The Principles of Mathematics (1903)

Chapter XXXIV. Limits and Irrational Numbers
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Chapter XXXIV. Limits and Irrational Numbers

Table of Contents

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