> On 1 Mar 2020, at 19:11, Philip Thrift <[email protected]> wrote:
> 
> 
> 
> 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/ 
>>> <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 
>>> <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/ 
>> <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)

So, FORTH seems to confirm what I say, apparently. It is just that  FORTH use a 
different language to say the same truth. It says 2 2 + instead of 2 + 2. That 
shows the importance in distinguish the language (conventional) from the truth 
(not conventional).

I did not expect less from FORTH, one of the oldest and cutest universal number 
(aka Turing universal system) :)

Bruno





> 
> @philipothrift 
> 
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