SCALING PRINCIPLE 1)2)
B. MANDELBROT distinguishes two different aspects of the scaling principle:
"A. Scaling principle of natural geometry: To assume that small and large features are identical except for scale is often a useful approximation in science.
"B. Scaling principle of mathematical geometry: To limit oneself to sets wherein small and large features are identical except for scale is often a convenient procedure in geometry.
He adds: "Part of my work consists in viewing B as having provided a collection of answers without questions and in setting them to work on the questions without answers summarized under A.
"The only fairly wide justification for A is that any sum of many effects satisfying a "central limit theorem" is scaling. This statement is, of course, too loose to be provable, yet a prudent addition of natural assumptions makes it into provable theorems or plausible conjectures"(1982, p.96).
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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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