Multidimensional Semantics of Evaluative Adverbs provides a multidimensional analysis for the lexical semantics of evaluative adverbs: nonfactive evaluative adverbs trigger a conventional implicature, whereas, factive evaluative adverbs not only trigger a conventional implicature but also a conventional presupposition. This analysis proves to be more advantageous than existing analysis in terms of empirical coverage and explanatory power. With the case of evaluative adverbs, the book demonstrates how secondary meanings (e.g. conventional presuppositions, conventional implicatures) interact with primary meanings (i.e. main assertion, or at-issue content). For the first time, a three-dimensional formal language of conventional implicatures and conventional presuppositions is implemented and applied to derive the right truth conditions of sentences with evaluative adverbs and predict their projection behaviors. With a cross-linguistic perspective (focusing on German, English and Mandarin Chinese) and using corpus- and psycholinguistic methods, the book also offers new perspectives on the syntax/semantics/pragmatics of adverbials.