07 May 2019

Nature and mathematics II


"Nature always acts in the mathematically shortest and best possible way." (Robert Grosseteste)

"Look deep, deep, deep into nature, and then you will understand everything." (Albert Einstein)

"Our experience hitherto justifies us in believing that nature is the realization of the simplest conceivable mathematical ideas.” (Albert Einstein)

"The human understanding is of its own nature prone to abstractions and gives us a substance and reality to thing which are fleeting. But to resolve nature into abstractions is less to our purpose than to dissect her into parts.” (Francis Bacon)

“For many parts of nature can neither be invented with sufficient subtlety nor demonstrated with sufficient perspicuity nor accommodated unto use with sufficient dexterity, without the aid and intervening of mathematics.” (Francis Bacon, "Advancement of Learning", 1605)

"The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living." (Henri Poincare)

"One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics." (Henri Poincare)

"[…] the desire to understand nature has had on the development of mathematics the most important and happiest influence.” (Henri Poincare)

"The profound study of nature is the most fertile source of mathematical discoveries." (Joseph Fourier)

"[…] a mathematician experiences in his work the same expression as an artist; his pleasure is as great and of the same nature." (Henri Poincare)

"All the effects of nature are only mathematical results of a small number of immutable laws.”  (Pierre Simon de Laplace)

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