Relation construction

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

In logic and mathematics, relation construction and relational constructibility have to do with the ways that one relation is determined by an indexed family or a sequence of other relations, called the relation dataset. The relation in the focus of consideration is called the faciendum. The relation dataset typically consists of a specified relation over sets of relations, called the constructor, the factor, or the method of construction, plus a specified set of other relations, called the faciens, the ingredients, or the makings.

Relation composition and relation reduction are special cases of relation constructions.

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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• Relation Construction @ MyWikiBiz
• Relation Construction @ MathWeb Wiki
• Relation Construction @ NetKnowledge

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• Relation Construction @ OER Commons
• Relation Construction @ P2P Foundation
• Relation Construction @ 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
• Dynamics of inquiry

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• Semeiotic
• 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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Related articles

• Jon Awbrey, “Semiotic Information”

• 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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• Relation Construction, MyWikiBiz
• Relation Construction, MathWeb Wiki
• Relation Construction, NetKnowledge
• Relation Construction, OER Commons
• Relation Construction, P2P Foundation

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• Relation Construction, Semantic Web
• Relation Construction, PlanetMath
• Relation Construction, GetWiki
• Relation Construction, Wikinfo
• Relation Construction, Wikipedia

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