Difference between revisions of "Boolean domain"

MyWikiBiz, Author Your Legacy — Friday November 22, 2024
Jump to navigationJump to search
(copy text from [http://www.opencycle.net/ OpenCycle] of which Jon Awbrey is the sole author)
 
(update)
 
(13 intermediate revisions by the same user not shown)
Line 1: Line 1:
−
A '''boolean domain''' '''B''' is a generic 2-element [[set]], say, '''B''' = {0, 1}, whose elements are interpreted as [[logical value]]s, typically 0 = false and 1 = true.
+
<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
  
−
A '''boolean variable''' ''x'' is a [[variable]] that takes its value from a boolean domain, as ''x''&nbsp;&isin;&nbsp;'''B'''.  
+
A '''boolean domain''' <math>\mathbb{B}</math> is a generic 2-element [[set]], say, <math>\mathbb{B} = \{ 0, 1 \},</math> whose elements are interpreted as [[logical value]]s, typically, <math>0 = \operatorname{false}</math> and <math>1 = \operatorname{true}.</math>
  
−
==See also==
+
A '''boolean variable''' <math>x\!</math> is a [[variable]] that takes its value from a boolean domain, as <math>x \in \mathbb{B}.</math>
  
 +
==Syllabus==
 +
 +
===Focal nodes===
 +
 +
* [[Inquiry Live]]
 +
* [[Logic Live]]
 +
 +
===Peer nodes===
 +
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Boolean_domain Boolean Domain @ InterSciWiki]
 +
* [http://mywikibiz.com/Boolean_domain Boolean Domain @ MyWikiBiz]
 +
* [http://ref.subwiki.org/wiki/Boolean_domain Boolean Domain @ Subject Wikis]
 +
* [http://en.wikiversity.org/wiki/Boolean_domain Boolean Domain @ Wikiversity]
 +
* [http://beta.wikiversity.org/wiki/Boolean_domain Boolean Domain @ Wikiversity Beta]
 +
 +
===Logical operators===
 +
 +
{{col-begin}}
 +
{{col-break}}
 +
* [[Exclusive disjunction]]
 +
* [[Logical conjunction]]
 +
* [[Logical disjunction]]
 +
* [[Logical equality]]
 +
{{col-break}}
 +
* [[Logical implication]]
 +
* [[Logical NAND]]
 +
* [[Logical NNOR]]
 +
* [[Logical negation|Negation]]
 +
{{col-end}}
 +
 +
===Related topics===
 +
 +
{{col-begin}}
 +
{{col-break}}
 +
* [[Ampheck]]
 +
* [[Boolean domain]]
 +
* [[Boolean function]]
 
* [[Boolean-valued function]]
 
* [[Boolean-valued function]]
 +
* [[Differential logic]]
 +
{{col-break}}
 +
* [[Logical graph]]
 +
* [[Minimal negation operator]]
 +
* [[Multigrade operator]]
 +
* [[Parametric operator]]
 +
* [[Peirce's law]]
 +
{{col-break}}
 +
* [[Propositional calculus]]
 +
* [[Sole sufficient operator]]
 +
* [[Truth table]]
 +
* [[Universe of discourse]]
 +
* [[Zeroth order logic]]
 +
{{col-end}}
 +
 +
===Relational concepts===
 +
 +
{{col-begin}}
 +
{{col-break}}
 +
* [[Continuous predicate]]
 +
* [[Hypostatic abstraction]]
 +
* [[Logic of relatives]]
 +
* [[Logical matrix]]
 +
{{col-break}}
 +
* [[Relation (mathematics)|Relation]]
 +
* [[Relation composition]]
 +
* [[Relation construction]]
 +
* [[Relation reduction]]
 +
{{col-break}}
 +
* [[Relation theory]]
 +
* [[Relative term]]
 +
* [[Sign relation]]
 +
* [[Triadic relation]]
 +
{{col-end}}
 +
 +
===Information, Inquiry===
 +
 +
{{col-begin}}
 +
{{col-break}}
 +
* [[Inquiry]]
 +
* [[Dynamics of inquiry]]
 +
{{col-break}}
 +
* [[Semeiotic]]
 +
* [[Logic of information]]
 +
{{col-break}}
 +
* [[Descriptive science]]
 +
* [[Normative science]]
 +
{{col-break}}
 +
* [[Pragmatic maxim]]
 +
* [[Truth theory]]
 +
{{col-end}}
 +
 +
===Related articles===
 +
 +
{{col-begin}}
 +
{{col-break}}
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs]
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
 +
{{col-break}}
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
 +
{{col-break}}
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems]
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems]
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
 +
{{col-end}}
 +
 +
==Document history==
 +
 +
Portions of the above article were adapted from the following sources under the [[GNU Free Documentation License]], under other applicable licenses, or by permission of the copyright holders.
 +
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Boolean_domain Boolean Domain], [http://intersci.ss.uci.edu/ InterSciWiki]
 +
* [http://mywikibiz.com/Boolean_domain Boolean Domain], [http://mywikibiz.com/ MyWikiBiz]
 +
* [http://planetmath.org/BooleanDomain Boolean Domain], [http://planetmath.org/ PlanetMath]
 +
* [http://wikinfo.org/w/index.php/Boolean_domain Boolean Domain], [http://wikinfo.org/w/ Wikinfo]
 +
* [http://en.wikiversity.org/wiki/Boolean_domain Boolean Domain], [http://en.wikiversity.org/ Wikiversity]
 +
* [http://beta.wikiversity.org/wiki/Boolean_domain Boolean Domain], [http://beta.wikiversity.org/ Wikiversity Beta]
 +
* [http://en.wikipedia.org/w/index.php?title=Boolean_domain&oldid=71168300 Boolean Domain], [http://en.wikipedia.org/ Wikipedia]
 +
 +
[[Category:Inquiry]]
 +
[[Category:Open Educational Resource]]
 +
[[Category:Peer Educational Resource]]
 +
[[Category:Combinatorics]]
 +
[[Category:Computer Science]]
 +
[[Category:Discrete Mathematics]]
 +
[[Category:Logic]]
 +
[[Category:Mathematics]]

Latest revision as of 19:54, 5 November 2015

☞ This page belongs to resource collections on Logic and Inquiry.

A boolean domain \(\mathbb{B}\) is a generic 2-element set, say, \(\mathbb{B} = \{ 0, 1 \},\) whose elements are interpreted as logical values, typically, \(0 = \operatorname{false}\) and \(1 = \operatorname{true}.\)

A boolean variable \(x\!\) is a variable that takes its value from a boolean domain, as \(x \in \mathbb{B}.\)

Syllabus

Focal nodes

Peer nodes

Logical operators

Template:Col-breakTemplate:Col-breakTemplate:Col-end

Related topics

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Relational concepts

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Information, Inquiry

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Related articles

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

Retrieved from "https://mywikibiz.com/index.php?title=Boolean_domain&oldid=466829"