more from Bertrand Russell

Single Idea 14125

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction]

Full Idea

Finite numbers obey the law of mathematical induction: infinite numbers do not.

Gist of Idea

Finite numbers, unlike infinite numbers, obey mathematical induction

Source

Bertrand Russell (The Principles of Mathematics [1903], §183)

Book Reference

Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.192