VOL. XIII., No. 2. JANUARY, 1983. APOLLONIUS OF TYANA. Sketch of his Life and Career, After the Original Sources. SKETCH OF THE Origin and Development of Geometry PRIOR TO 1850. (Continued). RELIGION IN FRANCE. LUCIEN ARRÉAT, Paris, France 235 THE PHILOSOPHICAL Foundations of MatHEMATICS. I. Historical Introduction. 273 PRIMITIVE THEories of KnowLEDGE: A Study in Linguistic Psychology. 295 LONDON: KEGAN PAUL, TRENCH, TRÜBNER & Company, Limited. Copyrighted, 1902, by the Open Court Publishing Co. Entered at the Chicago Post Office as Second-Class Matter. The Science of Mechanics A Critical and Historical Account of Its Development THE SCIENCE OF MECHANICS. A Critical and Historical Account of Its Development. By Dr. Ernst Mach, Professor of the History and Theory of Inductive Science in the University of Vienna. Translated by Thomas J. McCormack. Second Enlarged Edition. 259 Cuts. Pages, xx, 605. Cloth, Gilt Top, Marginal Analyses. Exhaustive Index. Price, $2.00 net (9s. 6d. net). Comments on the First Edition. "Mach's Mechanics is unique. It is not a text-book, but forms a useful supplement to the ordinary text-book. The latter is usually a skeleton outline, full of mathematical symbols and other abstractions. Mach's book has 'muscle and clothing,' and being written from the historical standpoint, introduces the leading contributors in succession, tells what they did and how they did it, and often what manner of men they were. Thus it is that the pages glow, as it were, with a certain humanism, quite delightful in a scientific book. . . . The book is handsomely printed, and deserves a warm reception from all interested in the progress of science."—The Physical Review, New York and London. "Those who are curious to learn how the principles of mechanics have been evolved, from what source they take their origin, and how far they can be deemed of positive and permanent value, will find Dr. Mach's able treatise entrancingly interesting. . . . The book is a remarkable one in many respects, while the mixture of history with the latest scientific principles and absolute mathematical deductions makes it exceedingly attractive."—Mechanical World, Manchester and London, England. "The book as a whole is unique, and is a valuable addition to any library of science or philosophy. . . . Reproductions of quaint old portraits and vignettes give piquancy to the pages. The numerous marginal titles form a complete epitome of the work; and there is that invaluable adjunct, a good index. Altogether the publishers are to be congratulated upon producing a technical work that is thoroughly attractive in its make-up."-Prof. D. W. Hering, in Science. "A masterly book. . . . To any one who feels that he does not know as much as he ought to about physics, we can commend it most heartily as a scholarly and able treatise... both interesting and profitable."—A. M. Wellington, in Engineering News, New York. "Sets forth the elements of its subject with a lucidity, clearness, and force unknown in the mathematical text-books . . . is admirably fitted to serve students as an introduction on historical lines to the principles of mechanical science."-Canadian Mining and Mechanical Review, Ottawa, Can. "There can be but one opinion as to the value of Mach's work in this translation. No instructor in physics should be without a copy of it."—Henry Crew, Professor of Physics in the Northwestern University, Evanston, Ill. CHICAGO, THE OPEN COURT PUBLISHING CO., 324 Dearborn St. LONDON: Kegan Paul, Trench, Trübner & Co., Ltd. APOLLONIUS OF TYANA. Sketch of His Life and Career, After the Original Sources. T. WHITTAKER, London, England SKETCH OF THE ORIGIN AND DEVELOPMENT OF GEOMETRY PRIOR TO 1850. (Continued.) PAGE 161 DR. G. LORIA, University of Genoa RELIGION IN FRANCE. LUCIEN ARRÉAT, Paris, France THE PHILOSOPHICAL FOUNDATIONS OF MATHEMATICS. I. Historical Introduction. 218 235 273 Primitive Theories of Knowledge: A Study in Linguistic Psychology. HILBERT'S FOUNDATIONS OF GEOMETRY. OSWALD VEBLEN, Chicago, Illinois BOOK REVIEWS Babel and Bible. F. Delitzsch, p. 310.-Die babylonische Kultur. H. Winckler, p. 311-Die Gesetze Hammurabis. H. Winckler, p. 311.-The Creation Story of Genesis I. H Radau, p. 312.-Hymns of the Faith (Dhammapada) A. J. Edmunds, p. 312.-Sur les príncipes fondamentaux de la théorie des nombres et de la géométrie. H. Laurent, p. 313.-Essays on the Theory of Numbers. R. Dedekind, p. 314.-Elemente der Stereometrie. G. Holzmüller, p. 315.-Höhere Analysis F. Junker, p. 315--Projective Geometrie. K. Dochlemann, p. 315.-Darstellende Geometrie. R. Haussner, p. 315.-Repetitorium und Aufgabensammlung zur Integralrechnung. Fr. Junker, p. 315.-Repetitorium und Aufgabensammlung zur Differentialrechnung. Fr. Junker, p. 315-Science of Mechanics. E. Mach, p. 317.Vorträge über Descendenztheorie. A. Weismann, p. 318-Grundriss einer Geschichte der Naturwissenschaften. F Dannemann, p. 319-Dictionary of Philosophy and Psychology. Vol. II. J. M. Baldwin, p. 319.-Grundzüge der physiologischen Psychologie. W. Wundt, p. 320.—Outlines of Psychology. W. Wundt, p. 320. 303 310 CHICAGO: THE OPEN COURT PUBLISHING COMPANY. THE MONIST APOLLONIUS OF TYANA. REFORMER of Greek religion from within, whose activity A may have coincided with the first emergence of the Christian Artistic restoration of the contorniate reproduced on page 162. (Specially made for The Monist.') propaganda from Judæa, is undoubtedly an interesting historical figure. And both in ancient and in modern times Apollonius of 1 The hand which appears in the original has been omitted because of its inartistic effect. |