1. Let S = N N, the set of all ordered pairs of natural numbers. Prove...
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1. Let S = N N, the set of all ordered pairs of natural numbers. Prove that S is countable. (0 0) (0 1) (0 2) (03) (04) .... (1 0) (1 1) (1 2) (1 3) (14) (2 0) (2 1) (2 2) (2 3) (2 4).. (3 0) (3 1) (32) (3 3) (3 4). (4 0) (4 1) (42) (43) (44).... 1. Let S = N N, the set of all ordered pairs of natural numbers. Prove that S is countable. (0 0) (0 1) (0 2) (03) (04) .... (1 0) (1 1) (1 2) (1 3) (14) (2 0) (2 1) (2 2) (2 3) (2 4).. (3 0) (3 1) (32) (3 3) (3 4). (4 0) (4 1) (42) (43) (44)....
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