From Computability to Simulability

We are intelligent, so we are conscient. We are in evolution, so we construct. We are not alone, so we have to contribute. Simulation relates function to structure: faith = (intuition, inspiration, imagination) and intelligence = (adaptability, consciousness, intention) are complementary one to another. Intelligence and Faith can converge together to integration, or can destroy each other if not associated by conscience. Intelligent simulation and the simulation of intelligence demand transcending the present limits of computability toward simulability by an intensive effort on extensive research to integrate essential mathematical and physical knowledge guided by philosophical goals. To get a selfaware simulation, i.e., self-control of the simulation process, we build a knowledge hierarchy corresponding to the simulation hierarchy. Then we create the context for a self-organization of the simulation, expressing the countervariant symmetric pair of hierarchy types (simulation, knowledge) in the reference system of the basic covariant hierarchy types (classes, symbols, modules). Therefore, we try first to model the consciousness for the simulation of the intelligence, and then to reach for intelligent simulation. We integrate the different types of hierarchies using the theory of categories. Conscience = (consciousness, inspiration).