The principle of distributivity states that the algebraic distributive law is valid for classical logic, where both logical conjunction and logical disjunction are distributive over each other so that for any propositions A, B and C the equivalences
and
hold.
The principle of distributivity is valid in classical logic, but invalid in quantum logic. The article Is logic empirical? discusses the case that quantum logic is the correct, empirical logic, on the grounds that the principle of distributivity is inconsistent with a reasonable interpretation of quantum phenomena.
Famous quotes containing the words principle of and/or principle:
“The principle of all sovereignty resides essentially in the nation.”
—French National Assembly. Declaration of the Rights of Man (Sept. 1791)
“If there be one principle more deeply rooted than any other in the mind of every American, it is that we should have nothing to do with conquest.”
—Thomas Jefferson (1743–1826)