 We can identify two key tasks for the notion of fundamentality. The first is to capture the idea that there is a foundation of being, which consists of independent entities. The second is to capture the idea that the fundamental entities constitute a complete basis that all else depends on. These tasks are related. In fact, the first would seem to require the second, but not the other way around. We will see that prioritizing one or the other of these tasks may result in different accounts of fundamentality. The second task may be applied to relative fundamentality and used to express the idea that there is a hierarchy of being whereby some entities are more fundamental than others, although strictly speaking this hierarchical picture is independent of the notion of a complete basis.