Further to my earlier emails regarding ontologies that force and empty universe of discourse. I propose that we augment the definition of an Abstract OWL interpretation in Section 3 of S&AS with the condition that EC(owl:Thing) is a non-empty set (we already have that R, the resources of I, is a non-empty set). This would have the benefit that: - axioms such as "A implies not A" would be considered inconsistent (currently this is consistent). - ontology consistency in OWL DL would be equivalent to the consistency of the class Thing (using the standard definition of class consistency); - an OWL DL ontology would be inconsistent just in case the corresponding FO theory entails false; - an OWL DL ontology would be inconsistent just in case the corresponding SHOIQ(Dn) knowledge base is inconsistent. Regards, IanReceived on Wednesday, 29 October 2003 18:56:39 UTC
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