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Re: [ontolog-forum] Truth

To: "Avril Styrman" <Avril.Styrman@xxxxxxxxxxx>
Cc: John Bottoms <john@xxxxxxxxxxxxxxxxxxxx>, "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Pat Hayes <phayes@xxxxxxx>
Date: Thu, 26 Jul 2012 21:56:11 -0500
Message-id: <69B6E20C-2347-43C8-8AB1-EE53CA24B84B@xxxxxxx>

On Jul 26, 2012, at 2:13 PM, Avril Styrman wrote:    (01)

> Lainaus "Pat Hayes" <phayes@xxxxxxx>:
> 
>>> can you cite any article that talks about contexts in terms of sets with 
>different ranks?
>> 
>> Not sure what you mean by 'rank' here. Do you mean as in set theory where 
>the rank of an ordinal is the ordinal? If so, I don't know how to interpret 
>that in context language, but it sounds intriguing.
> 
> Yes, I meant the level of granularity of sets by rank. For instance, in KPU 
>and ZFU which incorporate ur-elements a,b,c,... the rank of {a} is 1 and the 
>rank of {{a}} is 2. In mereology all parts are parts of the same level, but 
>while a is member of {a}, it is not member of {{a}}. This way, set theories 
>could function as a foundation of granularity and context, at least in 
>classifying stuff. Can you cite any articles that discuss this?    (02)

No, its a wholly new idea to me. I would encourage you to work on it and see 
how far it goes :-)    (03)

Pat    (04)

> 
> Avril
> 
>     (05)

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