On Saturday, March 14, 2020 at 5:23:53 AM UTC-5, Bruno Marchal wrote:
>
>
> On 12 Mar 2020, at 14:07, Lawrence Crowell <[email protected] 
> <javascript:>> 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
>
>
>
Quantum computers obey the CT thesis. What might be called black hole 
computers the same holds. Quantum gravitation is the same, and my essay on 
FQXi explores this.

LC
 

>
>
> LC
>  
>
>>
>> -----Original Message-----
>> From: Lawrence Crowell <[email protected]>
>> To: Everything List <[email protected]>
>> 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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