Make sure you know what the following concepts mean and how to use them appropriately:

• entailment
• adicity (number of arguments) of a predicate
• event variable
• thematic role

• what the problem is with assigning a fixed number of arguments to each predicate in a logical form, and what role entailments play in the argument (section 8.1);
• how the introduction of an explicit event variable e solves this problem;
• why the Davidsonian solution is still problematic and what the Neodavidsonian analysis brings;
• why thematic roles are useful, and how the Neodavidsonian analysis including thematic roles works;
• why the event variable is existentially quantified. 

• formalize a sentence using a Neodavidsonian representation, and in particular using thematic roles, and including tense and NP quantifiers (examples (60-61));
• warning: watch out for interactions between tense, quantifiers, and the existential quantification over the event variable! (discussion in section 8.5).