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For each of the following statements, translate it into predicate logic and prove it, if the...

For each of the following statements, translate it into predicate logic and prove it, if the statement is true, or disprove it, otherwise: 1. for any positive integer, there exists a second positive the square of which is equal to the first integer, 2. for any positive integer, there exists a second positive integer which is greater or equal to the square of the the first integer, 3. for any positive integer, there exists a second positive which is greater or equal to the square of the the first integer, but smaller than the cube of the the first integer.

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