The main purpose of the book is to defend a new post-Gricean approach to the substantial lexicon and to the functional lexicon (tenses, connectives), and more specifically to explore lexical and non-lexical pragmatics. A precise approach to lexical and non-lexical pragmatic contents will be developed, with special emphasis on non-lexical temporal and causal information. A model for inferring temporal relations in discourse (the directional inferences model based on French data) is developed. This approach to temporal representations and inferences will be completed by a discussion on how causal inferences are triggered in discourse interpretation. The role of conceptual causal relations, as well as causal procedural information encoded in discourse connectives (mainly ‘because’, ‘therefore’, ‘and’), is empirically and theoretically supported. Pragmatic theory can be described as a very powerful interface system which gives access to lexical and functional information, and which contains rich pragmatic enrichment processes, for non-lexical information (quantifier, tenses, connectives) as well as for lexical information (event predicates). The book’s originality stems from its demonstration that pragmatic enrichment is structurally constrained, and occurs at the level of explicature.