The most fundamental concept in cybernetics is that of “difference”, either that two things are recognisably different or that one thing has changed with time.
Re: Cybernetics Communications • Klaus Krippendorff
- KK:
- To me, differences are the result of drawing distinctions. They don’t exist unless you actively draw them. So, the act of drawing distinctions is more fundamental than the differences thereby created.
I often return to that line from Ashby. This time I thought it made an apt segue from the scene of propositional calculus, where universes of discourse are ruled by collections of distinctive features, to the differential extension of propositional calculus, which enables us to describe trajectories within and transformations between our logical universes.
So I agree with Klaus Krippendorff about “which came first”, the distinctions drawn or the states distinguished in space or time. The primitive character of distinctions is especially salient in this setting since our formalism for propositional calculus is built on the forms of distinction pioneered by C.S. Peirce and augmented by George Spencer Brown.
Resources
- Differential Propositional Calculus • Part 1 • Part 2
- Differential Logic • Part 1 • Part 2 • Part 3
- Differential Logic and Dynamic Systems
• Part 1 • Part 2 • Part 3 • Part 4 • Part 5
cc: Cybernetics • Ontolog • Peirce List (1) (2) • Structural Modeling • Systems Science
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Congratulations on the blog! We can say that emptiness came first, as it is the basis of the invention of mathematics, our perception and numerical base 2. Do you agree or disagree?
A great many things in life and mathematics are built up through the persistent application of the most elementary steps to the humblest of beginnings. So there may be something to that.
Thanks for the answer, Jon, I’ve been discussing this topic on my blog too. I even used a lot of artificial intelligence to deal with this topic. Here’s one of my posts.
Treatment of the Axiom : Mathematics (M) ∩ Physics (P) = ∅ : There Is No Mathematics Embedded In Physics Nor Embedded In Reality
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