On 9/11/2018 2:13 AM, Bruno Marchal wrote:
Can the universal Diophantine equation emulate a hypercomputer?

Might say more on this if asked. That has been explained already in this list more than once. Deutsch assume a primitive physical reality. That is coherent with the CT part of mechanism, but not the YD part (the yes doctor, the first person indeterminacy). Mechanism is CT + YD. It leads to a constructive reduction of the mind-body problem to a deduction of the laws of physics from machine theology or machine self-reference if you prefer. And its works, the physics deduced until now, even if quite modest, is already enough quantum like to cast light on the origin of the measure on the computation/sigma_1 sentences.

Naah.

Please, elaborate. Once you grasp that mechanism entails we are emulated in infinitely many computations in arithmetic, I don’t see how any of this can be avoided.

Understanding something isn't the same as believing it.  I understand that Sherlock Holmes lived on Baker Street.

If you believe that there is something like a physical universe, or a any god or ontology, capable of selecting a computation in arithmetic, you need to explain what it is, and how it does that trick.

I don't believe there are computations in arithmetic, because I don't believe arithmetic exists.

Brent

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