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Equations Quotes

“I found myself wishing that the rest of mankind would follow the engineers' example and agree on a series of symbols which could point incontrovertibly to certain elusive, vaporous and often painful psychological states — a code which might help us feel less tongue-tied and less lonely, and enable us to resolve arguments with swift and silent exchanges of equations.”

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Book:The Pleasures and Sorrows of Work
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“The integrals which we have obtained are not only general expressions which satisfy the differential equation, they represent in the most distinct manner the natural effect which is the object of the phenomenon... when this condition is fulfilled, the integral is, properly speaking, the equation of the phenomenon; it expresses clearly the character and progress of it, in the same manner as the finite equation of a line or curved surface makes known all the properties of those forms.”

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Author:Jean-Baptiste-Joseph Fourier
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“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

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Book:The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill
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“If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).”

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Book:The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward
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“The quantum hypothesis will eventually find its exact expression in certain equations which will be a more exact formulation of the law of causality.”

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Book:The new science: 3 complete works: Where is science going? The universe in the light of modern physics; The philosophy of physics
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“If time is treated in modern physics as a dimension on a par with the dimensions of space, why should we a priori exclude the possibility that we are pulled as well as pushed along its axis? The future has, after all, as much or as little reality as the past, and there is nothing logically inconceivable in introducing, as a working hypothesis, an element of finality, supplementary to the element of causality, into our equations. It betrays a great lack of imagination to believe that the concept of "purpose" must necessarily be associated with some anthropomorphic deity.”

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Author:Arthur Koestler
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“Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the "language."”

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Author:John Backus
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“Man is naturally self-centered and he is inclined to regard expediency as the supreme standard for what is right and wrong. However, we must not convert an inclination into an axiom that just as man's perceptions cannot operate outside time and space, so his motivations cannot operate outside expediency; that man can never transcend his own self. The most fatal trap into which thinking may fall is the equation of existence and expediency.”

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Author:Abraham Joshua Heschel
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“Spirituality is much wider than any particular religion, and in the larger ideas of it that are now coming on us even the greatest religion becomes no more than a broad sect or branch of the one universal religion, by which we shall understand in the future man's seeking for the eternal, the divine, the greater self, the source of unity and his attempt to arrive at some equation, some increasing approximation of the values of human life with the eternal and the divine values.”

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Book:Bulletin
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“Consider paint a film of light reflecting/absorbing material, and a colored paint a material which gives a particular, characteristic transmission of light via differential absorption and reflection. Call this reflected quality 'luminance' and measure it in millilamberts. This measure is as real and present as height, breadth, depth; and I find the phenomenon equally sumptuous and convincing. . . . Painted light, not color, not form, not perspective, or line, not image, or words, or equations, is painting. I make paintings which do not represent light, they are light.”

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Author:Jo Baer
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