“Ours, according to Leibnitz, is the best of all possible worlds, and the laws of nature can therefore be described in terms of extremal principles. Thus, arising from corresponding variational problems, the differential equations of mechanics have invariance properties relative to certain groups of coordinate transformations.”

[Lectures on Celestial Mechanics, https://books.google.com/books?id=mZtrCQAAQBAJ&pg=PA1] (p. 1)

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "Ours, according to Leibnitz, is the best of all possible worlds, and the laws of nature can therefore be described in t…" by Carl Ludwig Siegel?
Carl Ludwig Siegel photo
Carl Ludwig Siegel 3
German mathematician 1896–1981

Related quotes

Gerald James Whitrow photo

“We have assumed that the laws of nature must be capable of expression in a form which is invariant for all possible transformations of the space-time co-ordinates”

Gerald James Whitrow (1912–2000) British mathematician

The Structure of the Universe: An Introduction to Cosmology (1949)
Context: The philosophical consequences of the General Theory of Relativity are perhaps more striking than the experimental tests. As Bishop Barnes has reminded us, "The astonishing thing about Einstein's equations is that they appear to have come out of nothing." We have assumed that the laws of nature must be capable of expression in a form which is invariant for all possible transformations of the space-time co-ordinates and also that the geometry of space-time is Riemannian. From this exiguous basis, formulae of gravitation more accurate than those of Newton have been derived. As Barnes points out...

Murray Gell-Mann photo
John D. Barrow photo
Rudolf E. Kálmán photo

“We completely agree that description by differential equations is not only a clumsy but, in principle, inadequate way to deal with many problems of organization.”

Ludwig von Bertalanffy (1901–1972) austrian biologist and philosopher

Source: General System Theory (1968), 4. Advances in General Systems Theory, p. 97

Roger Shepard photo
Fidel Castro photo

“It is a fundamental principle of criminal law that an imputed offense must correspond exactly to the type of crime described by law. If no law applies exactly to the point in question, then there can be no offense.”

Fidel Castro (1926–2016) former First Secretary of the Communist Party and President of Cuba

Ibid. p. 53
History Will Absolve Me (October 16th, 1953)

Related topics