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SUO: RE: Re: Policy On Substitutions




Dear Jon,

I share your concern about the nature of variables, but fail to see from
what you right below how they can be eliminated. Please could you explain
with a non-abstract example?

Regards  
      Matthew
============================================
Matthew West
Operations & Asset Management
Shell Services International
H3229, Shell Centre, London, SE1 7NA, UK.
Tel: +44 207 934 4490 Fax: 7929 
Mobile: +44 7796 336538
E-mail: Matthew.R.West@is.shell.com
http://www.shellservices.com/
============================================

> -----Original Message-----
> From: Jon Awbrey [mailto:jawbrey@oakland.edu]
> Sent: 11 February 2001 17:12
> To: Stand Up Ontology
> Subject: SUO: Re: Policy On Substitutions
> 
> 
> 
> Robert Meersman wrote:
> > 
> > ### happy birthday Jon Andre!  Am VERY curious about
> > the semi-ontological effects of the mimosas ...  :-)
> > 
> > --Robert Meersman
> 
> ¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤
> 
>    ¤
>   º
>    .°
>   \_/
>    |
>   -^-
> 
> Robert,
> 
> Let's see if we can cure you of that 'very' curiosity!
> 
> Once upon a time, a very long time ago, back when
> I was deep in the muddle of my very first, and my
> most extenuous "crisis of foundations" (COF, COF),
> I was very sorely afflicted, among the variety of
> other affectations that flesh and grass are heirs
> to, with an anxious "ontological insecurity" (OI),
> focussed on the "ontological status of variables",
> the eventual resolution of which difficulty, over
> too long a time to believe for the obviousness of
> its ultimate form, was simply to banish variables
> altogether from the realm of our finely canonical
> & our most finally, commonly, sans-critical koine.
> 
> Henceforward, and for the rest of time, let us then say
> that there are actually no "open sentences" at all, not
> in our most wholy sanctioned languages, but that such a
> common nickname or vulgar form of words as "Bla, bla X"
> is really just a general name, a pleonastic periphrasis,
> or perhaps just a colloquial circumlocution for a whole
> collection of signs or sentences of a similar configure,
> except with the "X" respliced by a fully concrete piece
> of a fixed signal, or a fitful token of a sentence part.
> 
> It needs to be noted that the specification of this 
> collection of signs
> in no way relies on the particular artifices or the 
> specialized devices
> of anybody's rude mechanics for performing substitutions, but 
> since the
> collection of signs is conceived to exist, in some sense of 
> "existence",
> prior to its secular and timely indications by the likes of 
> me and thee,
> well, then we note, ours is not to question why, ours is but 
> to specify.
> The point is that any way of specifying the desired 
> collection of signs
> is equally as good as any other, to any of which 
> indiscernible outcomes,
> assuming that they do indeed meet any one of many reasonably 
> equivalent
> specifications, one might affix any convenient nickname for 
> the species.
> 
> So, for example, the so-called "open expression" of the form "x + x",
> where the values that one associates with the variable token "x" are
> the elements of the non-negative numbers N = {0, 1, 2, ...}, is just
> a nickname for the set of constant expressions that begins like this:
> 
> "0 + 0", "1 + 1", "2 + 2", ...
> 
> And it is species of perfectly constant signs like this
> that are the actual subjects of our generic discussions
> in this regard, thereby removing every last trace of my
> onetime "ontological insecurity" (OI) about "variables".
> 
> And that, my friends, is something to celebrate!
> So leave me to my illusions, at least for a day!
> 
> Cheers,
> 
> Jon
> 
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