The Grammatical Theory of Scalar Implicature
Chierchia, Fox, and Spector's covert exhaustification operator, embedded implicatures, and free choice
Planned, not yet written
This rung already has its place in the Philosophy of Language ladder and a fixed job in the order. The prose is what is missing. Writing it out of sequence would break the guarantee that nothing here uses a term before an earlier article defines it.
Will defineexhaustificationembedded implicaturefree choice inferencegrammatical theory of implicature
Assumesscalar implicatureHorn scalealternative semanticscancellability