To: | "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx> |
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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
))
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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