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

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: "Barkmeyer, Edward J" <edward.barkmeyer@xxxxxxxx>
Date: Mon, 23 Jun 2014 15:19:45 +0000
Message-id: <9ecc080172b64052ad0637927e720fb0@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>

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.

 

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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