- § 262. Definition of a limit
- § 263. Elementary properties of limits
- § 264. An arithmetical theory of irrationals is indispensable
- § 265. Dedekind's theory of irrationals
- § 266. Defects in Dedekind's axiom of continuity
- § 267. Objections to his theory of irrationals
- § 268. Weierstrass's theory
- § 269. Cantor's theory
- § 270. Real numbers are segments of rationals

The Principles of Mathematics was written by Bertrand Russell, and published in in 1903. It is now available in the Public Domain.