The number-system of algebra : treated theoretically and historically . mholtz in his Zahlen und Messen (Zeller-Jubelaum, 1887). G. Cantor discusses the general notion of cardinal number, and 132 NUMBER-SYSTEM OF ALGEBRA. extends it to infinite groups and assemblages in his now famousMemoirs on the theory of infinite assemblages. See particularlyMathematische Annalen, XLVI, p. 489. Very recently much attention has been given to the question:What is the simplest system of consistent and independent laws — oraxioms, as they are called — by which the fundamental operationsof the ordinary algebra
The number-system of algebra : treated theoretically and historically . mholtz in his Zahlen und Messen (Zeller-Jubelaum, 1887). G. Cantor discusses the general notion of cardinal number, and 132 NUMBER-SYSTEM OF ALGEBRA. extends it to infinite groups and assemblages in his now famousMemoirs on the theory of infinite assemblages. See particularlyMathematische Annalen, XLVI, p. 489. Very recently much attention has been given to the question:What is the simplest system of consistent and independent laws — oraxioms, as they are called — by which the fundamental operationsof the ordinary algebra may be defined ? A very complete resumeof the literature may be found in a paper by O. Holder in LeipzigerBerichte, 1901. See also E. V. Huntington in Transactions of theAmerican Mathematical Society, Vol. Ill, p. 264. Date Due ^ r as-^66 . r .. ih ? ?---« mc firj ^1539 Library Bureau Cat. no. 1137 3 5002 00080 7615 Fine, Henry Burchard. The number-system of algebra ; treated t scni AUTHOR gine> TITL-E 155 F5— 1907 Number-system of 214381
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