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Re: [ontolog-forum] Fwd: MOVED: Re: [ontology-summit] Hackathon: BACnet

To: Hassan Aït-Kaci <hak@xxxxxxx>, "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: sowa@xxxxxxxxxxx
Date: Thu, 21 Mar 2013 05:44:51 -0400 (EDT)
Message-id: <a90f4b503a87e6f6e533d4cdd55299ef.squirrel@xxxxxxxxxxxxxxxxxxxx>

Two points:

1. It is certainly true that you can map A gives B to C into a form that uses only dyadic relation.

2. But Peirce was trying to explain that you have simply converted one triad into a triad of a different form.

I'll just use predicate calculus notation, since it's easy to type.  But the point is obvious when you use a graph notation.

With a triadic relation:


With three dyadic relations and a monadic relation give(x):

     (Ex) give(x) & agent(x,A) & theme(x,B) & recipient(x,C)

In the first version, you have a triadic connection of A, B, and C to the relation named gives.

In the second version, you have a triadic connection of A to agent to give, B to theme to give, and C to recipient to give.

You still have a triad, but the central node is called give instead of gives.



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