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">☞</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'' ∈ '''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. |
| | | |
− | {{aficionados}}<sharethis />
| + | * [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:Combinatorics]] |
| [[Category:Computer Science]] | | [[Category:Computer Science]] |