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Is the Set of All Squares of Positive Integers Countable S={m∈Z∣m=k2S = \left\{ m \in \mathbf { Z } \mid m = k ^ { 2 } \right.

Question 16

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Is the set of all squares of positive integers countable? That is, is the set S={m∈Z∣m=k2S = \left\{ m \in \mathbf { Z } \mid m = k ^ { 2 } \right. for some positive integer k}k \} a countable set. Justify your answer.

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