Abstract
THE main features of this important work have been described in a previous notice (August 31, 1911, p. 273). In the present volume the authors come more directly into contact with what may be called traditional arithmetic and algebra, the three parts being devoted to cardinal arithmetic, relation-arithmetic, and series respectively. Our old familiar friend, the family of natural numbers, appears under the head of “inductive cardinals”; besides this, and preceding it, we have a discussion of various types of cardinals, definitions of addition, multiplication, and exponentiation valid for transfinite, as well as finite, numbers; thence we proceed to the study of intervals, progressions, the first transfinite cardinal, and the axiom of infinity.
Principia Mathematica.
By Dr. A. N. Whitehead Bertrand Russell. Volume ii. Pp. xxxiv + 772. (Cambridge: The University Press, 1912.) Price 30s. net.
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M., G. Principia Mathematica . Nature 89, 474 (1912). https://doi.org/10.1038/089474a0
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DOI: https://doi.org/10.1038/089474a0