Abstract
Bulletin of the American Mathematical Society, vol. ii. No. 2, November 1895.—Concerning Jordan's linear groups, is a paper by Prof. E. H. Moore, which was read before the Society in August last. It is a continuation of a paper read in November 1894, entitled “The group of holoedric transformation into itself of a given group” and is an exhaustive one supplemented by numerous, bibliographical details.—Prof. A. S. Hathaway presented, ati the same meeting in August, an elementary proof of the quaternion associative principle. Hamilton in his “Elements” writes: “The associative principle of multiplication may also be proved without the distributive principle, by certain considerations of rotations of a system, on which we cannot enter here.” This note states that it is easy to see that such a proof is possible; but the details of it could not have presented themselves to Hamilton in an elementary form, or he would have seen that it was just the demonstration for which he was looking, simple in character, and direct in its application. We are not sure that we have not seen a proof somewhat similar to the Professor's, but we cannot recall it to our recollection. The proof given is a simple one.—The next article is a paper read at the October meeting of the Society, entitled “Moral Values,” by Mr. R. Henderson. The author reminds us that the question, of moral values in connection with the theory of probability has given rise to great diversity of opinion among mathematicians, and that Bertrand, in his classical work, dismisses it with contempt. More than the usual space is devoted to the notes and, new publications.
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Scientific Serials. Nature 53, 238–239 (1896). https://doi.org/10.1038/053238b0
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DOI: https://doi.org/10.1038/053238b0