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On 3/9/2024 7:47 AM, immibis wrote:I am not sure what Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ <H> would do except for exactly the same thing that H ⟨Ĥ⟩ ⟨Ĥ⟩ <H> would do.On 8/03/24 22:34, olcott wrote:I am not sure what Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ <H> would do except halt or fail to halt>And since H^ can "lie" to that embedded H^.H about what its description is, that H can't tell that it is part of an H^ computation that is simulating an H^ computation.>
That subject must be postponed until after the Olcott refutation
of the exact Linz proof is either fully accepted by three people
or actual errors or gaps are found that cannot be addressed or
corrected.
It's accepted that the Linz proof doen't work on Olcott machines because the Linz proof is designed for Turing machines. But you can't refute the Linz-immibis proof designed for Olcott machines, where H is lied to about its own description.
and H ⟨Ĥ⟩ ⟨Ĥ⟩ <H> could see that.
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