>"A complex system exhibits emergence, according to the new framework, by organizing itself into a hierarchy of levels that each operate independently of the de

>"A complex system exhibits emergence, according to the new framework, by organizing itself into a hierarchy of levels that each operate independently of the details of the lower levels. The researchers suggest we think about emergence as a kind of “software in the natural world.” Just as the software of your laptop runs without having to keep track of all the microscale information about the electrons in the computer circuitry, so emergent phenomena are governed by macroscale rules that seem self-contained, without heed to what the component parts are doing. Using a mathematical formalism called computational mechanics, the researchers identified criteria for determining which systems have this kind of hierarchical structure." [...] >"Indeed, the degrees of freedom, or independent variables, that capture the behavior of these systems at microscopic and macroscopic scales have precisely the relationship that the theory predicts." Related: https://en.wikipedia.org/wiki/Hierarchy https://en.wikipedia.org/wiki/Hierarchy https://en.wikipedia.org/wiki/Dimension https://en.wikipedia.org/wiki/Dimension https://en.wikipedia.org/wiki/Degrees_of_freedom https://en.wikipedia.org/wiki/Degrees_of_freedom https://en.wikipedia.org/wiki/Phase_space https://en.wikipedia.org/wiki/Phase_space https://en.wikipedia.org/wiki/Computational_mechanics https://en.wikipedia.org/wiki/Computational_mechanics https://en.wikipedia.org/wiki/Partial_differential_equation https://en.wikipedia.org/wiki/Partial_differential_equation https://en.wikipedia.org/wiki/Self-organization https://en.wikipedia.org/wiki/Self-organization (a.k.a. "Self Organizing System(s)") https://en.wikipedia.org/wiki/Consciousness https://en.wikipedia.org/wiki/Consciousness https://news.ycombinator.com/item?id=39860388 https://news.ycombinator.com/item?id=39860388 https://en.wikipedia.org/wiki/Emergence https://en.wikipedia.org/wiki/Emergence And they're all related! Magic!