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De Morgan's laws

noun
1.
Logic. two laws, one stating that the denial of the conjunction of a class of propositions is equivalent to the disjunction of the denials of a proposition, and the other stating that the denial of the disjunction of a class of propositions is equivalent to the conjunction of the denials of the propositions.
2.
Mathematics.
  1. the theorem of set theory that the complement of the union of two sets is equal to the intersection of the complements of the sets.
  2. the theorem of set theory that the complement of the intersection of two sets is equal to the union of the complements of the sets.
Origin
1915-1920
1915-20; named after A. De Morgan
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for De Morgan's laws

De Morgan's laws

plural noun
1.
(in formal logic and set theory) the principles that conjunction and disjunction, or union and intersection, are dual. Thus the negation of P & Q is equivalent to not-P or not-Q
Word Origin
named after Augustus De Morgan (1806–71), British mathematician
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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