No philosophy that neglects to comprehend and apply the now supremely important methods and results of mathematics can be anything but an ineffectual attempt. No doubt this will seem to most of those who affect philosophy a statement worthy only of scorn. Prof. Crystal, at the close of his article on "Parallels," in the ninth edition of the Encyclopedia Britannica "calls the attention of those who busy themselves with mental philosophy" to that geometrical subject and its affiliations "as one of the results of modern mathematical research which they cannot afford to overlook." We can imagine with what an air of conscious eminence one or more of our dilettanti philosophers may have perused this suggestion, wondering what in the world parallels and measurement have to do with philosophy.

But, nevertheless, so it is that a new departure in philosophy has been made inevitable by the stupendous researches of modern mathematics and this the philosophical world is just beginning to find out. It seems to us, that the incomplete view taken by Dr. Abbott will prevent that success for his theory which his most distinguished ability might otherwise achieve, and which his devoted efforts well merit.

F. C. R.

RACES AND PEOPLES: LECTURES ON THE SCIENCE OF ETHNOGRAPHY. By Daniel
G. Brinton
, A.M., M.D., etc., etc. New York: N. D. C. Hodges.

These lectures, which are dedicated to Mr. Horatio Hale, the veteran philologist and ethnographer to the United States exploring expedition in 1832-42, go over a very wide ground. The ground traversed is, indeed, so extensive that Dr. Brinton feels bound to apologise for being often superficial, as otherwise he could not have compressed into so small a space the subjects of which he treats. This apology must necessarily to some extent disarm the critic, although it should do so only where a conclusion is not supported by sufficient evidence. Where a statement made is not merely unsupported by, but is contrary to, the best evidence available, the author must expect to be called to account. We were prepared to act on this principle, thinking that possibly confession like charity would be found to cover a multitude of sins, but we must admit that with certain exceptions, the chief of which are to be found in the lecture on "the psychical elements of Ethnography," we were mistaken.

We do not propose to follow the author in his classification of the varieties of mankind, or in his views of the origin of the various races into which they are divided, both of which will meet with keen opposition from most of the anthropologists of Western Europe, although those of Germany may receive them with more favor. We are concerned chiefly with the opening and the closing chapters of the work before us, from which we may draw some conclusions bearing on the race question, that disturbs the minds of so many people in this country. Dr. Brinton remarks that the physical traits of man are correlated to the physiological functions in such a manner as profoundly to influence the destiny of nations. He adds that from the physical point of view, the pure white is weaker than the dark races, worse prepared for the combat of life, with inferior viability; but in the white this is more than compensated by the development of the nervous system and intellectual power. The white "can bear greater mental strain than any other race, and the activity of his mind supplies him with means to overcome the inferiority of his body, and thus places him at the head of the whole species." It might be supposed that a mixture of races having these different qualities, would result in the formation of a hybrid race, superior to either of the parent stocks.

Dr. Brinton, who is strongly opposed to the practice of miscegenation, endorses the opinion that the offspring of a cross between the white and the black races are deficient in physical vigor, and that such hybrids gradually die out. He admits, however, that it was not so within the African area in early times, and he suggests that special causes are now at work to affect the results of race-mixture. One of these is the fact that the white blood is derived exclusively from the father, and the dark blood exclusively from the mother. Now, if it be true, as is supposed, that physical qualities are derived chiefly from the father and the psychical qualities chiefly from the mother, we may reasonably expect, as is indeed recognised, that the children of such unions will be physically superior to members of the black stock, although inferior to those of the white race. It is admitted, moreover, that mulattoes are, as a rule, intellectually superior to pure negroes; so that miscegenation is undoubtedly of relative advantage to the immediate offspring, whatever may be its result on their descendants. What Dr. Brinton and other writers of the same opinion object to, however, is the deterioration of the white stock. If there was any reason to believe this possible, the objection would have weight. But it supposes miscegenation to become general, which, in the first place, is an event which could never happen, unless the women of this country descended to the level of a Messalina. And in the second place, Dr. Brinton admits that "in the earlier conditions of social life, no such debility attended the crossing of the Eurafrican [white race] and African race as seems at present to be the case." It is possible, therefore, that if the mixture of the two races became general, and were regarded as perfectly legitimate, the present physical and intellectual debility attending such unions might disappear. We do not advocate miscegenation, but we wish to point out, that those who oppose it under the present limitations of our knowledge, do so either on insufficient grounds, or because they are influenced, consciously or unconsciously, by sentimental considerations.

We are glad to see that Dr. Brinton does not endorse the views so prevalent among English Ethnologists as to the existence of "communal marriage" among the lower races of mankind. In his recent work on "The Origin and Development of Marriage and Kinship," Mr. C. Staniland Wake has dealt exhaustively with that subject, and shown that the "marriage law" is fully recognised among the most savage peoples. We cannot accept Dr. Brinton's statements where he says that the Australian aborigines are led to associate "by much the same motives as prompt buffaloes to gather in a herd," or when he speaks of the "rare" custom of polyandry, or declares that mutual affection has no existence among the Australians and many other tribes, and that romantic love is practically absent among the African and Mongolian races. Our author is equally at fault when he says that no Asiatic nation respects truth telling, and that "the idea of independent personal ownership does not exist among them." These errors, and such misstatements as that "the excellent results of the extension of the Slavonian supremacy in Central Asia have been studiously ignored by British writers," which are due to Dr. Brinton's preference for Continental authorities, are serious blemishes. Nevertheless, his book is an excellent one, and we can heartily recommend it as an introductory Manual of Ethnology.

Ω.

STUDIES IN HEGEL'S PHILOSOPHY OF RELIGION. With a Chapter On Christian
Unity in America. By J. Macbride Sterrett, D. D., Professor of
Ethics and Apologetics in Seabury Divinity School. New York: D.
Appleton & Co.