Question: 7. Informally prove the statement: A Turing machine cannot verify the divergence of another Turing machine. (One paragraph limit !). 8. Is the number of

7. Informally prove the statement: "A Turing machine cannot verify the

7. Informally prove the statement: "A Turing machine cannot verify the divergence of another Turing machine." (One paragraph limit !). 8. Is the number of total functions from N to {1} greater than the number of recursive functions ? Justify your answer. 9. Is the cardinality of the set of partially recursive functions greater than the cardinality of the set of recursive functions ? Justify your answer. 7. Informally prove the statement: "A Turing machine cannot verify the divergence of another Turing machine." (One paragraph limit !). 8. Is the number of total functions from N to {1} greater than the number of recursive functions ? Justify your answer. 9. Is the cardinality of the set of partially recursive functions greater than the cardinality of the set of recursive functions ? Justify your

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