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George Boole, English mathematician who helped establish modern symbolic logic and whose algebra of logic, now called Boolean algebra, is basic to the design of digital computer circuits. Boole pointed out the analogy between algebraic symbols and those that can represent logical forms and syllogisms.
- Boole and De Morgan
Although Boole cannot be credited with the very first...
- Boolean Algebra
Boolean algebra, symbolic system of mathematical logic that...
- Boole and De Morgan
Learn how George Boole and Augustus De Morgan developed symbolic logic and algebra of classes in the 19th century. Compare their approaches, influences, and contributions to the field of logic.
Some of his key works include a paper on early invariant theory and "The Mathematical Analysis of Logic," which introduced symbolic logic. Boole also wrote two systematic treatises: "Treatise on Differential Equations" and "Treatise on the Calculus of Finite Differences."
Apr 21, 2010 · Where traditional (Aristotelian) logic relied on cataloging the valid syllogisms of various simple forms, Boole's method provided general algorithms in an algebraic language which applied to an infinite variety of arguments of arbitrary complexity.
Freeing algebra from arithmetic, he used algebraic symbols to represent logical statements, and established an algebra of symbols which can be added or multiplied. This powerful abstract approach caused a paradigm shift, giving modern mathematics an enormous scope and potency.
Mar 27, 2024 · One Equals Truth: Boole’s Symbolic System for Logical Reasoning. Boole fully presented his new “algebra of logic” in his 1854 magnum opus The Laws of Thought. He begins asserting “That language is an instrument of human reason, and not merely a medium for the expression of thought…”
Sep 26, 2024 · Boolean algebra, symbolic system of mathematical logic that represents relationships between entities—either ideas or objects. The basic rules of this system were formulated in 1847 by George Boole of England and were subsequently refined by other mathematicians and applied to set theory.
