Educated intuition is at the very core of all science. The first question for a researcher is—what research questions are worthwhile to ask in the first place. Intuition here comes first—yet it is educated, not naïve and not "pure." There are many layers of personal-cultural needs that turn an ordinary person into a scientist. Here the scientist and artist function similarly—the emergence of an idea is hidden somewhere in the internal infinity of our mind.Methodology is at the center of our knowledge creation. Yet it is an ambiguous term—often considered to be a synonym of "method." This reduction is not allowable. Here we insist upon strict but inclusive separation of the two—"method" is part of Methodology Cycle and has no existence outside of that cycle. The chapter includes exposition of the whole Methodology Cycle and its various transformations.