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Re: [ontolog-forum] IKL: self-referential propositions?

To: Pat Hayes <phayes@xxxxxxx>
Cc: Ontolog Forum <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Waclaw Kusnierczyk <Waclaw.Marcin.Kusnierczyk@xxxxxxxxxxx>
Date: Mon, 11 Jun 2007 10:34:16 +0200
Message-id: <466D0908.6070303@xxxxxxxxxxx>


Pat Hayes wrote:
>> Pat,
>>
>> would IKL allow this:
>>
>> (= p (that (p)))
>>
>> ?
>>
> 
> Yes indeed. And of course so is this:
> 
> (= p (that (not (p)))
> 
> although this, unlike your example, is unsatisfiable. (NOT paradoxical :-)
> 
> Check out the last section of the IKL spec for a brief comment of 
> paradoxical patterns in IKL:
> 
> http://www.ihmc.us:16080/users/phayes/IKL/SPEC/SPEC.html
> 
> we are working (fitfully) on this topic right now. There is a slideshow 
> of a talk I gave (to a logically unsophisticated audience) on this 
> general topic here:
> 
> http://www.ihmc.us/users/phayes/paradoxes.html    (01)

Great, thanks.    (02)


What about this:    (03)

(= p (ist p (that (p))))    (04)

?    (05)

vQ    (06)

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