In this paper, we provide a theoretical explanation for many aspects of interval and fuzzy uncertainty: Why boxes for multi-D uncertainty? What if we only know Hurwicz's optimism-pessimism parameter with interval uncertainty? Why swarms of agents are better than clouds? Which confidence set is the most robust? Why μp in fuzzy clustering? How do degrees of confidence change with time? What is a natural interpretation of Pythagorean and fuzzy degrees of confidence?