Giving a frame to the concept space

The concept space is large, unexplored and open. Recently, concept structures preserving database concepts have been designed in the concept space. The properties of concept completeness and of class/concept completeness have been determined for the designed structures. Correct concept structures enjoying these properties delimit a subset of the concept space. Outside incompleteness holds. The properties are exploited to frame the concept space. Moreover, they are reference points for the introduction of new concepts and new concept structures in the open space. These structures can be correct, uncorrect, not necessary linked with the world of computer science. Examples of the frame applicability are given. In particular, a concept structure, representing a metaphor is introduced.