The Principles of Mathematics (1903)

Chapter XLI. Philosophical Arguments Concerning the Infinitesimal
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Chapter XLI. Philosophical Arguments Concerning the Infinitesimal

Table of Contents

  1. § 315. Current philosophical opinions illustrated by Cohen
  2. § 316. Who bases the calculus upon infinitesimals
  3. § 317. Space and motion are here irrelevant
  4. § 318. Cohen regards the doctrine of limits as insufficient for the calculus
  5. § 319. And supposes limits to be essentially quantitative
  6. § 320. To involve infinitesimal differences
  7. § 321. And to introduce a new meaning of equality
  8. § 322. He identifies the inextensive with the intensive
  9. § 323. Consecutive numbers are supposed to be required for continuous change
  10. § 324. Cohen's views are to be rejected
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