Single Idea 14133

[catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite]

Full Idea

The theory of infinity has two forms, cardinal and ordinal, of which the former springs from the logical theory of numbers; the theory of continuity is purely ordinal.

Gist of Idea

There are cardinal and ordinal theories of infinity (while continuity is entirely ordinal)

Source

Bertrand Russell (The Principles of Mathematics [1903], §249)

Book Reference

Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.259