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1. Informally show that there are infinitely many Turing machines which not only diverge on infinitely many inputs, but also halt for infinitely many inputs.
1. Informally show that there are infinitely many Turing machines which not only diverge on infinitely many inputs, but also halt for infinitely many inputs. 2. Informally show that there are infinitely many Turing machines which diverge on infinitely many inputs, but halt for finitely many inputs. 3. Informally show why the number of total functions is greater than the number of Turing machines
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