Quote
"This letter, if judged by the novelty and profundity of ideas it contains, is perhaps the most substantial piece of writing in the whole literature of mankind."
H
Hermann Weyl"It seems clear that [set theory] violates against the essence of the continuum, which, by its very nature, cannot at all be battered into a single set of elements. Not the relationship of an element to a set, but of a part to a whole ought to be taken as a basis for the analysis of a continuum."
Hermann Klaus Hugo Weyl was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, he is associated with the University of Göttingen tradition of mathematics, represented by Carl Friedrich Gauss, David Hilbert and Hermann Minkowski.
Hermann Klaus Hugo Weyl was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, he is associated with the University of Göttingen tradition of mathematics, represented by Carl Friedrich Gauss, David Hilbert and Hermann Minkowski.
View all quotes by Hermann Weyl"This letter, if judged by the novelty and profundity of ideas it contains, is perhaps the most substantial piece of writing in the whole literature of mankind."
"Consciousness spreads out its web, in the form of time, over reality."
"In the realm of physics it is perhaps only the theory of relativity which has made it quite clear that the two essences, space and time, entering into our intuition, have no place in the world constructed by mathematical physics. Colours are thus "really" not even æther-vibrations, but merely a series of values of mathematical functions in which occur four independent parameters corresponding to the three dimensions of space, and the one of time."
"We now come to a decisive step of mathematical abstraction: we forget about what the symbols stand for... [The mathematician] need not be idle; there are many operations which he may carry out with these symbols, without ever having to look at the things they stand for."
"With Mies view of matter there is contrasted another, according to which matter is a limiting singularity of the field, but charges and masses are force-fluxes in the field. This entails a new and more cautious attitude towards the whole problem of matter."
"Hermann Weyl was both a mathematician and a mathematical physicist. Weyl wrote on mathematics, general relativity... quantum mechanics... art and philosophy. His smaller book on philosophy is entitled The Open World. It is made up of lectures... in 1932 at Yale University. In the philosophy of science, according to Weyl, complexity is essential in understanding the concept of a law of nature. If laws of nature may be arbitrarily complex, he argued, the very concept... becomes vacuous. What difference would remain... if the laws meant to explain them were as complex as the phenomena they are meant to explain? Laws of nature must be simple."
"[explaining to Ernie how April apologized to him] She just showed up at the factory, took off her coat, and begged me to take her. We made love in a way that Ive only ever seen in nature films."
"All men suppose what is called Wisdom to deal with the first causes and the principles of things; so that, as has been said before, the man of experience is thought to be wiser than the possessors of any sense-perception whatever, the artist wiser than the men of experience, the masterworker than the mechanic, and the theoretical kinds of knowledge to be more of the nature of Wisdom than the productive."
"The yarns of seamen have a direct simplicity, the whole meaning of which lies within the shell of a cracked nut. But Marlow was not typical (if his propensity to spin yarns be excepted), and to him the meaning of an episode was not inside like a kernel but outside, enveloping the tale which brought it out only as a glow brings out a haze, in the likeness of one of these misty halos that sometimes are made visible by the spectral illumination of moonshine."
"Going up that river was like traveling back to the earliest beginnings of the world, when vegetation rioted on the earth and the big trees were kings. An empty stream, a great silence, an impenetrable forest. The air was warm, thick, heavy, sluggish. There was no joy in the brilliance of sunshine. The long stretches of the waterway ran on, deserted, into the gloom of overshadowed distances."
"The intimate rapport with nature is one of the most precious things in life. Nature is indeed very close to us; sometimes closer than hands and feet, of which in truth she is but the extension. The emotional appeal of nature is tremendous, sometimes almost more than one can bear."
"Are people naturally destructive, immoral, predatory and self-seeking, only to be kept in order by harsh laws and fiercely deterrent mandatory sentences? Or are men and women naturally orderly, merciful, humane and bred with a need for justice and mutual aid? Of course these qualities, or defects, are not evenly distributed, and undoubtedly there is much of each in all of us, but when it comes to the law some sort of distinction can be drawn. Are you a Shylock or a Bassanio? Shylock pinned his faith on the words in the contract, the nature of his bond and the duty of the state to uphold the letter of the law regardless of human suffering. Bassanio put another point of view. More important than the sanctity of the law was the plight of the individual parties in the particular case."