Hierarchical Ascending from Discrete to Continuous

Intelligence = (consciousness, adaptability, intention) and faith = (inspiration, intuition, imagination) are the complementary parts of human mind. Conscience = (consciousness, inspiration) is the link between them. Simulation relates function to structure. Conscience simulation demands transcending the present limits of (discrete) computability to what we call (continuous) simulability, by an intensive effort on extensive research to integrate essential mathematical and physical knowledge guided by philosophical goals. A way to begin is hierarchical simulation. Applying "Divide et Impera et Intellige" to hierarchy types reveals their comprehensive constructive importance based on structural approach, symbolic meaning, and conceptual representation. A theoretical kernel was created by formalizing hierarchy types into the theory of categories, to contribute to the intelligence of real systems (EUROCON 2005). We continue by applying the hierarchies that link the countable to the uncountable by metric spaces and constructive real numbers.