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.

Syllabus

Focal nodes

Template:Col-break

• Inquiry Live

Template:Col-break

• Logic Live

Template:Col-end

Peer nodes

Template:Col-break

• Differential Logic @ Beta Wikiversity
• Differential Logic @ MyWikiBiz

Template:Col-break

• Differential Logic @ NetKnowledge
• Differential Logic @ 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
• Logic of information

Template:Col-break

• Descriptive science
• Normative science

Template:Col-break

• Pragmatic maxim
• Pragmatic theory of truth

Template:Col-break

• Semeiotic
• Semiotic information

Template:Col-end

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.

Template:Col-break

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

Template:Col-break

• Differential Logic, PlanetMath
• Differential Logic, PlanetPhysics
• Differential Logic, SemanticWeb
• Differential Logic, Google Knol
• Differential Logic, GetWiki

Template:Col-end
<sharethis />