The structural component of the pure aspect of the natural part of the IFF represents category-theoretic foundations. From one perspective, the structural component represents the organization of mathematics, as opposed to the foundations of mathematics. There are several meta-ontologies in the structural component — the IFF Category Theory (meta) Ontology (IFF-CAT), the IFF 2-Category Theory (meta) Ontology (IFF-2CAT), the future IFF Double Category Theory (meta) Ontology (IFF-DBLCAT), and the future IFF Bicategory Theory (meta) Ontology (IFF-BICAT), all generic and parametric. Generic means that the terminology and axiomatization for any two metalevels is identical. Parametric means that the metalevel index is a parameter. Hence, only one copy of the generic version of these meta-ontologies with a level parameter is needed for all finite levels.
![[The Information Flow Framework]](http://suo.ieee.org/IFF/images/iff-icon-thumbnail.gif "The Information Flow Framework"){kind=icon}