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

• restricted quantifier
• restrictor
  
• relations between sets in set theory: identity (=), proper subset, subset, set difference (check book for missing symbols)
• cardinality of a set (||)
  
• operators for number comparison >, <, and related (check book for symbols)
  
• strong and weak determiners, noun phrases
  

Make sure you understand:

• that "in Generalized Quantifier Theory a quantifier determiner expresses a relation between sets" (Kearns, p. 73; my boldface)
• that we give a semantics to the logical formulae we build through the use of set theory: in particular, 
  
• we establish what the relationship between the set denoted by the restrictor and the set denoted by the predicate must be for the sentence to be true,
• using relations between sets and comparisons between their cardinalities
  
• the difference between strong and weak determiners wrt the role they play in discourse