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Re: [ontolog-forum] puzzles

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Chris Menzel <cmenzel@xxxxxxxx>
Date: Sun, 30 Apr 2006 14:42:36 -0500
Message-id: <20060430194236.GU96390@xxxxxxxx>
On Sun, Apr 30, 2006 at 01:43:08PM -0500, Chris Menzel wrote:
> ...
> (1) Each label h in L corresponds to exactly one proxy and vice versa.
> 
> (2) Let P = L x V.  P is the set of *properties*.
>     
> (3) A *proxy* is a finite set of properties.
> 
> (4) The set X of all proxies is the set of all subsets of P, i.e., X is
>     the power set of P.
> ...
> Problem 1 can be avoided by (i) requiring the set L of labels and the
> set V of values to be finite, or (ii) allowing infinite proxies, or
> (iii) restricting the definition of the set X to the set of all
> *finite* subsets of P.  Given that finitude is explicit in (4),     (01)

Should be: (3),    (02)

> its omission from (5)     (03)

Should be: (4).    (04)

> simply appears to be an oversight, so solution (iii) might be
> preferred here.    (05)

-chris    (06)

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