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Mathematician Quotes

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Mathematician Quotes

“I am exclusively occupied with the problem of gravitation and hope with the help of a local mathematician friend [Marcel Grossman] to overcome all the difficulties. One thing is certain, however, that never in life have I been quite so tormented. A great respect for mathematics has been instilled within me, the subtler aspects of which, in my stupidity, I regarded until now as pure luxury.”

“It is amusing to discover, in the twentieth century, that the quarrels between two lovers, two mathematicians, two nations, two economic systems, usually assumed insoluble in a finite period should exhibit one mechanism, the semantic mechanism of identification - the discovery of which makes universal agreement possible, in mathematics and in life.”

“The mathematician is entirely free, within the limits of his imagination, to construct what worlds he pleases. What he is to imagine is a matter for his own caprice; he is not thereby discovering the fundamental principles of the universe nor becoming acquainted with the ideas of God.”

“I hope that no one present will suspect me of offering my personal criticism of the Western system to present socialism as an alternative. Having experienced applied socialism in a country where the alternative has been realized, I certainly will not speak for it. The well-known Soviet mathematician Shafarevich, a member of the Soviet Academy of Science, has written a brilliant book under the title Socialism; it is a profound analysis showing that socialism of any type and shade leads to a total destruction of the human spirit and to a leveling of mankind into death.”

“One can re-create what was in the mind of a mathematician a thousand years ago, recapture the truth of the intellect wherever it may have once come to light; but the image of art, that infinite variable of perception and expression in the individual, - that is not easily re-created, at least, not with certainty and in its original fulness.”

“They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to fit the dictates of their intuition. In short, they broke all the laws of rigor and of mathematical decorum. The veritable orgy which followed the introduction of the infinitesimals... was but a natural reaction. Intuition had too long been held imprisoned by the severe rigor of the Greeks. Now it broke loose, and there were no Euclids to keep its romantic flight in check.”

“Ohm (a distinguished mathematician, be it noted) brought into order a host of puzzling facts connecting electromotive force and electric current in conductors, which all previous electricians had only succeeded in loosely binding together qualitatively under some rather vague statements. Even as late as 20 years ago, "quantity" and "tension" were much used by men who did not fully appreciate Ohm's law.”

“The concept of an independent system is a pure creation of the imagination. For no material system is or can ever be perfectly isolated from the rest of the world. Nevertheless it completes the mathematician's "blank form of a universe" without which his investigations are impossible. It enables him to introduce into his geometrical space, not only masses and configurations, but also physical structure and chemical composition. Just as Newton first conclusively showed that this is a world of masses, so Willard Gibbs first revealed it as a world of systems.”