Logical Graphs • Discussion 6

Re: Logical Graphs • First Impressions

Re: Academia.edu • Robert Appleton

RA:

As a professional graphic designer and non-mathematician reading your two diagrams, I need to ask for a simpler statement of their purpose.  What do Fig 1 and Fig 2 represent to you?  And what insight do they provide us?

Figures 1 and 2 are really just a couple of “in medias res” pump‑primers or ice‑breakers.  This will all be explained in the above linked blog post, where I’m revising the text and upgrading the graphics of some work I first blogged in 2008 based on work I did even further back.  I’ll be taking a fresh look at that as I serialize it here.

Those two Figures come from George Spencer Brown’s 1969 book Laws of Form, where he called them the Law of Calling and the Law of Crossing.  GSB revived and clarified central aspects of Peirce’s systems of logical graphs and I find it helpful to integrate his work into my exposition of Peirce.  For now you can think of those as exemplifying two core formal principles which go to the root of the mathematical forms underlying logical reasoning.

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