Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical purpose, and, I daresay, an aesthetic purpose.
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- Analyse data just so far as to obtain simplicity and no further.
- The scientist does not study nature because it is useful to do so. He studies it because he takes pleasure in it, and he takes pleasure in it because it is beautiful. If nature were not beautiful it β¦ βΆ
- So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a convenient language; but isn't that a mediocre service, which after all we could have done w β¦ βΆ
- If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
- Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
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