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The Theory of Sets of Points. By W H. Young M.A., Sc.D., and Grace Chisholm Young, Phil. Doc. (Gött.). (Cambridge: at the University Press. 1906. Pp. xii + 316.)
Published online by Cambridge University Press: 03 November 2016
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page no 374 note * There is (pp. 1-5) a short account of the system of real numbers as defined by (Cantor’s) ‘sequences’. I hope to give, in the near future, a brief discussion of what one can mean by the phrase ‘definition of a number by a sequence’ in this Gazette ( cf.Russell, , The Principles of Mathematics, vol. i., 1903, pp. 270–286 Google Scholar).
page no 374 note † Cf. Russell, op. cit., pp. 353, 384 sqq.
page no 374 note ‡ Ann. di mat., t. XVI. (1888-9), pp. 49-60.
page no 374 note § An analogous definition is on p. 170.
page no 375 note * Cf. pp. 145-147 especially the suggestive ll 16-25 on p. 146.
page no 375 note † Op. cit., pp. 111-116.
page no 375 note ‡ Algebra und Logik der Relative, Leipzig, 1895, pp. 42-68.
page no 375 note § Mess. of Math., May, 1906, pp. 13-16.