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Date: Fri, 02 Sep 2005 16:23:23 +0200
From: Georg Bauhaus <bauhaus@futureapps.de>
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Subject: Re: Surprise in array concatenation
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Date: 2005-09-02T18:22:35+02:00
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Dmitry A. Kazakov wrote:
> On Fri, 02 Sep 2005 12:43:24 +0200, Georg Bauhaus wrote:
> 
> 
>>Dmitry A. Kazakov wrote:
>>
>>
>>>>>The problem with the current (Ada 83) design is that it tries to abstract
>>>>>away trivial mathematical facts:
>>>>
>>>>As does a computer :-)
>>>
>>>It does what you tell it. Computers do not have free will! (:-))
>>
>>So why do you want to tell it about non-computer mathematics?
> 
> 
> Huh, there is only mathematics and non-mathematics!

Not at all. Mathematics is not even a well defined term in a formal
sense of the word "definition". (Notice the recursion :-)

Thus computer-mathematics (as in theory of real, operating hardware)
if used in a PL context has to start from some description
of the real computer to be used with a PL program.

Real computers executing (non-empty) programs translated from Ada text
cannot but transorm a finite number (> 0) of finite (non-empty) sets
of discrete "fantasies" of electro-magnetic values, somehow coping
with the effects of one or more "times".

That excludes infinity and no-bits from real-computer mathematics,
for a start. Likewise, forget about non-discrete numbers.