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Re: [ontolog-forum] Types of Formal (logical) Definitions in ontology

To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>, "Barkmeyer, Edward J" <edward.barkmeyer@xxxxxxxx>
From: Pat Hayes <phayes@xxxxxxx>
Date: Mon, 23 Jun 2014 12:25:40 -0500
Message-id: <ECE7A04A-516A-4EE8-96B9-1F033DF7DA59@xxxxxxx>

On Jun 23, 2014, at 10:19 AM, Barkmeyer, Edward J <edward.barkmeyer@xxxxxxxx> 
wrote:    (01)

> Robert,
>  
> ISO 1087-1 and ISO 704, which are standards for creating vocabularies and 
>definitions (and did not arise from a formal logic community), specify two  
>mechanisms for defining a ‘concept’ or ‘class’:
>   1) identify a more general concept and the delimiting characteristics of 
>the subordinate concept being defined
>     This is exactly:  An A is a B that C.
> 2) identify a list of subordinate concepts that together cover the more 
>general concept being defined – the union of other defined classes:
>     An A is a B or a C or a D.    (02)

This reminds me of the Gaia hypothesis to explain the origin of life: it came 
from somewhere else. If all classes are defined in terms of other classes, 
where does the whole process get started?    (03)

Pat    (04)


>  
> One can also define a Class as the intersection of two or more classes, but 
>that is just a special case of (1):  An A is a B that is also a C.
>  
> I’m not aware of any others.
>  
> -Ed
>  
> From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx 
>[mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of 
>rrovetto@xxxxxxxxxxx
> Sent: Saturday, June 21, 2014 9:32 PM
> To: [ontolog-forum]
> Subject: [ontolog-forum] Types of Formal (logical) Definitions in ontology
>  
> All,
> 
> 1) How many types of formal (logical) definitions of terms/classes do you 
>know of?
> 
> For example, a term can be defined in a genus-species form: An A is a B that 
>C.
> 
> What others do you know of?
> 
> 2) For ontologies, are there non-FOL definitions? 
> Are there definitions not based on syllogistic logic?
> 
> 3) And what are the pro's and con's of each?
>  
> Thank you.
> 
> Robert
> 
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