Monthly Archives: September 2024

Duality : Logical and Topological (concl.) We have now treated in some detail various forms of the axiom or initial equation which is formulated in string form as “( ( ) ) =    ”.  For the sake of comparison, let’s record the planar and dual … Continue reading →

Duality : Logical and Topological (cont.) It is easy to see the relation between the parenthetical expressions of Peirce’s logical graphs, showing their contents in order of containment, and the corresponding dual graphs, forming a species of rooted trees to be … Continue reading →

Duality : Logical and Topological (cont.) Last time we took up the axiom or initial equation shown below. (3) We noted it could be written inline as “( ( ) ) =    ” or set off in the following text display. ( ( ) ) =     When we turn … Continue reading →

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 … Continue reading →