=1584.= All more definite knowledge must start with computation; and this is of most important consequences not only for the theory of memory, of imagination, of understanding, but as well for the doctrine of sensations, of desires, and affections. --HERBART, J. F. _Werke [Kehrbach], (Langensalza, 1890), Bd. 5, p. 103._ =1585.= In the near future mathematics will play an important part in medicine: already there are increasing indications that physiology, descriptive anatomy, pathology and therapeutics cannot escape mathematical legitimation.--DESSOIR, MAX. _Westermann’s Monatsberichte, Bd. 77, p. 380; Ahrens: Scherz und Ernst in der Mathematik (Leipzig, 1904), p. 395._ =1586.= The social sciences mathematically developed are to be the controlling factors in civilization.--WHITE, W. F. _A Scrap-book of Elementary Mathematics (Chicago, 1908), p. 208._ =1587.= It is clear that this education [referring to education preparatory to the science of sociology] must rest on a basis of mathematical philosophy, even apart from the necessity of mathematics to the study of inorganic philosophy. It is only in the region of mathematics that sociologists, or anybody else, can obtain a true sense of scientific evidence, and form the habit of rational and decisive argumentation; can, in short, learn to fulfill the logical conditions of all positive speculation, by studying universal positivism at its source. This training, obtained and employed with the more care on account of the eminent difficulty of social science, is what sociologists have to seek in mathematics.--COMTE, A. _Positive Philosophy [Martineau], Bk. 6, chap. 4._