On Sunday, March 1, 2020 at 8:02:41 AM UTC-6, Bruno Marchal wrote:
>
>
> On 28 Feb 2020, at 19:32, Philip Thrift <[email protected] <javascript:>> 
> wrote:
>
>>
>> *Real computing is computing voided of Platonism.*
>>  
>>
>> https://codicalist.wordpress.com/2018/09/30/real-computationalism/
>>
>>
>> Take arithmetic (encoded in the Peano axioms):
>>
>> *Peano axioms of natural numbers in Agda*
>> https://gist.github.com/IKEGAMIDaisuke/1211203
>>
>>
>> What is its ultimate semantics? 
>>
>>
>> The standard model of arithmetic, which refers to what we have learned in 
>> school. 
>>
>>
>
> So much for the mathematical educational system. It has become an 
> orthodox, fundamentalist divinity school.
>
>
> Have you heard of parents taking their kids out of school after they 
> taught that 2 + 2 = 4?
>
> I am not sure what you are saying here, nor below. If you can elaborate?
>
>
> That "2_2=4" works in Einstein's theory - and it its numerical relativity 
> implementations - is a matter of *mathematical pulp fictionalism*. 
>
> https://codicalist.wordpress.com/2018/08/26/mathematical-pulp-fictionalism/
>
>>
>>
>
In a stack-based language (e.g like a FORTH variant) world 
  
       2 + 2

results in 2 on top of the stack.

push 2
push +  (top of stack is combined with what's below, which is empty)
push 2
 (stack is 2 2)

vs        2 2 +  
  (stack sequence is 2, 2 2, 4)

@philipothrift 

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