“Structure joins the evocative concept of paradigm, a disarmingly simple dialectic of scientific change (long periods of paradigmatic "normal science" punctuated by short "revolutions"), and the apparent authority of historical example to show that major conceptual shifts in the natural sciences are effected not by logical argument alone but also by appeals to worldviews, religion, metaphysical commitments, notions of simplicity and order, and so on. The view that science, like other thought systems, advances or retreats through rhetoric and persuasion, not by logical necessity, was a revelation to people who had never practiced it or studied its history. The book comforted social scientists who wanted to assimilate their discipline to physics, Luddites who blamed social problems on scientists and engineers, and everyone who rejected authority. It repelled the philosophers of science at which it was aimed for the good reason that it undercut their belief that scientific knowledge advances by the application of rational criteria to the products of observation and experiment.”

Thomas Samuel Kuhn: 18 July 1922-17 June 1996 (1998)

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American historian 1934

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“Among the various paradigmatic changes in science and mathematics in this century, one such change concerns the concept of uncertainty.”

George Klir (1932–2016) American computer scientist

In science, this change has been manifested by a gradual transition from the traditional view, which insists that uncertainty is undesirable in science and should be avoided by all possible means, to an alternative view, which is tolerant of uncertainty and insists that science cannot avoid it. According to the traditional view, science should strive for certainty in all its manifestations (precision, specificity, sharpness, consistency, etc.); hence, uncertainty (imprecision, nonspecificity, vagueness, inconsistency,etc.) is regarded as unscientific. According to the alternative (or modem) view, uncertainty is considered essential to science; it is not only an unavoidable plague, but it has, in fact, a great utility.
Source: Fuzzy sets and fuzzy logic (1995), p. 1.

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“…The present revolution of scientific thought follows in natural sequence on the great revolutions at earlier epochs in the history of science.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Einstein's special theory of relativity, which explains the indeterminateness of the frame of space and time, crowns the work of Copernicus who first led us to give up our insistence on a geocentric outlook on nature; Einstein's general theory of relativity, which reveals the curvature or non-Euclidean geometry of space and time, carries forward the rudimentary thought of those earlier astronomers who first contemplated the possibility that their existence lay on something which was not flat. These earlier revolutions are still a source of perplexity in childhood, which we soon outgrow; and a time will come when Einstein's amazing revelations have likewise sunk into the commonplaces of educated thought.
The Theory of Relativity and its Influence on Scientific Thought (1922), p. 31-32

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