„All realism derives from the analysis of knowledge; all idealism derives from the analysis of a thought.“

Étienne Gilson
1884 - 1978
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„Perfect knowledge of such things cannot be acquired without divine inspiration, given that all prophetic inspiration derives its initial origin from God Almighty, then from chance and nature.“

—  Nostradamus French apothecary and reputed seer 1503 - 1566
Context: Perfect knowledge of such things cannot be acquired without divine inspiration, given that all prophetic inspiration derives its initial origin from God Almighty, then from chance and nature. Since all these portents are produced impartially, prophecy comes to pass partly as predicted. For understanding created by the intellect cannot be acquired by means of the occult, only by the aid of the zodiac, bringing forth that small flame by whose light part of the future may be discerned. We need god to prosper those without him will not.

„Empiricism and positivism share the common view that scientific knowledge should in some way be derived from the facts arrived at by observation.“

—  Alan Chalmers Australian philosopher of science 1939
Chapter 1, Science as knowledge derived form the facts of experience, p. 3.

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„The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching.“

—  Benjamin Peirce American mathematician 1809 - 1880
Context: The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims; and neither law can rule nor theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison with observation, and thereby measures the strength of the argument from observation in favor of a proposed law or of a proposed form of application of a law. Mathematics, under this definition, belongs to every enquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid. The laws of argument admit of simple statement, but they must be curiously transposed before they can be applied to the living speech and verified by, observation. § 1.

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„Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge.“

—  Auguste Comte French philosopher 1798 - 1857
Bk. 1, chap. 1; as cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/81/mode/2up, (1914), p. 224

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„The failure of the social sciences to think through and to integrate their several responsibilities for the common problem of relating the analysis of parts to the analysis of the whole constitutes one of the major lags crippling their utility as human tools of knowledge.“

—  Robert Staughton Lynd American sociologist 1892 - 1970
R.S. Lynd (1939) Knowledge of what? p. 15, cited in Karl William Kapp (1976), The nature and significance of institutional economics http://onlinelibrary.wiley.com/doi/10.1111/j.1467-6435.1976.tb01971.x/abstract. in: Kyklos, Vol 29/2, Jan 1976, p. 209

„Facet analysis results in more varied, multidimensional relationships, at least in theory, better reflecting the complexity of subject knowledge“

—  Brian Campbell Vickery British information theorist 1918 - 2009
Vickery (1960, p. 13) as cited in: Steven Blake Shubert (1996) Subject Access to Museum Objects p. 429.

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