Augustus De Morgan

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Augustus De Morgan

Augustus De Morgan , 1806-71, English mathematician and logician, b. India. A noted teacher, he was professor of mathematics (1828-31, 1836-66) at University College (now part of the Univ. of London) and a founder and first president (1865) of the London Mathematical Society. Known as a reformer of logic, he developed a new logic of relations that he summarized in Syllabus of a Proposed System of Logic (1860). His works include An Essay on Probabilities (1838), Formal Logic (1847), Trigonometry and Double Algebra (1849), and A Budget of Paradoxes (1872).

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de Morgans laws

A Dictionary of Computing | 2004 | | Â© A Dictionary of Computing 2004, originally published by Oxford University Press 2004. (Hide copyright information) Copyright

de Morgan's laws The two laws of a Boolean algebra that provide a method of expressing the complement of a complex expression in terms of the complements of individual components: (x ∨ y)′ = x′ ∧ y′ (x ∧ y)′ = x′ ∨ y′

The pair is self-dual. The term de Morgan's laws is often used to describe instances of these laws as they apply in particular cases, e.g. to sets or to logical expressions. The laws are named for Augustus de Morgan.

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