Difference between revisions of "Boolean domain"
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+ | <font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. | ||
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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> | 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> | ||
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==Syllabus== | ==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=== | ===Logical operators=== | ||
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* [[Boolean function]] | * [[Boolean function]] | ||
* [[Boolean-valued function]] | * [[Boolean-valued function]] | ||
+ | * [[Differential logic]] | ||
{{col-break}} | {{col-break}} | ||
* [[Logical graph]] | * [[Logical graph]] | ||
− | |||
* [[Minimal negation operator]] | * [[Minimal negation operator]] | ||
+ | * [[Multigrade operator]] | ||
+ | * [[Parametric operator]] | ||
* [[Peirce's law]] | * [[Peirce's law]] | ||
{{col-break}} | {{col-break}} | ||
* [[Propositional calculus]] | * [[Propositional calculus]] | ||
+ | * [[Sole sufficient operator]] | ||
* [[Truth table]] | * [[Truth table]] | ||
* [[Universe of discourse]] | * [[Universe of discourse]] | ||
* [[Zeroth order logic]] | * [[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}} | {{col-end}} | ||
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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. | 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://mywikibiz.com/Boolean_domain Boolean Domain], [http://mywikibiz.com/ MyWikiBiz] | ||
− | * [http:// | + | * [http://planetmath.org/BooleanDomain Boolean Domain], [http://planetmath.org/ PlanetMath] |
− | * [http:// | + | * [http://wikinfo.org/w/index.php/Boolean_domain Boolean Domain], [http://wikinfo.org/w/ Wikinfo] |
− | * [http:// | + | * [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://beta.wikiversity.org/wiki/Boolean_domain Boolean Domain], [http://beta.wikiversity.org/ Wikiversity Beta] | ||
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* [http://en.wikipedia.org/w/index.php?title=Boolean_domain&oldid=71168300 Boolean Domain], [http://en.wikipedia.org/ Wikipedia] | * [http://en.wikipedia.org/w/index.php?title=Boolean_domain&oldid=71168300 Boolean Domain], [http://en.wikipedia.org/ Wikipedia] | ||
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[[Category:Inquiry]] | [[Category:Inquiry]] |
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
- Boolean Domain @ InterSciWiki
- Boolean Domain @ MyWikiBiz
- Boolean Domain @ Subject Wikis
- Boolean Domain @ Wikiversity
- Boolean Domain @ Wikiversity Beta
Logical operators
Template:Col-breakTemplate:Col-breakTemplate:Col-endRelated topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
- Differential Logic : Introduction
- Differential Propositional Calculus
- Differential Logic and Dynamic Systems
- Prospects for Inquiry Driven Systems
- Introduction to Inquiry Driven Systems
- Inquiry Driven Systems : Inquiry Into Inquiry
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.
- Boolean Domain, InterSciWiki
- Boolean Domain, MyWikiBiz
- Boolean Domain, PlanetMath
- Boolean Domain, Wikinfo
- Boolean Domain, Wikiversity
- Boolean Domain, Wikiversity Beta
- Boolean Domain, Wikipedia