Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 123, No. 792 http://doi.org/10.1098/rspa.1929.0094 (6 April 1929)
Context: The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
“Three principles — the conformability of nature to herself, the applicability of the criterion of simplicity, and the "unreasonable effectiveness" of certain parts of mathematics in describing physical reality — are thus consequences of the underlying law of the elementary particles and their interactions. Those three principles need not be assumed as separate metaphysical postulates. Instead, they are emergent properties of the fundamental laws of physics.”
TED talk on beauty and truth in physics —video timecode 14m28s (March 2007) http://ted.com/index.php/talks/murray_gell_mann_on_beauty_and_truth_in_physics.html.
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Murray Gell-Mann 10
American physicist 1929–2019Related quotes
The Evolution of the Physicist's Picture of Nature (1963)
Context: It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? One can only answer that our present knowledge seems to show that nature is so constructed. We simply have to accept it. One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe. Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 442.
Source: Why Stock Markets Crash - Critical Events in Complex Systems (2003), Chapter 2, Fundamentals Of Financial Markets, p. 38.
Time and Individuality (1940)
David Foster Wallace, author in 2006 article in the New York Times titled Federer as Religious Experience http://www.nytimes.com/2006/08/20/sports/playmagazine/20federer.html?pagewanted=all
governing their formation
As quoted in "On 'computabilism’ and physicalism: Some Problems" by Hao Wang, in Nature’s Imagination (1995), edited by J. Cornwall, p.161-189
Source: The Instinct of Workmanship and the State of the Industrial Arts, 1914, p. 67
Notice sur les Titres et Travaux scientifiques de Pierre Duhem rédigée par lui-même lors de sa candidature à l'Académie des sciences (mai 1913), The Aim and Structure of Physical Theory (1906)
[Lectures on Celestial Mechanics, https://books.google.com/books?id=mZtrCQAAQBAJ&pg=PA1] (p. 1)