Boolean Set
A Boolean Set is a set that is composed of boolean values.
- Context:
- It can be a Binary Set
See: Boolean Relation, Boolean Function, Boolean Algebra, True, False.
References
2016
- (Wikipedia, 2015) ⇒ https://www.wikiwand.com/en/Boolean_domain Retrieved: 06-06-2016
- In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true. In logic, mathematics and theoretical computer science, a Boolean domain is usually written as {0, 1},{false, true}, {F, T}, [math]\displaystyle{ \left \{ \bot,\top \right \} }[/math] or [math]\displaystyle{ \mathbb{B}. }[/math]
The algebraic structure that naturally builds on a Boolean domain is the Boolean algebra with two elements. The initial object in the category of bounded lattices is a Boolean domain.
In computer science, a Boolean variable is a variable that takes values in some Boolean domain. Some programming languages feature reserved words or symbols for the elements of the Boolean domain, for example
falseandtrue. However, many programming languages do not have a Boolean datatype in the strict sense. In C or BASIC, for example, falsity is represented by the number 0 and truth is represented by the number 1 or −1 respectively, and all variables that can take these values can also take any other numerical values.
- In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true. In logic, mathematics and theoretical computer science, a Boolean domain is usually written as {0, 1},{false, true}, {F, T}, [math]\displaystyle{ \left \{ \bot,\top \right \} }[/math] or [math]\displaystyle{ \mathbb{B}. }[/math]
1999
- (Wolfram Mathworld , 1999) ⇒ http://mathworld.wolfram.com/Booleans.html Retrieved: 06-06-2016
- The domain of Booleans, sometimes denoted B, consisting of the elements True and False, implemented in the Wolfram Language as Booleans. In the Wolfram Language, a quantity can be tested to determine if it is in the domain of Booleans using Element[e, Booleans].