We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road we want to understand the idea of the proof, the deeper context.
More Quotes from Hermann Weyl:
You can not apply mathematics as long as words still becloud reality.Hermann Weyl
My work always tried to unite the true with the beautiful, but when I had to choose one or the other, I usually chose the beautiful.
Hermann Weyl
Our federal income tax law defines the tax y to be paid in terms of the income x it does so in a clumsy enough way by pasting several linear functions together, each valid in another interval or bracket of income. An archeologist who, five thousand years from now, shall unearth some of our income tax returns together with relics of engineering works and mathematical books, will probably date them a couple of centuries earlier, certainly before Galileo and Vieta.
Hermann Weyl
A modern mathematical proof is not very different from a modern machine, or a modern test setup the simple fundamental principles are hidden and almost invisible under a mass of technical details.
Hermann Weyl
Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.
Hermann Weyl
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