Abstract
(1) THIS little book gives a method of basing the theory of arithmetic on the properties of finite aggregates and on Dedekind's section. Prof. Hölder holds the view that an arithmetic founded solely on postulates and axioms must be insufficient, since even in this case series of operations must be counted.
(1) Die Arithmetik in strenger Begründung.
Von Prof. Otto Hölder. Zweite Auflage. Pp. v + 73. (Berlin: Julius Springer, 1929.) 3.60 gold marks.
(2) Theory and Application of Infinite Series.
By Prof. Dr. Konrad Knopp. Translated from the second German edition by Miss R. C. Young. Pp. xii + 571. (London and Glasgow: Blackie and Son, Ltd., 1928.) 30s. net.
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M.-T, L. (1) Die Arithmetik in strenger Begründung (2) Theory and Application of Infinite Series. Nature 124, 943 (1929). https://doi.org/10.1038/124943a0
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DOI: https://doi.org/10.1038/124943a0