Question: Show that there is a Turing machine T with the property that there is no Turing machine to tell of an arbitrary x whether or

Show that there is a Turing machine T with the property that there is no Turing machine to tell of an arbitrary x whether or not T eventually halts when started on input x; that is, show that there is Turing machine T with the property that the relation " T eventually halts when started on input x " is not Turing decidable.

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