  Ontologies have been used for the purpose of bringing system and consistency
to subject and knowledge areas. We present a criticism of the present
mathematical structure of ontologies and indicate that they are not sufficient
in their present form to represent the many different valid expressions of a
subject knowledge domain. We propose an alternative structure for ontologies
based on a richer multi connected complex network which contains the present
ontology structure as a projection. We demonstrate how this new multi connected
ontology should be represented as an asymmetric probability matrix.
