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Re: [ontolog-forum] What words mean

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Chris Menzel <cmenzel@xxxxxxxx>
Date: Wed, 20 Feb 2008 11:36:38 -0600 (CST)
Message-id: <alpine.OSX.1.00.0802201115070.1883@xxxxxxxxxxxxxxx>
On Wed, 20 Feb 2008, Pat Hayes wrote:
> ...
>> What do you see as the difference between a tree and a partial
>> ordering?
> A tree is a partial order which obeys the extra condition that each
> item has a unique immediate predecessor.    (01)

If it has one at all -- trees can have (indeed typically do have)
"roots".  Also, trees have to be acyclic (no loops) and connected (you
can get from any node to any other by traversing links); in fact, you
can define a tree to be a connected acyclic graph.  (Pat knows all this,
he's just talking fast, as usual. :-)    (02)

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