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Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts point, straight line and plane, if one adds to these all the axioms of groups i-v as characteristics. If one is looking for other definitions of point, perhaps by means of paraphrase in terms of extensionless, etc., then, of course, I would most decidedly have to oppose such an enterprise. One is then looking for something that can never be found, for there is nothing there, and everything gets lost, becomes confused and vague, and degenerates into a game of hide and seek.
Wir müssen wissen. Wir werden wissen.
The infinite! No other question has ever moved so profoundly the spirit of man.
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
Physics is much too hard for physicists.
One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.
Mathematics knows no races or geographic boundaries; for mathematics,the cultural world is one country.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
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