The basic claims of traditional truth-conditional semantics are that the semantic interpretation of a sentence is connected to the truth of that sentence in a situation, and that the meaning of the sentence is derived compositionally from the semantic values meaning of its constituents and the rules that combine them. Both claims have been subject to an intense debate in linguistics and philosophy of language. The original research papers collected in this volume test the boundaries of this classic view from a linguistic and a philosophical point of view by investigating the foundational...