Sole sufficient operator

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

A sole sufficient operator or a sole sufficient connective is an operator that is sufficient by itself to generate all of the operators in a specified class of operators. In logic, it is a logical operator that suffices to generate all of the boolean-valued functions, \(f : X \to \mathbb{B} \), where \(X\!\) is an arbitrary set and where \(\mathbb{B}\) is a generic 2-element set, typically \(\mathbb{B} = \{ 0, 1 \} = \{ false, true \}\), in particular, to generate all of the finitary boolean functions, \( f : \mathbb{B}^k \to \mathbb{B} \).

Syllabus

Focal nodes

Template:Col-break

• Inquiry Live

Template:Col-break

• Logic Live

Template:Col-end

Peer nodes

Template:Col-break

• Sole Sufficient Operator @ MyWikiBiz
• Sole Sufficient Operator @ MathWeb Wiki
• Sole Sufficient Operator @ NetKnowledge

Template:Col-break

• Sole Sufficient Operator @ OER Commons
• Sole Sufficient Operator @ P2P Foundation
• Sole Sufficient Operator @ SemanticWeb

Template:Col-end

Logical operators

Template:Col-break

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

Template:Col-break

• Logical implication
• Logical NAND
• Logical NNOR
• Negation

Template:Col-end

Related topics

Template:Col-break

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

Template:Col-break

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

Template:Col-break

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

Template:Col-end

Relational concepts

Template:Col-break

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

Template:Col-break

• Relation
• Relation composition
• Relation construction
• Relation reduction

Template:Col-break

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

Template:Col-end

Information, Inquiry

Template:Col-break

• Inquiry
• Dynamics of inquiry

Template:Col-break

• Semeiotic
• Logic of information

Template:Col-break

• Descriptive science
• Normative science

Template:Col-break

• Pragmatic maxim
• Truth theory

Template:Col-end

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.

Template:Col-break

• Sole Sufficient Operator, MyWikiBiz
• Sole Sufficient Operator, MathWeb Wiki
• Sole Sufficient Operator, NetKnowledge
• Sole Sufficient Operator, P2P Foundation
• Sole Sufficient Operator, PlanetMath
• Sole Sufficient Operator, PlanetPhysics

Template:Col-break

• Sole Sufficient Operator, SemanticWeb
• Sole Sufficient Operator, Wikiversity Beta
• Sole Sufficient Operator, GetWiki
• Sole Sufficient Operator, Wikinfo
• Sole Sufficient Operator, Textop Wiki
• Sole Sufficient Operator, Wikipedia

Template:Col-end
<sharethis />