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Counterexamples — where intuition breaks

A reading series · various

The fastest way to truly understand a theorem is to meet the object that almost satisfies it. A running series on the great counterexamples — one strange object at a time, and the plausible-but-false claim it kills. The shelves have dozens.

0 of 4 chapters written · a chapter a day.

  1. 1Analysis — Gelbaum & Olmstedcontinuous-nowhere-differentiable, and friendsplanned
  2. 2Topology — Steen & Seebachthe zoo of strange spacesplanned
  3. 3Probability — Stoyanovwhen the obvious is falseplanned
  4. 4Measure & integration — Schilling & Kühnthe measure-theoretic trapsplanned