(born at Montpellier in 1798, died at Paris in 1857), whose chief work, the Course of Positive Philosophy, 6 vols., appeared in 1830-42. [English version, "freely translated and condensed," by Harriet Martineau, 1853.]

The positive philosophy seeks to put an end to the hoary error that anything more is open to our knowledge than given facts-phenomena and their relations. We do not know the essence of phenomena, and just as little their first causes and ultimate ends; we know-by means of observation, experiment, and comparison-only the constant relations between phenomena, the relations of succession and of similarity among facts, the uniformities of which we call their laws. All knowledge is, therefore, relative; there is no absolute knowledge, for the inmost essence of facts, and likewise their origin, the way in which they are produced, is for us impenetrable. We know only, and this by experience, that the phenomenon A is invariably connected with the phenomenon B, that the second always follows on the first, and call the constant antecedent of a phenomenon its cause. We know such causes only as are themselves phenomena. The fact that our knowledge is limited to the succession and coexistence of phenomena is not to be lamented as a defect: the only knowledge which is attainable by us is at the same time the only useful knowledge, that which lends us practical power over phenomena. When we inquire into causes we desire to hasten or hinder the effect, or to change it as we wish, or at least to anticipate it in order to make our preparations accordingly. Such foresight and control of events can be attained only through a knowledge of their laws, their order of succession, their phenomenal causes. Savoir pour prévoir. But, although the prevision of facts is the only knowledge which we need, men have always sought after another, an "absolute" knowledge, or have even believed that they were in possession of it; the forerunners of the positive philosophy themselves, Bacon and Descartes, have been Zellerjubiläum, 1887; Maxim. Brütt, Der Positivismus, Programme of the Realgymnasium des Johanneums, Hamburg, 1889; [also, besides Mill, p. 560, John Morley, Encyclopædia Britannica, vol. vi. pp. 229-238, and E. Caird, The Social Philosophy and Religion of Comte, 1885.—Tr.].

entangled in this prejudice. A long intellectual development was required to reach the truth, that our knowledge does not extend beyond the cognition of the succession and coexistence of facts; that the same procedure must be extended to abstract speculation which the common mind itself makes use of in its single actions. On the other hand, the positive philosophy, notwithstanding its rejection of metaphysics, is far from giving its sanction to empiricism. Every isolated, empirical observation is useless and uncertain; it obtains value and usefulness only when it is defined and explained by a theory, and combined with other observations into a law-this makes the difference between the observations of the scholar and the layman.

The positive stage of a science, which begins when we learn to explain phenomena by their laws, is preceded by two others: a theological stage, which ascribes phenomena to supposed personal powers, and a metaphysical stage, which ascribes them to abstract natural forces. These three periods denote the childhood, the youth, and the manhood of science.

The earliest view of the world is the theological view, which derives the events of the world from the voluntary acts of supernatural intelligent beings. The crude view of nature sees in each individual thing a being animated like man; later man accustoms himself to think of a whole class of objects as governed by one invisible being, by a divinity; finally the multitude of divinities gives place to a single God, who creates, maintains, and rules the universe, and by extraordinary acts, by miracles, interferes in the course of events. Thus fetichism (in its highest form, astrolatry), polytheism, and monotheism are the stages in the development of the theological mode of thought. In the second, the metaphysical, period, the acts of divine volition are. replaced by entities, by abstract concepts, which are regarded as realities, as the true reality back of phenomena. A force, a power, an occult property or essence is made to dwell in things; the mysterious being which directs events is no longer called God, but "Nature," and invested with certain inclinations, with a horror of a vacuum, an aversion

to breaks, a tendency toward the best, a vis medicatrix, etc. Here belong, also, the vegetative soul of Aristotle, the vital force and the plastic impulse of modern investigators. Finally the positive stage is reached, when all such abstractions, which are even yet conceived as half personal and acting voluntarily, are abandoned, and the unalterable and universally valid laws of phenomena established by observation and experiment alone. But to explain the laws of nature themselves transcends, according to Comte, the fixed limits of human knowledge. The beginning of the world lies outside the region of the knowable, atheism is no better grounded than the theistic hypothesis, and if Comte asserts that a blindly acting mechanism is less probable than a world-plan, he is conscious that he is expressing a mere conjecture which can never be raised to the rank of a scientific theory. The origin and the end of things are insoluble problems, in answering which no progress has yet been made in spite of man's long thought about them. Only that which lies intermediate between the two inscrutable termini of the world is an object of knowledge.

It is not only the human mind in general that exhibits this advance from the theological, through the metaphysical, to the positive mode of thought, but each separate science goes through the same three periods-only that the various disciplines have developed with unequal rapidity. While some have already culminated in the positive method of treatment, others yet remain caught in the theological period of beginnings, and others still are in the metaphysical transition stage. Up to the present all three phases of development exist side by side, and even among the objects of the most highly developed sciences there are some which we continue to regard theologically; these are the ones which we do not yet understand how to calculate, as the changes of the weather or the spread of epidemics. Which science first attained the positive state, and in what order have the others followed? With this criterion Comte constructs his classification of the sciences, in which, however, he takes account only of those sciences which he calls abstract, that is, those which treat of "events" in distinction from "objects.' The abstract sciences (as biology)

investigate the most general laws of nature, valid for all phenomena, from which the particular phenomena which experience presents to us cannot be deduced, but on the basis of which an entirely different world were also possible. The concrete sciences, on the other hand (e. g., botany and zoölogy), have to do with the actually given combinations of phenomena. The former follow out each separate one of the general laws through all its possible modes of operation, the latter consider only the combination of laws given in an object. Thus oaks and squirrels are the result of very many laws, inasmuch as organisms are dependent not only on biological, but also on physical, chemical, and mathematical laws.

Comte enumerates six of these abstract sciences, and arranges them in such a way that each depends on the truths of the preceding, and adds to these its own special truths, while the first (the most general and simplest) presupposes no earlier laws whatever, but is presupposed by all the later ones. According to this principle of increasing particularity and complexity the following scale results: (1) Mathematics, in which the science of number, as being absolutely without presuppositions, precedes geometry and mechanics; (2) Astronomy; (3) Physics (with five subordinate divisions, in which the first place belongs to the theory of weight, and the last to electrology, while the theory of heat, acoustics, and optics are intermediate); (4) Chemistry; (5) Biology or physiology; (6) Sociology or the science of society. This sequence, which is determined by the increasing complexity and increasing dependence of the objects of the sciences, is the order in which they have historically developed-before the special laws of the more complicated sciences can be ascertained, the general laws of the more simple ones must be accurately known. It is also advisable to follow this same order of increasing complexity and difficulty in the study of the sciences, for acquaintance with the methods of those which are elementary is the best preparation for the pursuit of the higher ones. In arithmetic and geometry we study positivity at its source; in the sociological spirit it finds its completion. Mathematics entered on its positive stage at quite an

early period, chemistry and biology only in recent times, while, in the highest and most complicated science, the metaphysical (negative, liberal, democratic, revolutionary) mode of thought is still battling with the feudalism of the theological mode. To make sociology positive is the mission of the second half of Comte's work, and to this goal his philosophical activity had been directed from the beginning. Comte rates the efforts of political economy very low, with the exception of the work of Adam Smith, and will not let them pass as a preparation for scientific sociology, holding that they are based on false abstractions. Psychology, which is absent from the above enumeration, is to form a branch of biology, and exclusively to use the objective method, especially phrenology (to the three faculties of the soul, "heart, character, and intellect," correspond three regions of the brain). Self-observation, so Comte, making an impossibility out of a difficulty, teaches, can at most inform us concerning our feelings and passions, and not at all concerning our own thinking, since reflection brings to a stop the process to which it attends, and thus destroys its object. The sole source of knowledge is external sense-perception. In his Positive Polity Comte subsequently added a seventh fundamental science, ethics or anthropology.

Sociology,* the elevation of which to the rank of a positive science is the principal aim of our philosopher, uses the same method as the natural sciences, namely, the interrogation and interpretation of experience by means of induction. and deduction, only that here the usual relation of these two instruments of knowledge is reversed. Between inorganic and organic philosophy, both of which proceed from the known to the unknown, there is this difference, that in the former the advance is from the elements, as that which alone is directly accessible, to the whole which is composed of them, while in the latter the opposite is the case, since here the whole is better known than the individual parts of which it consists. Hence, in inorganic science the laws of the composite phenomena are obtained by deduction (from

* Cf. Krohn: Beiträge zur Kenntniss und Würdigung der Soziologie, Jahrbücher für Nationalökonomie und Statistik, New Series, vols. i. and iii., 1880

and 1881.