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From: "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de>
Subject: Re: Quantified Expressions: "some"
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Date: Wed, 17 Nov 2010 14:38:19 +0100
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Date: 2010-11-17T14:38:20+01:00
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On Wed, 17 Nov 2010 12:05:14 +0000, (see below) wrote:

> On 17/11/2010 10:46, in article 1t7pvrh3i022d.8t9yqjonagar$.dlg@40tude.net,
> "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> wrote:
> 
>> On Tue, 16 Nov 2010 22:31:50 -0800 (PST), AdaMagica wrote:
>> 
>>> On 17 Nov., 01:03, Georg Bauhaus <rm-host.bauh...@maps.futureapps.de>
>>> wrote:
>>>> � (for all  X in domain | P (X))
>>>> � (for some X in domain | P (X))
> ... 
>> "for some" looks awful, why not "exists" or U+2203, since we are Unicode
>> now? (:-))
> 
> Why? It reads as perfectly idiomatic English and is standard mathematical
> phrasing.

I never saw "for some" quantification.

BTW, it also looks inconsistent with Ada. The proposal uses | in the
meaning "condition". But Ada's meaning for | was "union." The word Ada used
for "condition" was "when."

I have no idea what the proposal would do with:

   ( for all X in 1 | 3..5 | F'Range | P(X) )

One could use a simpler notation for convolutions/set measures than the
above, and, in any case, without introduction of a free variable (e.g. X).

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