The Principles of Mathematics (1903)

Chapter XXXVI. Ordinal Continuity

Table of Contents

  1. § 276. Continuity is a purely ordinal notion
  2. § 277. Cantor's ordinal definition of continuity
  3. § 278. Only ordinal notions occur in this definition
  4. § 279. Infinite classes of integers can be arranged in a continuous series
  5. § 280. Segments of general compact series
  6. § 281. Segments defined by fundamental series
  7. § 282. Two compact series may be combined to form a series which is not compact