The Idea of a University

we are apt to think applies only to pure mathematics, though to pure mathematics it applies especially, viz., that they cannot be considered as simple representations or informants of things as they are. We are accustomed to say, and say truly, that the conclusions of pure mathematics are applied, corrected, and adapted, by mixed; but so too the conclusions of Anatomy, Chemistry, Dynamics, and other sciences, are revised and completed by each other. Those several conclusions do not represent whole and substantive things, but views, true, so far as they go; and in order to ascertain how far they do go, that is, how far they correspond to the object to which they belong, we must compare them with the views taken out of that object by other sciences. Did we proceed upon the abstract theory of forces, we should assign a much more ample range to a projectile than in fact the resistance of the air allows it to accomplish. Let, however, that resistance be

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