Animated Logical Graphs • 79

Re: Category TheoryHenry Story

HS:
I think in this 2020 Applied Category Theory talk by Rocco Gangle, A Generic Figures Reconstruction of Peirce’s Existential Graphs (Alpha), he is looking at showing how Peirce’s work can be expressed in terms of Category Theory.

I looked at that once, I think.  I seem to recall he is still using the planar maps which I consider the mark of a novice, but I will give it another look.

Okay, I see he introduces forests about half-way through, that’s a good thing, but he’s not up to cacti yet, which is something I found necessary early on for the sake of both conceptual and computational efficiency.  So there’s a few things I will need to explain …

I started working on logical graphs early in my undergrad years, after my encounter with Peirce’s Collected Papers, quickly followed by my study of Spencer Brown’s Laws of Form, and from the outset trying everything I could hack by way of syntax handlers and theorem provers in every mix of languages and machines I got my hands on.  That combination of forces and media summed to form my current direction.

Peirce broke ground and laid the groundwork, Spencer Brown shored up the infrastructure of primary arithmetic and leveled the proving grounds to facilitate equational inference, and a host of computers supplied the real-world recalcitrance of matter, the resistance to facile simplicity, and the rebuke of all too facile reductionism.

Resources

cc: Peirce List (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17)
cc: Category Theory • Cybernetics (1) (2) • Ontolog Forum (1) (2)
cc: Structural Modeling (1) (2) • Systems Science (1) (2)
cc: FB | Logical GraphsLaws of Form

This entry was posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization and tagged , , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

1 Response to Animated Logical Graphs • 79

  1. Pingback: Survey of Animated Logical Graphs • 4 | Inquiry Into Inquiry

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