Wednesday
- Study: 3.2, 1.2
- Do: pp 22 - 24: 5, 14, 24, 34, plus the following problem:
Blue Eyes and Logic
On an island live seventeen natives all of whom have blue eyes, and who
worship the sun as god. They are capable of perfect logic, and live
by the two rules:
- No native reveals the color of a person's eyes to that person.
- If a native learns that their eyes are blue, they must jump off
a cliff at 11:59:59 pm of the day they discover this fact.
A missionary comes to the island with the intent to convert the
natives to the ``true faith'', but after months of effort fails to
persuade even a single native. Discouraged, the missionary leaves,
but just as he departs he tells the natives (all of whom have gathered
to see him off) that ``at least one of you has blue eyes''.
- Describe what happens over the course of the next year.
- The far more interesting question is what (if anything) did the
missionary tell the natives that they didn't already know?
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