Searching for the insight to a GENERAL PRINCIPLE OR LAW of a complex system (or even any general system), to describe those JUST-RIGHT CONDITIONS (sometimes called Goldilocks principle) which lead to tipping points, emergence of new properties, new thresholds, order out of chaos
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It seems all such phenomena can only be discovered & explained later, rather than predicted, given what you know about the system (the variables, their relation to each other) makes all narratives about complexity, emergence tautological & magical why would it happen at all?
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these might matter for bringing about new emergent behavior/phenomena: • scale (size of the system, no. of variables & no. of interconnections/edges in the network) • resonance or resonant frequencies: (?) something to do with one-to-one correspondence between variables
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Replying to @learning20201
Absolutely agree with all of this. Discovery before explanation. This is a key problem with our modern disavowal of exploration, experience, and art over science.
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Replying to @DanielleFong @learning20201
It relates to the cascading rate doublings leading up to chaotic regimes. Well not just that. Sufficient complexity in the behavior hits a different threshold of emergent information exchange (intelligence).
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Replying to @GatWhale @DanielleFong
hmm... but do we have any principle to tell what is "Sufficient" before-hand?
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Replying to @learning20201 @DanielleFong
Probably newer and better thinking now, but a book I read about "The Edge of Chaos" suggested that self-organizing systems seem to find a sweet spot that is just chaotic enough. I don't think it is a measure, but a qualitative mode that is between periodic modes and full chaos.
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Replying to @GatWhale @DanielleFong
still need to dig into Ilya Prigogine's work on dissipative structures: self-organization in systems in far-from-equilibrium conditions and irreversibility (finally time becomes important in physics again!) https://en.wikipedia.org/wiki/Ilya_Prigogine#Research …pic.twitter.com/b32zM2v0LI
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Oh, that's an awesome reference! This is some of the sort of stuff I started working on in grad school until life took me elsewhere :D
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Replying to @DanielleFong @learning20201
I didn't start down this path until the NYT best seller, Chaos by Gleick and since have been on the lookout for these ideas where they appear. One inspiring direction was the book "Into the Cool" which was about living systems evolving to slow down the energy cascades with life.
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