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That sometime we shall need this principle of the mean for the demonstration of absolute precise truth. But our belief that the demonstration is for our present purpose good and sufficient is, in my opinion, magnificently supported by this argument—that we must believe that all the arts alike exist and that the greater and the less are measured in relation not only to one another but also to the establishment of the standard of the mean. For if this exists, they exist also, and if they exist, it exists also, but neither can ever exist if the other does not.

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