Boolean domain

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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

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• Inquiry Live

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• Logic Live

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Peer nodes

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• Boolean Domain @ MyWikiBiz
• Boolean Domain @ MathWeb Wiki
• Boolean Domain @ NetKnowledge

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• Boolean Domain @ OER Commons
• Boolean Domain @ P2P Foundation
• Boolean Domain @ SemanticWeb

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Logical operators

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• Exclusive disjunction
• Logical conjunction
• Logical disjunction
• Logical equality

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• Logical implication
• Logical NAND
• Logical NNOR
• Negation

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Related topics

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• Ampheck
• Boolean domain
• Boolean function
• Boolean-valued function
• Differential logic

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• Logical graph
• Minimal negation operator
• Multigrade operator
• Parametric operator
• Peirce's law

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• Propositional calculus
• Sole sufficient operator
• Truth table
• Universe of discourse
• Zeroth order logic

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Relational concepts

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• Continuous predicate
• Hypostatic abstraction
• Logic of relatives
• Logical matrix

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• Relation
• Relation composition
• Relation construction
• Relation reduction

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• Relation theory
• Relative term
• Sign relation
• Triadic relation

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Information, Inquiry

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• Inquiry
• Logic of information

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• Descriptive science
• Normative science

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• Pragmatic maxim
• Pragmatic theory of truth

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• Semeiotic
• Semiotic information

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Related articles

• Jon Awbrey, “Introduction To Inquiry Driven Systems”

• Jon Awbrey, “Prospects For Inquiry Driven Systems”

• Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”

• Jon Awbrey, “Propositional Equation Reasoning Systems”

• Jon Awbrey, “Differential Logic : Introduction”

• Jon Awbrey, “Differential Propositional Calculus”

• Jon Awbrey, “Differential Logic and Dynamic Systems”

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.

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• Boolean Domain, MyWikiBiz
• Boolean Domain, MathWeb Wiki
• Boolean Domain, PlanetMath
• Boolean Domain, PlanetPhysics

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• Boolean Domain, Wikiversity Beta
• Boolean Domain, Wikinfo
• Boolean Domain, Textop Wiki
• Boolean Domain, Wikipedia

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