back to ideas for this text


Single Idea 14124

[from 'The Principles of Mathematics' by Bertrand Russell, in 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers ]

Full Idea

The Axiom of Archimedes asserts that, given any two magnitudes of a kind, some finite multiple of the lesser exceeds the greater.

Gist of Idea

Axiom of Archimedes: a finite multiple of a lesser magnitude can always exceed a greater

Source

Bertrand Russell (The Principles of Mathematics [1903], §168 n*)

Book Reference

Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.181