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Paul Grobstein's picture

more on logic AND "irrationality"

Getting there from a different direction ...

"no fixed center ... unconstrained by the need for consistency" is indeed a good characterization of Minsky, the frog brain, and probably in those respects a good metaphor for World Literature as well.
 
There is an interesting cross connect between this conversation and an exploration of "Chance" in which it is emerging that "consistency" is an important element of some mind/brain/inquiry processes and a less important part of others

Maybe there's a general principle here, equally relevant in several different contexts: one doesn't have to choose, one can have both rationality and inconsistency/randomness?  One uses the "irrational"  at the outset and then "filters"/generates additional possibilities with formal systems, instead of doing the filtering using formal systems at the start?  A couple of relevant books along these lines that might be useful to sort out various meanings of the "irrational" and their relation to formal systems and indeterminacy ...

Gut Feelings: The Intelligence of the Unconscious by Gerd Gigerenzer

The Bit and the Pendulum: The New Physics of Information by Tom Siegfreid

Also relevant along these lines ...

Making sense of understanding: the three doors of Serendip

 

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