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
Make sure you know how to:
 translate a sentence with one or more restricted quantifier into a formula in predicate logic
 represent the scopal ambiguity introduced by quantifiers using restricted quantifiers (see example (15))
 AND paraphrase the different meanings represented by each formalization
 express the truth conditions of a sentence involving restricted quantifiers using set theory
 how to identify strong and weak determiners / noun phrases (section 4.5)
