Re: Operator Variables in Logical Graphs • 1
Re: Academia.edu • Stephen Duplantier

SD:

The best way for me to read Peirce is as if he was writing poetry.  So if his algebra is poetry — I imagine him approving of the approach since he taught me abduction in the first place — there is room to wander.  With this, I venture the idea that his “wide field” is a local algebraic geography far from the tended garden.  There, where weeds and wild things grow and hybridize are the non‑dichotomic mathematics.

“Abdeuces Are Wild”, as they say, maybe not today, maybe not tomorrow, but soon …

As far as my own guess, and a lot of my wandering in pursuit of it goes, I’d venture Peirce’s field of vision opens up not so much from dichotomic to trichotomic domains of value as from dyadic to triadic relations, and all that with particular significance into the medium of reflection afforded by triadic sign relations.

Resources

• Logic Syllabus
• Semeiotic
• Sign Relations
• Triadic Relations

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