Duality : Logical and Topological

In using logical graphs there are two types of duality to consider, logical duality and topological duality.

Graphs of the order Peirce considered, those embedded in a continuous manifold like that represented by a plane sheet of paper, can be represented in linear text by what are called traversal strings and parsed into pointer structures in computer memory.

A blank sheet of paper can be represented in linear text as a blank space, but that way of doing it tends to be confusing unless the logical expression under consideration is set off in a separate display.

For example, consider the axiom or initial equation shown below.

(3)

That can be written inline as “( ( ) ) =    ” or set off in the following text display.

( ( ) ) =    

Resources

• Logical Graphs
• Survey of Animated Logical Graphs

cc: FB | Logical Graphs • Laws of Form • Ma^thstodon • Academia.edu
cc: Conceptual Graphs • Cybernetics • Structural Modeling • Systems Science