De Morgan's laws

De Morgan's laws
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. Math.
a. 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.
b. 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.
[1915-20; named after A. DE MORGAN]

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Universalium. 2010.

См. также в других словарях:

  • De Morgan's laws — In formal logic, De Morgan s laws are rules relating the logical operators and and or in terms of each other via negation. With two operands A and B: In another form: NOT (A AND B) = (NOT A) OR (NOT B) NOT (A OR B) = (NOT A) AND (NOT B) The rules …   Wikipedia

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