Domestic spaces are approximate examples of exactly constrained spaces. A place for everything and everything in its place. There is a unique solution but it’s a satisficing one. The optimization problem is degenerate. Everything is rendered unique by the context.https://twitter.com/vgr/status/1150539195959541761 …
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Only systems that are underconstrained can be meaningfully optimized. The optimum is also a stable equilibrium of the utility function which can be destabilized and stabilized continuously. Performance degraded smoothly away from the optimum.
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Exactly constrained systems cannot be meaningfully optimized or stabilized. They can only only be sufficiently deranged to be “broken” by de-satisficing 1+ constraints. Solution is an “arrangement”. There may be multiple satisficing arrangements among which you’re indifferent.
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A symptom of such a space is that things don’t have names or serial number type identifiers. The satisficing arrangement is sufficiently determinative of states of all components that you don’t need names/ids. Name/number ids are a sign of underconstrained optimized spaces.
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When a utility function picks out a unique element from a satisficing set, that picking process induces a cardinal ordering among elements with multiplicity. Those then form the basis of names/ids. Think of a utility function as creating a “status” competition among elements.
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2 people, 2 chairs = “my chair” and “your chair” 2 people, 10 chairs = “best chair, second best chair...” or a set of 10 names.
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