“This idea is that laws which purport to be statements of what actually occurs are statistical in character as distinct from so-called dynamic laws that are abstract and mathematical, and disguised definitions. Recognition of the statistical nature of physical laws was first effected in the case of gases when it became evident that generalizations regarding the behavior of swarms of molecules were not descriptions or predictions of the behavior of any individual particle. A single molecule is not and cannot be a gas. It is consequently absurd to suppose that a scientific law is about the elementary constituents of a gas. It is a statement of what happens when a large number of such constituents interact with one another under certain conditions.”
Time and Individuality (1940)
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John Dewey 62
American philosopher, psychologist, and educational reformer 1859–1952Related quotes

Source: 1930s, Principles of topological psychology, 1936, p. 11.

“PHYSICAL LAWS REST ON ATOMIC STATISTICS AND ARE THEREFORE ONLY APPROXIMATE”
What Is Life? (1944)
Context: What we call thought (1) is itself an orderly thing, and (2) can only be applied to material, i. e. to perceptions or experiences, which have a certain degree of orderliness. This has two consequences. First, a physical organization, to be in close correspondence with thought (as my brain is with my thought) must be a very well-ordered organization, and that means that the events that happen within it must obey strict physical laws, at least to a very high degree of accuracy. Secondly, the physical impressions made upon that physically well-organized system by other bodies from outside, obviously correspond to the perception and experience of the corresponding thought, forming its material, as I have called it. Therefore, the physical interactions between our system and others must, as a rule, themselves possess a certain degree of physical orderliness, that is to say, they too must obey strict physical laws to a certain degree of accuracy.
PHYSICAL LAWS REST ON ATOMIC STATISTICS AND ARE THEREFORE ONLY APPROXIMATE

Albert Einstein: Philosopher-Scientist, Cambridge University Press, 1949, p. 672
"Einstein's Reply to Criticisms" (1949)
Miller (1956) "General behavior systems theory and summary". In: Journal of Counseling Psychology. 3 (2) 120-124. Cited in: Francis Ferguson (1975) Architecture, cities and the systems approach. p. 12

[Shewhart, Walter A., Deming, William E., Statistical Method from the Viewpoint of Quality Control, The Graduate School, The Department of Agriculture, 1939, 18]
Economic Control of Quality of Manufactured Product,1931

Source: Vestiges of the Natural History of Creation (1844), p. 170-171 ( 1846 edition http://books.google.com/books?id=UkoWAAAAYAAJ)
Context: This statistical regularity in moral affairs fully establishes their being under the presidency of law. Man is now seen to be an enigma only as an individual; in the mass he is a mathematical problem. It is hardly necessary to say, much less to argue, that mental action, being proved to be under law, passes at once into the category of natural things. Its old metaphysical character vanishes in a moment, and the distinction usually taken between physical and moral is annulled, as only an error in terms. This view agrees with what all observation teaches, that mental phenomena flow directly from the brain.