Despite this recent work on omniscience, the main disputes in the literature center on the traditional definition of omniscience; accordingly, this entry will concentrate on them. These disputes have focused on the scope of the quantifier in (D1), whether, for example, it includes propositions about the future, whether (D1) requires an omniscient being to change as time goes by, whether it requires enough for maximal knowledge, and whether it (falsely) presupposes that there is a set of all truths.