The Principles of Mathematics (1903)

Chapter XLIII. The Philosophy of the Infinite
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Chapter XLIII. The Philosophy of the Infinite

Table of Contents

  1. § 337. Historical retrospect
  2. § 338. Positive doctrine of the infinite
  3. § 339. Proof that there are infinite classes
  4. § 340. The paradox of Tristram Shandy
  5. § 341. A whole and a part may be similar
  6. § 342. Whole and part and formal implication
  7. § 343. No immediate predecessor of ω or a0
  8. § 344. Difficulty as regards the number of all terms, objects, or propositions
  9. § 345. Cantor's first proof that there is no greatest number
  10. § 346. His second proof
  11. § 347. Every class has more sub-classes than terms
  12. § 348. But this is impossible in certain cases
  13. § 349. Resulting contradictions
  14. § 350. Summary of Part V
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