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  2. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    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.

  3. Complete Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Complete_Boolean_algebra

    For a complete boolean algebra infinite de-Morgan's laws hold. A Boolean algebra is complete if and only if its Stone space of prime ideals is extremally disconnected. Sikorski's extension theorem states that if A is a subalgebra of a Boolean algebra B, then any homomorphism from A to a complete Boolean algebra C can be extended to a morphism ...

  4. Boolean algebra (structure) - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra_(structure)

    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.

  5. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations .

  6. Boolean function - Wikipedia

    en.wikipedia.org/wiki/Boolean_function

    In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1,1}). [1] [2] Alternative names are switching function, used especially in older computer science literature, [3] [4] and truth function (or logical function), used in logic.

  7. List of Boolean algebra topics - Wikipedia

    en.wikipedia.org/wiki/List_of_Boolean_algebra_topics

    This is a list of topics around Boolean algebra and propositional logic. Articles with a wide scope and introductions. Algebra of sets; Boolean algebra (structure)

  8. Boolean algebras canonically defined - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebras...

    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 ...

  9. Category:Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Category:Boolean_algebra

    Boolean algebra can refer to: A calculus for the manipulation of truth values (T and F). A complemented distributive lattice. These can be used to model the ...