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Re: [ontolog-forum] Scheduling a Discussion [was: CL, CG, IKL and the re

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Pat Hayes <phayes@xxxxxxx>
Date: Fri, 18 Jan 2008 10:30:30 -0600
Message-id: <p06230901c3b6836de0c4@[10.100.0.22]>
At 8:27 AM -0500 1/18/08, John Black wrote:
(disputing myself)
 
on Thur. Jan. 17, 2008, at 11:38, John Black wrote:
 
JB>In other words, my intuition says that in this case: (ist today (and A (not A))), today is not a valid context for that tautology because there is no other context, which if it took the place of "today", would change the value of that tautology.
 
I just realized that if A = "(President JimmyCarter)" and the time interval was 'time-interval:1950-2000' then A would in fact be both true and false within that interval - just at different times points or intervals within that interval.

Yes....
 In other words:
 
    (ist time-interval:1950-2000 (and (President JimmyCarter) (not (President JimmyCarter)))).

...nope. You have to be more careful. (and A (not A)) is never true. Its false when A is true and its false when A is false. What you mean is that there are (at least) two parts of the context 1950-2000, and A is true in one of them and false in the other. Now you are doing context mereology (theory of parts). Using the notation from my 'note', it comes out like this:

(exists (C D)(and
        (C < 1950-2000)
        (D < 1950-2000)
        (ist C (President JimmyCarter))
        (ist D (not (President Jimmycarter)))
))

 
So today is is a "valid context" (if there is such a thing) since there are other intervals that make that proposition true.
 
I'm going back to more reading and thinking.....
 
John
 
 
 
 

 
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