Weak atheism is also sometimes called agnostic atheism because people who self-consciously lack belief in gods tend to do so for agnostic reasons. Weak atheism is sometimes called implicit atheism because the person's atheism is not necessarily expressed directly. Instead, their atheism is implied as a logical consequence of their epistemology and ontology.
Some atheists are critical of the label "weak atheism" because it seems to describe them as people or perhaps to describe their reasons for their atheism. This is understandable, but the fact that the adjective "weak" describes the sort of claim being made — or rather the fact that no particular claim is being made — is important and worth underscoring.
Every atheist is at least a weak atheist. They may be more than just a weak atheist, depending on what sort of position they adopt with respect to what gods, but weak atheism is the most minimal position that can be ascribed to all atheists and which all atheists have in common. Indeed, it's the only thing that all atheists have in common.
