After an introductory presentation of basic categories of eventualities, such as events, actions, states, situations, facts, of the Lexicon, such as proto-roles, ranks in argupentstructures, we address controversial topics: anti-causative alternation predicates, the Inaccusative Hypothesis, motional predicates. On the first topic, we defend a causativity-type analysis, on the second one, an achievement/activity contrast-based description of sets, and on the third an argument-structure based one.