Pat, (01)
What might be analogous to 'orthogonality' is logical independence. (02)
Todd (03)
> At 9:10 AM -0500 3/4/08, Alan Ruttenberg wrote:
>> As used in the OBO Foundry, orthogonality is better first understood
>> on a term by term basis. Adding a term that is trivially redundant
>> with another one, by denoting the same thing, is the first thing to
>> avoid. Less trivially, if there is a way to logically define the new
>> terms in terms of existing ones, then not doing so leads to a
>> situation where two users might denote the same thing in two
>> unconnected ways: Using the new term, or using the compound of
>> existing terms. This is also to be avoided, if possible.
>
> That all sounds reasonable. What has it got to do
> with the topic of the question?
>
>> The reason to avoid these situations is that one typically uses an
>> ontology to mediate queries and it is desirable to have any query
>> return all relevant answers. Having two ways to say the same thing
>> means that the user needs to know both ways to ask the question, and
>> this puts a higher burden on learning and using the ontology.
>
> Quite. I repeat, what has this got to do with
> 'orthogonality' (whatever that is supposed to
> mean)?
>
>> Generalizing to orthogonality between ontologies, we'd understand two
>> ontologies as being orthogonal if no term in one is orthogonal to the
>> other ontology, in the senses above.
>
> You havn't GIVEN a 'sense above'.
>
> Also, this reads oddly. Two ontologies are foodle
> if NO term in one is foodle to the other? Are you
> sure that is what you meant to say?
>
>> -Alan
>> (preparing to take cover ;-)
>
> No, don't take cover. Just tell us what the hell you are talking about.
>
> Pat
>
>> On Mar 4, 2008, at 8:42 AM, Bill Andersen wrote:
>>
>>> It's a category error to apply the notion of orthogonality to
>>> ontologies since ontologies are not vectors.
>>>
>>> More informally speaking, there may be some sort of linguistic-based
>>> heuristic notion you're after but you'd have to say what that might be
>>> and what you want to do with it.
>>>
>>> Bill Andersen
>>> Ontology Works, Inc.
>>> 3600 O'Donnell Street, Suite 600
>>> Baltimore, MD 21224
>>> +1.410.675.1204 (w)
>>> +1.410.675.1201 (f)
>>> +1.443.858.6444 (m)
>>>
>>>
>>> On Mar 4, 2008, at 5:31 AM, "Alexander Garcia Castro"
>>> <alexgarciac@xxxxxxxxx
>>>> wrote:
>>>> Hopefully this is not so out of focus. I am looking for a definition
>>>> for orthogonality. When are ontologies orthogonal? Any body who can
>>>> recommend me some good papers about orthogonal ontologies? Is there
>>>> a measure for orthogonality?
>>>>
>>>>
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>>
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>
> (04)
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