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“Mathematics never reveals man to the degree, never expresses him in the way, that any other field of human endeavour does: the extent of the negation of man's corporeal self that mathematics achieves cannot be compared with anything. Whoever is interested in this subject I refer to my articles. Here I will say only that the world injected its patterns into human language at the very inception of that language; mathematics sleeps in every utterance, and can only be discovered, never invented.”

“In my own professional work I have touched on a variety of different fields. I've done work in mathematical linguistics, for example, without any professional credentials in mathematics; in this subject I am completely self-taught, and not very well taught.”

“The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing in this field one must first gain a clear understnding of the concept "science"; for it is as a part of science that mathematics originally took its place in human thought.”

“I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn about and gather together. Then there is a sort of inevitable development in those fields. You get to the point where a certain theorem is bound to be proved, independent of any particular individual, because it is just in the path of development.”

“In order to write about the machine you have to know it, to live with it, to love it (or hate it). I think that true writing could be done on industrial subjects by people who work in industry, who are firmly linked with it. But ... and here is the opposite 'but', the technology of literary craftsmanship is itself a very fine and complex matter. Qualified specialists from industry prove themselves dilettantes in the field of literature. The needed synthesis is not yet in sight.”

“Education is character development, harmonious completion of human personality. But what the state accomplishes in this field is dull drill, extinction of natural feeling, narrowing of the spiritual field of vision, destruction of all the deeper elements of character in man. The state can train subjects...but it can never develop free men who take their affairs into their own hands; for independent thought is the greatest danger that it has to fear.”