Garrabrant’s finite factored sets feel to me like the same thing as a phase space of a dynamical system. The differences I can see are that phase spaces are not always finite, and that finite factored sets don’t have the context of a dynamical rule defined on them. They seem to share the property that every element in the set has exactly one coordinate in each dimension/is an element of exactly one partition of each factor.
[Question] How do finite factored sets compare with phase space?
Garrabrant’s finite factored sets feel to me like the same thing as a phase space of a dynamical system. The differences I can see are that phase spaces are not always finite, and that finite factored sets don’t have the context of a dynamical rule defined on them. They seem to share the property that every element in the set has exactly one coordinate in each dimension/is an element of exactly one partition of each factor.