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Mathematics

Sizes of Infinity

Counting without numbers, a list that cannot be finished, and the limit

Hilbert · Cantor · Weierstrass · 3 chapters · 11 min read

Counting without numbers, a list that cannot be finished, and the limit.

Free to read: every chapter below is open

The Infinite

  1. 01Counting Without NumbersOn sheep, pebbles, and a hotel with no vacancies and room for everyone.
  2. 02More Than InfiniteOn a list that cannot be completed, and the argument that keeps reappearing.
  3. 03Getting There Without ArrivingOn the ghosts of departed quantities, and the definition that laid them.