Note On Terminology
In logic, a property is a unary predicate in intention, in other words a property is what it means to be a member of a class. For example, we say that instances of the Person class have the property of "being a person." In the semantic web, a property is a binary relation.
The distinction between property and class is subtle, and probably not critical to understanding OntoClean, however this article, follows the OntoClean publications and consistently uses "property" according to its original meaning, and one can treat "property" and "class" as synonymous. Thus a metaproperty is a property of a property or class.
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“The most considerable difference I note among men is not in their readiness to fall into error, but in their readiness to acknowledge these inevitable lapses.”
—Thomas Henry Huxley (1825–95)