The Mathematics of Boolean Algebra

[Revised entry by J. Donald Monk on July 14, 2014. Changes to: Bibliography] Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of
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[Revised entry by J. Donald Monk on July 14, 2014. Changes to: Bibliography] Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation. The rigorous concept is that of a certain kind of algebra, analogous to the mathematical notion of a group. This concept has roots and applications in logic (Lindenbaum-Tarski algebras and model theory), set theory (fields of...

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News source: Stanford Encyclopedia of Philosophy

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