Incorrect Theorem. Let H be a finite set of n horses. Suppose that, for every subset...

Incorrect Theorem. Let H be a finite set of n horses. Suppose that, for every subset S ⊂ H with |S| < n, the horses in S are all the same color. Then every horse in H is the same color.

i) Prove the theorem assuming n ≥ 3.

ii) Why aren’t all horses the same color? That is, why doesn’t your proof work for n = 2?

Expert Solution

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Colby Messinger answered 2 years ago

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