The Principles of Mathematics (1903)

Chapter XLII. The Philosophy of the Continuum

Table of Contents

  1. § 325. Philosophical sense of continuity not here in question
  2. § 326. The continuum is composed of mutually external units
  3. § 327. Zeno and Weierstrass
  4. § 328. The argument of dichotomy
  5. § 329. The objectionable and the innocent kind of endless regress
  6. § 330. Extensional and intensional definition of a whole
  7. § 331. Achilles and the tortoise
  8. § 332. The arrow
  9. § 333. Change does not involve a state of change
  10. § 334. The argument of the measure
  11. § 335. Summary of Cantor's doctrine of continuity
  12. § 336. The continuum consists of elements