Multi-hierarchical Learning-based Cosimulation

Intelligence supposes, at least, consciousness and adaptability. Consciousness simulation demands transcending the present limits of computability, by an intensive as well as extensive research effort to integrate essential physical and mathematical knowledge guided by philosophical goals. Separating the different hierarchy types reveals their comprehensive constructive importance based on structural approach, symbolic meaning, objectoriented representation, their combination in looking for self-organization, self-control and conscience. Multiple, coexistent and interdependent hierarchies structure the universe of models for complex systems, e.g., hardware/ software ones. They belong to different hierarchy types, defined by abstraction levels, block structures, classes, symbolization and knowledge abstractions. Abstraction and hierarchy are semantic and syntactical aspects of a unique fundamental concept, the most powerful tool in systematic knowledge; hierarchy results by formalizing abstraction; only, hierarchies are still constraint by computability, while abstraction assists beyond learning also consciousness and intuition. Hierarchies of different types correspond to the kind of abstraction they reflect. The gap that appears between reflexive abstraction and hierarchical computation is an important challenge for the mathematical and scientific community.