Differential logic

Differential logic is the component of logic whose object is the successful description of variation — for example, the aspects of change, difference, distribution, and diversity — in universes of discourse that are subject to logical description. In formal logic, differential logic treats the principles that govern the use of a differential logical calculus, that is, a formal system with the expressive capacity to describe change and diversity in logical universes of discourse.

A simple example of a differential logical calculus is furnished by a differential propositional calculus. This augments ordinary propositional calculus in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.

Readings

• Differential Logic : Introduction

• Differential Logic and Dynamic Systems

Resources

• Differential Logic @ ThoughtMesh

• Differential Propositional Calculus @ PlanetMath

• Differential Propositional Calculus @ PlanetPhysics

Syllabus

Focal nodes

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• Inquiry Live

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• Logic Live

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Peer nodes

• Differential Logic @ Beta Wikiversity
• Differential Logic @ MyWikiBiz
• Differential Logic @ NetKnowledge
• Differential Logic @ SemanticWeb

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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• Differential Logic, MyWikiBiz
• Differential Logic, Beta Wikiversity
• Differential Logic, MathWeb Wiki
• Differential Logic, NetKnowledge
• Differential Logic, P2P Foundation

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• Differential Logic, PlanetMath
• Differential Logic, PlanetPhysics
• Differential Logic, Semantic Web
• Differential Logic, Google Knol
• Differential Logic, GetWiki

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