„A model may be pictorial, descriptive, qualitative, or generally approximate in nature, or it may be mathematical and quantitative in nature and reasonably precise.“

Origine: Systems Engineering Tools, (1965), p. 108

Estratto da Wikiquote. Ultimo aggiornamento 03 Giugno 2021. Storia
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Harold Chestnut27
American engineer 1917 - 2001

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„In the quantitative models that appear in leading economics journals and textbooks, nature is taken to be a fixed, indestructible factor of production. The problem with the assumption is that it is wrong: nature consists of degradable resources.“

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„All acts of mathematical reasoning may… be considered but as applications of a corresponding axiom of quantity“

—  William Stanley Jevons English economist and logician 1835 - 1882

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Contesto: Aristotle's dictim... may then be formulated somewhat as follows:—Whatever is known of a term may be stated of its equal or equivalent. Or, in other words, Whatever is true of a thing is true of its like.... the value of the formula must be judged by its results;... it not only brings into harmony all the branches of logical doctrine, but... unites them in close analogy to the corresponding parts of mathematical method. All acts of mathematical reasoning may... be considered but as applications of a corresponding axiom of quantity...

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„Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.“

—  Alan Turing, Systems of Logic Based on Ordinals

"Systems of Logic Based on Ordinals," section 11: The purpose of ordinal logics (1938), published in Proceedings of the London Mathematical Society, series 2, vol. 45 (1939)
In a footnote to the first sentence, Turing added: "We are leaving out of account that most important faculty which distinguishes topics of interest from others; in fact, we are regarding the function of the mathematician as simply to determine the truth or falsity of propositions."
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„Mathematical physics represents the purest image that the view of nature may generate in the human mind; this image presents all the character of the product of art; it begets some unity, it is true and has the quality of sublimity; this image is to physical nature what music is to the thousand noises of which the air is full…“

—  Théophile de Donder Belgian physicist 1872 - 1957

as quoted by Ilya Prigogine in his Autobiography http://nobelprize.org/nobel_prizes/chemistry/laureates/1977/prigogine-autobio.html given at the occasion of Prigogine's 1977 Nobel Prize in Chemistry.

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„Revenge may be wicked, but it’s natural.“

—  William Makepeace Thackeray, Vanity Fair

Origine: Vanity Fair

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„Nature may not be benign, but she is reliable.“

—  James K. Morrow (1947-) science fiction author 1947

Origine: The Wine of Violence (1981), Chapter 13 (p. 157)

„As a mathematical object, the constitution is maximally simple, consistent, necessarily incomplete, and interpretable as a model of natural law. Political authority is allocated solely to serve the constitution.“

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There are no authorities which are not overseen, within nonlinear structures. Constitutional language is formally constructed to eliminate all ambiguity and to be processed algorithmically. Democratic elements, along with official discretion, and legal judgment, is incorporated reluctantly, minimized in principle, and gradually eliminated through incremental formal improvement. Argument defers to mathematical expertise. Politics is a disease that the constitution is designed to cure.
"A Republic, If You Can Keep It" https://web.archive.org/web/20140327090001/http://www.thatsmags.com/shanghai/articles/12321 (2013) (original emphasis)

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