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== | ||
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| + | ===Focal nodes=== | ||
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| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [[Inquiry Live]] | ||
| + | {{col-break}} | ||
| + | * [[Logic Live]] | ||
| + | {{col-end}} | ||
| + | |||
| + | ===Peer nodes=== | ||
| + | |||
| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [http://mywikibiz.com/Boolean_domain Boolean Domain @ MyWikiBiz] | ||
| + | * [http://mathweb.org/wiki/Boolean_domain Boolean Domain @ MathWeb Wiki] | ||
| + | * [http://netknowledge.org/wiki/Boolean_domain Boolean Domain @ NetKnowledge] | ||
| + | {{col-break}} | ||
| + | * [http://wiki.oercommons.org/mediawiki/index.php/Boolean_domain Boolean Domain @ OER Commons] | ||
| + | * [http://p2pfoundation.net/Boolean_Domain Boolean Domain @ P2P Foundation] | ||
| + | * [http://semanticweb.org/wiki/Boolean_domain Boolean Domain @ SemanticWeb] | ||
| + | {{col-end}} | ||
===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}} | {{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]] | ||
| + | * [[Logic of information]] | ||
| + | {{col-break}} | ||
| + | * [[Descriptive science]] | ||
| + | * [[Normative science]] | ||
| + | {{col-break}} | ||
| + | * [[Pragmatic maxim]] | ||
| + | * [[Pragmatic theory of truth]] | ||
| + | {{col-break}} | ||
| + | * [[Semeiotic]] | ||
| + | * [[Semiotic information]] | ||
| + | {{col-end}} | ||
| + | |||
| + | ===Related articles=== | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, “Propositional Equation Reasoning Systems”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, “Differential Logic : Introduction”] | ||
| + | |||
| + | * [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, “Differential Logic and Dynamic Systems”] | ||
==Document history== | ==Document history== | ||
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{{col-break}} | {{col-break}} | ||
* [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] | ||
| − | * [http:// | + | * [http://wikinfo.org/index.php/Boolean_domain Boolean Domain], [http://wikinfo.org/ Wikinfo] |
| − | * [http:// | + | * [http://textop.org/wiki/index.php?title=Boolean_domain Boolean Domain], [http://textop.org/wiki/ Textop Wiki] |
* [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] | ||
{{col-end}} | {{col-end}} | ||
Revision as of 17:14, 10 May 2010
☞ 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
Template:Col-breakTemplate:Col-breakTemplate:Col-endPeer nodes
Logical operators
Related topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
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, MyWikiBiz
- Boolean Domain, MathWeb Wiki
- Boolean Domain, PlanetMath
- Boolean Domain, PlanetPhysics
- Boolean Domain, Wikiversity Beta
- Boolean Domain, Wikinfo
- Boolean Domain, Textop Wiki
- Boolean Domain, Wikipedia
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