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From: "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de>
Subject: Re: unsigned type
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Date: Mon, 29 Jun 2009 14:43:59 +0200
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Date: 2009-06-29T14:40:46+02:00
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On Mon, 29 Jun 2009 11:52:39 +0200, Georg Bauhaus wrote:

> Dmitry A. Kazakov schrieb:
>> On Sun, 28 Jun 2009 17:34:29 -0500, Gary Scott wrote:
>> 
>>> tmoran@acm.org wrote:
>>>
>>>> Ada's equivalent is Natural.  If
>>> Sorry for the naive question.  I'm curious as to the reason for the term 
>>> "natural".  "Unnatural" would seem more descriptive :)
>> 
>> Far better than Cardinal, though. Last time I used Modula-2, its Cardinal
>> didn't contain aleph-0 and aleph-1... (:-))
> 
> What actually _is_ the mathematically correct word
> for Ada's Natural?

I think that "natural" is better than "cardinal". Of course it is not all Z
(natural). It is a subset of Z plus an ideal Constraint_Error to represent
the interval ]Natural'Last..+oo[:

{ 0, 1, 2, ..., Natural'Last, Constraint_Error }

The semantics of Natural operations differs from Z when Constraint_Error is
propagated. Further, there are operations undefined on Z, like
Natural'Size, X'Address etc.

-- 
Regards,
Dmitry A. Kazakov
http://www.dmitry-kazakov.de