Boolean algebra (nonfiction): Difference between revisions

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In [[mathematics (nonfiction)]] and mathematical logic, '''Boolean algebra''' (or '''Boolean logic''') is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.
In [[mathematics (nonfiction)]] and mathematical logic, '''Boolean algebra''' (or '''Boolean logic''') is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.


== Description ==
It is thus a formalism for describing logical relations in the same way that ordinary algebra describes numeric relations.


The main operations of Boolean algebra are the conjunction and, denoted ∧, the disjunction or, denoted ∨, and the negation not, denoted ¬.
Boolean algebra was introduced by [[George Boole (nonfiction)|George Boole]] in his first book ''The Mathematical Analysis of Logic'' (1847), and set forth more fully in his ''An Investigation of the Laws of Thought'' (1854).


It is thus a formalism for describing logical relations in the same way that ordinary algebra describes numeric relations.
According to Huntington, the term "Boolean algebra" was first suggested by [[Henry M. Sheffer (nonfiction)|Henry Sheffer]] in 1913.


By contrast, in elementary algebra the values of the variables are numbers, and the main operations are addition and multiplication.
Boolean algebra has been fundamental in the development of digital electronics, and is provided for in all modern programming languages.


== History ==
It is also used in [[Set theory (nonfiction)|set theory]] and statistics.


Boolean algebra was introduced by George Boole in his first book ''The Mathematical Analysis of Logic'' (1847), and set forth more fully in his ''An Investigation of the Laws of Thought'' (1854).
== In the News ==


According to Huntington, the term "Boolean algebra" was first suggested by Sheffer in 1913.
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== Applications ==
== Fiction cross-reference ==


Boolean algebra has been fundamental in the development of digital electronics, and is provided for in all modern programming languages.
* [[Gnomon algorithm]]
 
* [[Mathematics]]
It is also used in set theory and statistics.


== Nonfiction cross-reference ==
== Nonfiction cross-reference ==


== Fiction cross-reference ==
* [[Algebra (nonfiction)]]
* [[George Boole (nonfiction)]]
* [[Logic (nonfiction)]]
* [[Set theory (nonfiction)]]
* [[Henry M. Sheffer (nonfiction)]]


External links:


* [https://en.wikipedia.org/wiki/Boolean_algebra Boolean algebra] @ Wikipedia


[[Category:Nonfiction (nonfiction)]]
[[Category:Nonfiction (nonfiction)]]
[[Category:Algebra (nonfiction)]]
[[Category:Logic (nonfiction)]]
[[Category:Logic (nonfiction)]]
[[Category:Mathematics (nonfiction)]]
[[Category:Mathematics (nonfiction)]]

Latest revision as of 12:02, 1 December 2017

In mathematics (nonfiction) and mathematical logic, Boolean algebra (or Boolean logic) is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.

It is thus a formalism for describing logical relations in the same way that ordinary algebra describes numeric relations.

Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic (1847), and set forth more fully in his An Investigation of the Laws of Thought (1854).

According to Huntington, the term "Boolean algebra" was first suggested by Henry Sheffer in 1913.

Boolean algebra has been fundamental in the development of digital electronics, and is provided for in all modern programming languages.

It is also used in set theory and statistics.

In the News

Fiction cross-reference

Nonfiction cross-reference

External links: