> On 12 Mar 2020, at 14:07, Lawrence Crowell <[email protected]> 
> wrote:
> 
> On Wednesday, March 11, 2020 at 11:21:55 PM UTC-5, [email protected] wrote:
> You're ignoring quantum and photonic computing??!! 
> 
> 
> No, quantum computing does not even map NP problems into P. I does not get 
> around incompleteness results of Turing and Goedel.

That’s right. In fact super-hyper-machine does not escape incompleteness and 
can even be super-hyper-incomplete.Using the infinite to escape Gödel 
incompleteness does not work, or becomes trivial. 

I will consider admitting the infinite in the ontology the day I got an 
infinite salary :)

Even the induction axioms are not allowed in the ontology, despite being the 
main axiom about what is an observer.

Quantum computing (and I guess photonic computing) does not violate the 
Church-Turing thesis. David Deustch saw this clearly already in its main 
quantum computability paper.

Bruno



> 
> LC
>  
> 
> -----Original Message-----
> From: Lawrence Crowell <[email protected] <javascript:>>
> To: Everything List <[email protected] <javascript:>>
> Sent: Wed, Mar 11, 2020 10:31 am
> Subject: Re: Reachability for infinite -time Turing machines with long tapes
> 
> On Tuesday, March 10, 2020 at 10:16:38 AM UTC-5, Philip Thrift wrote:
> 
> https://arxiv.org/abs/1802. 05734 <https://arxiv.org/abs/1802.05734>
> 
> @philipthrift
> 
> It looks to be a version of the busy beaver problem. The scale of the problem 
> grows beyond computable bounds.
> 
> LC 
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