The paradigm example of a quantity implicature is the inference from “some” to “not all”, as in:

Some bankers are crooks > Not all bankers are crooks.

In recent years, quantity implicatures have received a lot of attention not only from philosophers and linguists, but from experimentalists, too, and the number of theoretical analyses has increased in proportion. In this talk, I will give an overview of the main strands that have emerged from all this research, with special emphasis on the issue of “embedded implicatures”. I will argue that the extant data still favour the classical analysis inspired by the work of Grice, but I will also show that the Gricean framework will have to be extended so as to account for phenomena below the sentence level.