On Wednesday, June 3, 2020 at 2:47:24 PM UTC-5, Brent wrote:
>
>
>
> On 6/3/2020 3:26 AM, Lawrence Crowell 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]> 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 
>>
>
> For the most part computers are meant to run various algorithms that solve 
> some restricted set of problems, say business applications. We use them 
> largely as tools.
>
>
> Mathematics is largely a tool.  My pure mathematics friends over on 
> math-fun seem to have most of their fun on Mathematica.
>
> Brent
>



I can't believe these mathematicians grovel themselves under the boot of a 
proprietary system. But I'm not surprised.

Mathematica is proprietary software restricted by both trade secret and 
copyright law. 

https://github.com/sympy/sympy/wiki/SymPy-vs.-Mathematica 


@philipthrift

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