> On 3 Jun 2020, at 08:11, Philip Thrift <[email protected]> wrote:
> 
> 
> 
> On Tuesday, June 2, 2020 at 12:34:37 PM UTC-5, Brent wrote:
> 
> 
> On 6/2/2020 2:49 AM, Bruno Marchal wrote: 
> >> On 1 Jun 2020, at 22:43, 'Brent Meeker' via Everything List 
> >> <[email protected] <javascript:>> wrote: 
> >> 
> >> 
> >> 
> >> On 6/1/2020 2:08 AM, Bruno Marchal wrote: 
> >>> Brent suggest that we might recover completeness by restricting N to a 
> >>> finite domain. That is correct, because all finite function are 
> >>> computable, but then, we have incompleteness directly with respect to the 
> >>> computable functions, even limited on finite but arbitrary domain. In 
> >>> fact, that moves makes the computer simply vanishing, and it makes 
> >>> Mechanism not even definable or expressible. 
> >> That's going to come as a big shock to IBM stockholders. 
> > 
> > Why? On the contrary. IBM bets on universal machine 
> 
> No, they bet only on finite machines, and they will be very surprised to 
> hear that they have vanished. 
> 
> Brent 
> 
>  
> 
> Next April 1, IBM should announce their IBM Zeno computer
> 
> 
>        that allows a countably infinite 
> <https://en.wikipedia.org/wiki/Countably_infinite> number of algorithmic 
> steps to be performed in finite time
> 
> https://en.wikipedia.org/wiki/Zeno_machine 
> <https://en.wikipedia.org/wiki/Zeno_machine>
> 
> @philipthrift 

That entry in wikipedia does not make much sense to me. Neither physically, nor 
mathematically. It needs to be elaborate … a lot.

Bruno



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