Exclusive or in the context of "Boolean algebra (structure)"

Play Trivia Questions online!

 or

Skip to study material about Exclusive or in the context of "Boolean algebra (structure)"
Ad spacer

>>>PUT SHARE BUTTONS HERE<<<

👉 Exclusive or in the context of Boolean algebra (structure)

In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties of both set operations and logic operations. A Boolean algebra can be seen as a generalization of a power set algebra or a field of sets, or its elements can be viewed as generalized truth values. It is also a special case of a De Morgan algebra and a Kleene algebra (with involution).

Every Boolean algebra gives rise to a Boolean ring, and vice versa, with ring multiplication corresponding to conjunction or meet ∧, and ring addition to exclusive disjunction or symmetric difference (not disjunction ∨). However, the theory of Boolean rings has an inherent asymmetry between the two operators, while the axioms and theorems of Boolean algebra express the symmetry of the theory described by the duality principle.

↓ Explore More Topics
In this Dossier

Exclusive or in the context of Law of excluded middle

In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is true. Symbolically expressed, the law is (p ∨ ~p).

The law of the excluded middle is also known as the law/principle of the excluded third, in Latin principium tertii exclusi. Another Latin designation for the law is tertium non datur or "no third [possibility] is given".

↑ Return to Menu
LINKED FROM (PARENTS)
← Boolean algebra (structure) ← Law of excluded middle
LINKS TO (CHILDREN)