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This is a list of topics around Boolean algebra and propositional logic. ... Topological Boolean algebra This page was last edited on 23 July 2024, at ...
In mathematics and mathematical logic, Boolean algebra is a branch of algebra.It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers.
Boolean algebra is intimately related to propositional logic (sentential logic) as well. ... List of Boolean algebra topics; 0–9. 0 but true; 2-valued morphism; A.
This is a list of mathematical logic topics. For traditional syllogistic logic, ... Boolean algebra (logic) Dialectica space; categorical logic; Model theory.
The term "Boolean algebra" honors George Boole (1815–1864), a self-educated English mathematician. He introduced the algebraic system initially in a small pamphlet, The Mathematical Analysis of Logic, published in 1847 in response to an ongoing public controversy between Augustus De Morgan and William Hamilton, and later as a more substantial book, The Laws of Thought, published in 1854.
Boolean algebra is a mathematically rich branch of abstract algebra. Stanford Encyclopaedia of Philosophy defines Boolean algebra as 'the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.' [1] Just as group theory deals with groups, and linear algebra with vector spaces, Boolean algebras are models of the ...
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Heyting algebra. Relatively complemented lattice; Complete Heyting algebra. Pointless topology; MV-algebra; Ockham algebras: Stone algebra; De Morgan algebra. Kleene algebra (with involution) Łukasiewicz–Moisil algebra; Boolean algebra (structure) Boolean ring; Complete Boolean algebra; Orthocomplemented lattice; Quantale
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