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ar, which was itself a gigantic industrial process, another factor manifested itself and proved to be of the utmost importance: namely, the human factor, which is not material but is mental, moral, psychological. It has been found that maximum production may be attained when and only when the production is carried on in conformity with certain psychological laws, roughly determined by the analysis of human nature. Except for productive human labor, our globe is too small to support the human population now upon it. Humanity must produce or perish. Production is essentially a task for engineers; it essentially depends upon the discovery and the application of natural laws, including the laws of human nature. It is, therefore, not a task for old fashioned philosophical speculation nor for barren metaphysical reasoning _in vacuo_; it is a scientific task and involves the coordination and cooperation of all the sciences. This is why it is an engineering task. For engineering, rightly understood, is the coordinated sum-total of human knowledge gathered through the ages, with mathematics as its chief instrument and guide. Human Engineering will embody the theory and practice--the science and art--of all engineering branches united by a common aim--the understanding and welfare of mankind. Here I want to make it very clear that mathematics is not what many people think it is; it is not a system of mere formulas and theorems; but as beautifully defined by Professor Cassius J. Keyser, in his book _The Human Worth of Rigorous Thinking_ (Columbia University Press, 1916), mathematics is the science of "Exact thought or rigorous thinking," and one of its distinctive characteristics is "precision, sharpness, completeness of definitions." This quality alone is sufficient to explain why people generally do not like mathematics and why even some scientists bluntly refuse to have anything to do with problems wherein mathematical reasoning is involved. In the meantime, mathematical philosophy has very little, if anything, to do with mere calculations or with numbers as such or with formulas; it is a philosophy wherein precise, sharp and rigorous thinking is essential. Those who deliberately refuse to think "rigorously"--that is mathematically--in connections where such thinking is possible, commit the sin of preferring the worse to the better; they deliberately violate the supreme law of intellectual rectitude. Here I have to mak
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