Charles Sanders Peirce, George Spencer Brown, and Me • 19

Re: Laws of Form • James Bowery

JB:

I’m interested in those who have approached the notion of self‑duality from the meta‑perspective of switching perspectives between Directed Cyclic Graphs of NiNAND and NiNOR gates (Ni for N‑Inputs à la boolean network theory).  The burgeoning interest in what might be called “The Self‑Simulation Hypothesis” founded on the notion of self‑duality rather demands this meta‑perspective.

As far as logical graphs and boolean functions go, the main form of duality occupying me for the last half century has been the duality between existential and entitative interpretations of logical graphs for propositional calculus.  That duality points to a deeper mathematical unity underlying the diversity of logical interpretation.  To my way of thinking, that unity of form is the most significant fact Peirce discovered about the relationship between mathematics and logic.  Sheffer, Huntington, Spencer Brown, and all the most perceptive writers who followed Peirce, have been able to appreciate its fundamental status.

Various folks who are likely to be reading this now will recognize how various subsets of us have been through the whole array of tangent topics and issues at varying levels of attention and interest for a very long time, so I will take a moment to check my notes and see what seems most salient for current concerns.

Resources

• Ampheck
• Logic Syllabus
• Survey of Animated Logical Graphs
• Survey of Theme One Program

cc: Academia.edu • BlueSky • Laws of Form • Ma^thstodon • Research Gate
cc: Conceptual Graphs • Cybernetics • Structural Modeling • Systems Science