 An extensional alternative was developed by Parsons (1989, 1990). Parsons, like Davidson (1967), assumes that first-order quantification over events is possible. But unlike Davidson, Parsons assumes quantification over eventualities in the sense of Bach (1986), which includes events proper but also states, processes and so on. Like Dowty, Parsons supposes that eventualities are split up into a development phase and a culmination phase. In order to represent this difference in first-order logic two new predicates are introduced, Cul\((e, t)\) and Hold\((e, t)\). The intuitive meaning of the first is that eventuality \(e\) culminates at time \(t\). The second one says that \(e\) is either an eventuality in its development phase or that \(e\) is a state. Given these assumptions a sentence like Mary drew a circle is translated into first-order formula (27), \(S\) is again short for speech time. 