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Rh philosophy which abuts on it—is most marked are Karl Weierstrass, Richard Dedekind, and Georg Cantor. A great part of Dedekind's work has developed along a direction parallel to the work of Cantor, and it is instructive to compare with Cantor's work Dedekind's Stetigkeit und irrationale Zahlen and Was sind und was sollen die Zahlen?, of which excellent English translations have been issued by the publishers of the present book.

There is a French translation of of these memoirs of Cantor's, but there is no English translation of them. For kind permission to make the translation, I am indebted to Messrs B. G. Teubner of Leipzig and Berlin, the publishers of the Mathematische Annalen. PHILIP E. B. JOURDAIN.