Universics - a Common Formalization Framework for Brain Informatics and Semantic Web

This chapter is an introduction to a conceptual framewok and a mathematical apparatus, said to be Universics, designed to serve for integration of other disciplines via their universes of discourse and, in particular, for the integration of Brain Informatics and Semantic Web, which are in the focus of this chapter. By universe I refer not only to what is said to be a „universe of discourse“, but also to any modeling framework where, for modeling, we use representation rather than discourse, so that such universe can be said to be a „universe of representation“. Universics is a fundamental theory which posits the notion of universe (or world) with a plural universes (or worlds) in the basis of a conceptual framework, and expresses other notions through this basis. An object said to be a universe must be rather complex and only a complex mathematical structure can serve as its formalization. I have previously outlined (Drugus, 2007) an approach to the content of mind said to be the A3 approach. This approach is introduced in this paper in full detail and used for the formalization of the concepts of Universics which, thus, becomes centered around the A3 approach. The A3 approach can also serve for the formal specification of an intelligent agent a virtual machine for processing ‚mind content’ which adds non-determinacy to the Turing machine to enhance its algorithmic capabilities with features of intelligence. I will outline the features of such a machine, which I say to be a conceptor, but a complete specification of conceptor would require a separate publication. I had to make reference to this intelligent agent here, because its involvement simplifies the account of Universics strongly centered around the data model of ‚mind content’ of such an intelligent agent. Since the ‚mind content’ of an intelligent agent is obtained in result of cognition of the Universe and is „in the image“ of the Universe, it is natural to say a piece of mind content to be a universe an „inner universe“, „subjective universe“, or „subject universe“, as opposed to the „objective universe“ or „object universe“. Moreover, due to the A3 approach, the ‚mind content’ has a strictly specified „format“, defined in the language of an enlarged set theory said to be A3 language. Therefore, by applying „conceptual inverse engineering“ (my term), I ascribe this „format“ to any universe. Having this manner obtained a uniform 4