“Physics is essentially an intuitive and concrete science. Mathematics is only a means for expressing the laws that govern phenomena.”

“One reason why mathematics enjoys special esteem,above all other sciences,is that its laws are absolutely certain and indisputable,while those of all other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts.”

“How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?”

“But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.”

“What is this frog and mouse battle among the mathematicians?”

“Pure mathematics is, in its way, the poetry of logical ideas. ... [By seeking] logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.”

“This has been done elegantly by Minkowski; but chalk is cheaper than grey matter, and we will do it as it comes.”

“The human mind has first to construct forms, independently, before we can find them in things.”

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