On the Theory of the Infinite in Modern Thought Two Introductory Studies
On the Theory of the Infinite in Modern Thought Two Introductory Studies
Eleanor F Eleanor Frances Jourdain
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The mathematician analyses still more closely the relation between the Finite and the Infinite, as follows : He starts from the aggregate, which he analyses into the Finite and the Infinite, and the latter he analyses into the Transfinite and the Absolute. Of these two elements, one only has till just lately been the subject of mathematical treatment the one called the Transfinite. It is the transfinite subdivision of the Infinite to which the idea of number is applicable, and which is, therefo...re, in a sense inseparable from the Finite. Infinite numbers or series ought then to be more correctly de- scribed as Transfinite. But the processes of mathematics do not end here ; they reach up to the idea of the Absolute Infinite, the conception of which has been attained in recent years by mathematical work. The FINITE AND THE INFINITE 21 results of this work may now be briefly sum- marised. I. The Absolute appears to have the same relation to the Transfinite as the Transfinite to the Finite.
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