
in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba. From ... [1 related articles]
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http://www.britannica.com/eb/a-z/c/120

is any law of the form x o y = y o x, or with the biconditional, etc., replacing equality -- compare Associative law. Commutative laws of addition and multiplication hold in arithmetic, also in the theory of real numbers, etc. In the propositional calculus there are commutative laws of conjunction, both kinds of disjunction, the biconditional, alte...
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https://www.encyclo.co.uk/local/21203

a law asserting that the order in which certain logical operations are performed is indifferent.
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https://www.infoplease.com/dictionary/commutative-law
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