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De Morgan's laws represented with Venn diagrams.In each case, the resultant set is the set of all points in any shade of blue. In propositional logic and Boolean algebra, De Morgan's laws, [1] [2] [3] also known as De Morgan's theorem, [4] are a pair of transformation rules that are both valid rules of inference.
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician.He is best known for De Morgan's laws, relating logical conjunction, disjunction, and negation, and for coining the term "mathematical induction", the underlying principles of which he formalized. [1]
In mathematics, a De Morgan algebra (named after Augustus De Morgan, a British mathematician and logician) is a structure A = (A, ∨, ∧, 0, 1, ¬) such that: (A, ∨, ∧, 0, 1) is a bounded distributive lattice, and
De Morgan or de Morgan is a surname, and may refer to: . Augustus De Morgan (1806–1871), British mathematician and logician.. De Morgan's laws (or De Morgan's theorem), a set of rules from propositional logic.
In logic, a rule of replacement [1] [2] [3] is a transformation rule that may be applied to only a particular segment of an expression.A logical system may be constructed so that it uses either axioms, rules of inference, or both as transformation rules for logical expressions in the system.
William Frend De Morgan (16 November 1839 – 15 January 1917) was an English potter, tile designer and novelist. [1] A lifelong friend of William Morris, he designed tiles, stained glass and furniture for Morris & Co. from 1863 to 1872.
The rhyme appears in De Morgan's A Budget of Paradoxes (1872) along with a discussion of the possibilities that all particles may be made of clustered smaller particles, "and so down, for ever", and that planets and stars may be particles of some larger universe, "and so up, for ever".
Campbell Greig De Morgan (22 November 1811 – 12 April 1876) was a British surgeon who first speculated that cancer arose locally and then spread, first to the lymph nodes and then more widely in the body.