ABSTRACT
This chapter aims to explain multiple quantification and investigates the logic and semantics of sentences in which a many-place predicate has two or more quantified noun phrases among its subjects. As preliminaries, it discusses two topics: ambiguity and formalization. Sometimes, sentences of the predicate calculus that involve multiple quantification are not ambiguous while the sentences of natural language that they translate are. Although the ambiguity of natural language is often exaggerated, some sentences with multiple quantification do admit of several readings. What is often called 'formalization' in logic is actually a translation into another language, that of the predicate calculus. The fact that single letters are often used in translating English words into the predicate calculus helps generate the illusion that the translation is a formalization. The chapter uses artificial language only in order to make some general statements about sentences of natural language.
