Single Idea 14124

[catalogued under 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

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