# Boolean

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> Markdown URL: https://mediated.wiki/source/Boolean.md
> Source: https://en.wikipedia.org/wiki/Boolean
> Source revision: 1325481194
> License: Creative Commons Attribution-ShareAlike 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/)

{{short description|Mathematical topics based on the works of George Boole}}
{{Wiktionary|Boolean|Booleans|boolean}}

Any kind of logic, function, expression, or theory based on the work of '''[George Boole](/source/George_Boole)''' is considered '''Boolean'''.  

Related to this, "Boolean" may refer to:

* [Boolean data type](/source/Boolean_data_type), a form of data with only two possible values (usually "true" and "false")
* [Boolean algebra](/source/Boolean_algebra), a logical calculus of truth values or set membership
* [Boolean algebra (structure)](/source/Boolean_algebra_(structure)), a set with operations resembling logical ones
* [Boolean domain](/source/Boolean_domain), a set consisting of exactly two elements whose interpretations include ''false'' and ''true''
* [Boolean circuit](/source/Boolean_circuit), a mathematical model for digital logical circuits.
* [Boolean expression](/source/Boolean_expression), an expression in a programming language that produces a Boolean value when evaluated
* [Boolean function](/source/Boolean_function), a function that determines Boolean values or operators
* [Boolean model (probability theory)](/source/Boolean_model_(probability_theory)), a model in stochastic geometry
* [Boolean network](/source/Boolean_network), a certain network consisting of a set of Boolean variables whose state is determined by other variables in the network
* [Boolean processor](/source/Boolean_processor), a 1-bit variable computing unit 
* [Boolean ring](/source/Boolean_ring), a mathematical ring for which ''x''<sup>2</sup> = ''x'' for every element ''x''
* [Boolean satisfiability problem](/source/Boolean_satisfiability_problem),  the problem of determining if there exists an interpretation that satisfies a given Boolean formula
* [Boolean prime ideal theorem](/source/Boolean_prime_ideal_theorem), a theorem which states that ideals in a Boolean algebra can be extended to prime ideals

==See also==
*[Binary (disambiguation)](/source/Binary_(disambiguation))

{{SIA}}
Category:Computer science
Category:Eponyms

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Adapted from the Wikipedia article [Boolean](https://en.wikipedia.org/wiki/Boolean) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Boolean?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.