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Organizations and their Effectiveness (2019)/autocatalysis
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'''Assumption 1''': Complex nodes require either complex inputs, complex transformations, or a conveniently-arranged environment to be reproduced in self-sustaining cycles. : e.g., nodeComplexity ~ f(inputComplexity, cycleComplexity, environmentStructure) :: Where f is increasing in each of the three variables and has some degree of substitutability between them '''Assumption 2''': Simple cycles are more robust (i.e., survivable) than complex cycles '''Theorem 1a''': Complex nodes are more likely to be produced in low-entropy environments '''Theorem 1b''': Complex nodes are more likely to be produced in environments rich in complex inputs '''Assumption 3''': Environmental entropy can only be [is most easily?] lowered by autocatalytic cycles '''Theorem 2''': Complex nodes are more likely to be produced in cycles that are near* cycles which lower the entropy of the environment (Stigmergy) '''Theorem 3''': Complex nodes are more likely to be produced in cycles that are near* cycles which produce complex nodes, giving them access to complex inputs (multiple networks) '''Assumption 4''': A cycle interacting with another cycle is more likely to change than one interacting with a simple environment. '''Theorem 4''': ''Therefore, the very conditions that support the survival of complex-node-producing cycles (e.g., stigmergy links or I/O links to other cycles) increase the likelihood of the cycle changing. Also, we should look to these links to identify the source of cycle change. '' '''Jon Comments:''' A1: What do you mean by complex nodes? That they exist in multiple network structures? And inputs? A2: True, if simple means the length of the cycle and/or the number of subcycles. And if survival means lasts longer before transitioning to a different, simpler topology. T1a: Hm, interpreting this with the above definitions is hard. T1B: Ditto A3: To me, autocatalysis is interesting when starting with low entropy. Higher entropy implies the self-organization process has already happened. So all cycles should start with low entropy and then we see where it goes from there. Other As and Ts: prolly better after we talk some more. In general, I think the 4th (i think) chapter in the book, the multiple network models, is far too speculative and has a tendency to put the horse before the cart in that it assumes the order we wish to explain. <nowiki>*</nowiki> "near" is imprecise, and Jon had a critique of its meaning]
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