The work of the Open Court Publishing Co : an illustrated catalogue of its publications covering a period of twenty-one years (1887-1907) consisting of a complete book list with brief characterizatiion of authors and contents, including also a selection of noteworthy articles from the Monist and the Open court . to give a scien-tific explanation of the rationale of these branches of mathematics. Like allthat De Morgan wrote, it is accurate, clear and philosophic. —Literary JJ\)rhl, Loudon. On the Study and Difficulties of Mathematics. By Augustus De Morgan. With portrait of De Morgan, In-dex,


The work of the Open Court Publishing Co : an illustrated catalogue of its publications covering a period of twenty-one years (1887-1907) consisting of a complete book list with brief characterizatiion of authors and contents, including also a selection of noteworthy articles from the Monist and the Open court . to give a scien-tific explanation of the rationale of these branches of mathematics. Like allthat De Morgan wrote, it is accurate, clear and philosophic. —Literary JJ\)rhl, Loudon. On the Study and Difficulties of Mathematics. By Augustus De Morgan. With portrait of De Morgan, In-dex, and Bibliographies of Modern Works on Algebra, thePhilosophy of Mathematics, Pangeometry, etc. Pages, viii,288. Cloth, $ net. (5s. net.) The point of view is unusual; we are confronted by a genius, who, like hiskind, shows little heed for customary conventions. The shaking up whichthis little work will give to the j^oung teacher, the stimulus and implied criti-cism it can furnish to the more experienced, make its possession most de-sirable.—Micliigan Alumnus. ARTICLES ABOUT DE MORGAN. Augustus De Morgan; a Biographical Sketch. By Thomas Open Court. Vol. XII, No. 5if, p. 760. De Morgan to Sylvester. By George Bruce Halsted. Monist,Vol X, p. 188. THE OPEN COURT PUBLISHING CO., AUGUSTUS DE of On the Study and DifHcultics of Mathematics. THE OPEN COURT PUBLISHING CHICAGO. RENE DESCARTES. DESCARTES, liliiisdf a crcati^c iiialhciiialiciaii, nudcrtook hisreform of philosophy from the eoiizietioii that rational science ismathematics, lie claimed that the first task of philosophy is an-alytic, the second synthetic; iJiat analysis should lead to a sin(:^lcprinciple from ichich all further truths inii^ht be deduced. Thisfhou}:;hf receives its classical ! in the Meditations in leliichthe author carries on a dramatic dialoi^ue with himself. It is inthis exposition that he gizes uttera>ice to famous dictum, cogito,ers^o sum


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