoran, Boole fully accepted and endorsed Aristotle's logic.
For a long time in history, Aristotelian syllogistics was treated as the canon of logic and there were very few substantial improvements to it for over two thousand years until the works of George Boole, Bernard Bolzano, Franz Brentano, Gottlob Frege, and others. [3]
Though he never questioned Aristotle, George Boole's algebraic reformulation of logic, so-called Boolean logic, was a predecessor of modern mathematical logic and classical logic. William Stanley Jevons and John Venn, who also had the modern understanding of existential import, expanded Boole's system. Begriffsschrift title page