Project Gutenberg #41654
Introduction to Mathematical Philosophy
Bertrand Russell
1919Russell's bridge between mathematics and philosophy, seeded from Project Gutenberg HTML in ordered sections.
Project Gutenberg #41654 Public domain in the United States Cover source Local typographic cover created for MojiMori from public-domain source metadata
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Chapter 8 — CHAPTER VIII INFINITE CARDINAL NUMBERS Central question What is a number when the collection is infinite? Main argument Russell explains that infinite classes can still have cardinality, but only if we...
the following definitions:—
A finite class or cardinal is one which is inductive.
An infinite class or cardinal is one which is not inductive. All reflexive classes and cardinals are infinite; but it is not known at present whether all infinite classes and cardinals are reflexive. We shall return to this subject in Chapter XII. [Pg 88]