Distributivity

Some articles on distributivity:

Topics in Logic - "Is Logic Empirical?"
... phenomena described by quantum theory, then we should abandon the principle of distributivity, substituting for classical logic the quantum logic proposed by Garrett Birkhoff and John von Neumann ... by Sir Michael Dummett argues that Putnam's desire for realism mandates the law of distributivity ... Distributivity of logic is essential for the realist's understanding of how propositions are true of the world in just the same way as he has argued the principle of ...
Product (category Theory) - Distributivity
... The universal property for X×(Y+Z) then guarantees a unique morphism X×Y+X×Z → X×(Y+Z) ... A distributive category is one in which this morphism is actually an isomorphism ...
Distributive Property - Generalizations of Distributivity
... In several mathematical areas, generalized distributivity laws are considered ... Especially in order theory one finds numerous important variants of distributivity, some of which include infinitary operations, such as the infinite distributive law others ... An application of this principle is the notion of sub-distributivity as explained in the article on interval arithmetic ...
Logicus - Topics in Logic - "Is Logic Empirical?"
... phenomena described by quantum theory, then we should abandon the principle of distributivity, substituting for classical logic the quantum logic proposed by Garrett Birkhoff and John von ... by Sir Michael Dummett argues that Putnam's desire for realism mandates the law of distributivity ... Distributivity of logic is essential for the realist's understanding of how propositions are true of the world in just the same way as he has argued the principle of bivalence is ...
Distributive Semilattices
... Surprisingly, there is a notion of "distributivity" applicable to semilattices, even though distributivity conventionally requires the interaction of two binary operations ... This notion requires but a single operation, and generalizes the distributivity condition for lattices ... See the entry distributivity (order theory) ...