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Mathematics, 24.06.2019 11:30 geliyahmoore1

Al says he can prove that all sheep in a flock are the same color: base case: one sheep. it is clearly the same color as itself. induction step: a flock of n sheep. take a sheep, a, out. the remaining n − 1 are all the same color by induction. now put sheep a back in and take out a different sheep, b. by induction, the n − 1 sheep (now with a. are all the same color. therefore, all the sheep in the flock are the same color. what is wrong with al's "justification"?

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