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Animated Logical Graphs • 43
Re: FB | Ecology Of Systems Thinking • Richard Saunders RS: I wonder if we might find such graphs in the physical microstructures of brains, cells, proteins, etc. Dear Richard, You are reading my...
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Animated Logical Graphs • 44
Re: FB | Ecology Of Systems Thinking • Richard Saunders RS: DNA and proteins might be good places to look for logical graphs in nature since our tech for mapping those structures has become fairly...
View ArticleTheme One • A Program Of Inquiry 19
Re: Richard J. Lipton • Knowledge Is Good It’s the usual thing to say scientific inquiry involves a combination of deductive and inductive reasoning. A slightly different, 3-phase model, going back to...
View ArticleTheme One • A Program Of Inquiry 20
Re: Richard J. Lipton • Vaccines Are Not Developing Back in the day when I was making The Big Bucks (time-adjusted dollars) consulting on research statistics in bioscience-medical-nursing-public-health...
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Animated Logical Graphs • 45
Re: Richard J. Lipton • The Art Of Math There’s a nice interplay between geometric and logical dualities in C.S. Peirce’s graphical systems of logic, rooted in his discovery of the amphecks and and...
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Animated Logical Graphs • 46
Re: Richard J. Lipton • The Art Of Math Re: Animated Logical Graphs • (30) (45) Another way of looking at Peirce duality is given by the following Table, which shows how logical graphs denote boolean...
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Animated Logical Graphs • 47
Re: Richard J. Lipton • The Art Of Math Re: Animated Logical Graphs • (30) (45) (46) A logical concept represented by a boolean variable has its extension, the cases it covers in a designated universe...
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Animated Logical Graphs • 48
Re: Richard J. Lipton • The Art Of Math Re: Animated Logical Graphs • (30) (45) (46) (47) A more graphic picture of Peirce duality is given by the next Table, which shows how logical graphs map to venn...
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Animated Logical Graphs • 49
Re: Richard J. Lipton • The Art Of Math Re: Animated Logical Graphs • (30) (45) (46) (47) (48) Dualities are symmetries of order two and symmetries bear on complexity by reducing its measure in...
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Animated Logical Graphs • 50
Re: Richard J. Lipton • The Art Of Math Re: Animated Logical Graphs • (30) (45) (46) (47) (48) (49) In our last of six ways of looking at the Peirce duality between entitative and existential...
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Animated Logical Graphs • 51
Re: Richard J. Lipton • The Future Of Mathematics? • Is The End Near? Synchronicity being what it is, a long-running discussion on the Peirce List just gave me a handy bridge to a topic I’ve been...
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Animated Logical Graphs • 52
Re: Richard J. Lipton • The Future Of Mathematics? • Is The End Near? Re: Peirce List • Jon Alan Schmidt Peirce’s explorations in logic and the theory of signs opened several directions of...
View ArticleCharles Sanders Peirce, George Spencer Brown, and Me • 11
There’s a new Laws of Form group in town. James Bowery et al. have just revived the earlier group on a new platform and everything looks pretty handy so far. There’s an honest-to-goodness 60s vibe...
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Animated Logical Graphs • 53
A lot of the work I’ve been doing on the C.S. Peirce/Spencer Brown approach to “the mathematical hypostases underlying logic” currently goes under the heading of Animated Logical Graphs. There’s a...
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Charles Sanders Peirce, George Spencer Brown, and Me • 12
Re: Laws of Form • Dirk Baecker DB: Thanks to James Bowery for inviting me to this group. Maybe it is not exactly what I am looking for, since I am interested in a sociological reading of LoF. Which...
View ArticleCharles Sanders Peirce, George Spencer Brown, and Me • 13
Re: Laws of Form • Dirk Baecker DB: I guess you know Fernando Zalamea’s work on Peirce. He thinks that all of GSB’s important ideas are already in Peirce’s Existential Graphs. I think he may be right,...
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Animated Logical Graphs • 54
Re: Peter Cameron • Doing Research Re: Gil Kalai • Chomskian Linguistics Oneirocritical Interlude Speaking of dreams, the night before last I had a dream where I was listening to a lecturer and...
View ArticleAnimated Logical Graphs • 55
Re: Laws of Form • William Bricken WB: 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...
View ArticleCharles Sanders Peirce, George Spencer Brown, and Me • 14
Re: C.S. Peirce, Spencer Brown, and Me • 11 Re: Laws of Form • Dirk Baecker DB: Watzlawick’s request for a pragmatic calculus of communication up to now was never appropriately answered. W. Barnett...
View ArticleCharles Sanders Peirce, George Spencer Brown, and Me • 15
Re: C.S. Peirce, Spencer Brown, and Me • 11 Re: Ontolog Forum • Michael DeBellis MDB: I’ve just started taking Peirce seriously in the last year or so and some of his more complex ideas still aren’t...
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