Animated Logical Graphs • 55

Re: Laws of FormWilliam Bricken

Kauffman’s 2001 piece on “Peirce” (title is “The Mathematics of Charles Sanders Peirce” [PDF]) is IMO fundamental to this discussion.
Here’s a brief excerpt from a piece I did in 2005:
“Boundary Logic and Alpha Existential Graphs (AEG)”

4.3  LoF and Alpha Graphs Compared

AEG applies the diagrammatic structure of enclosure specifically to logic. The representations of LoF and AEG are isomorphic, while the systems of transformation rules are remarkably close to being the same.  …

Dear William,

Many thanks for your excerpt.  It highlights many of the most critical points in comparing the systems of Peirce and Spencer Brown so I’ll take up the topic of duality first.  Over the years I’ve always found that to be one of the stickier wickets in the whole field.  I’ll discuss it in my Animated Logical Graphs series as that’s where I’ve recently redoubled my efforts to explain the issue and why it’s important.



cc: Cybernetics (1) (2)Laws of FormFB | Logical Graphs • Ontolog Forum (1) (2)
• Structural Modeling (1) (2) • Systems Science (1) (2)

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.

4 Responses to Animated Logical Graphs • 55

  1. Pingback: Survey of Animated Logical Graphs • 3 | Inquiry Into Inquiry

  2. Pingback: Animated Logical Graphs • 56 | Inquiry Into Inquiry

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

  4. Pingback: Survey of Animated Logical Graphs • 5 | Inquiry Into Inquiry

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.