The Principles of Mathematics (1903)

Chapter XXV. The Meaning of Order
Prev  Part IV. Order  Next

Chapter XXV. The Meaning of Order

Table of Contents

  1. § 195. What is order?
  2. § 196. Three theories of between
  3. § 197. First theory
  4. § 198. A relation is not between its terms
  5. § 199. Second theory of between
  6. § 200. There appear to be ultimate triangular relations
  7. § 201. Reasons for rejecting the second theory
  8. § 202. Third theory of between to be rejected
  9. § 203. Meaning of separation of couples
  10. § 204. Reduction to transitive asymmetrical relations
  11. § 205. This reduction is formal
  12. § 206. But is the reason why separation leads to order
  13. § 207. The second way of generating series is alone fundamental, and gives the meaning of order
Prev  Up  Next
§ 194  Home  § 195