“Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.”
James C. Maxwell
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James C. Maxwell
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The numbers may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.
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The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible?
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Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.
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Every existence above a certain rank has its singular points; the higher the rank the more of them. At these points, influences whose physical magnitude is too small to be taken account of by a finite being may produce results of the greatest importance.
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