INVARIANCE (Time) 2)
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The invariance of the set of states of a system that do not change in time.
What may change is the presence of the system in one or another state. Even so, this is a quite theoretical state of affairs, based mainly on the hypothesis that the different states do not influence each other.
According to H. MARGENAU (quoted by A.D. HALL & R.E. FAGEN) the absence of time in the equations describing a system is the very essence of causality (in its strictly deterministic sense). It is the case for "a system completely specified by n variables x1,x2,…xn.. Then… the state of the system is uniquelely describable by a set of n numbers. To borrow terminology from physics, the set of all points in n-dimensions is called phase space" (1956, p.25).
This type of description becomes thus an algorithm with a well characterized content, even if it may correspond to a matrix of probabilities. (See "Markovian matrixes").
However, "When the constants of the set become functions of time, as in progressive segregation or systemization, the definition is no longer satisfied" (Ibid).
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Bertalanffy Center for the Study of Systems Science(2020).
To cite this page, please use the following information:
Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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