It is becoming increasingly clear that the classic approach to linking which accounts for the projection of arguments into the syntax in terms of thematic roles (and/or some kind of lexical decomposition), has some serious shortcomings. This volume sets out to explore possible alternatives, which call into question the assumption that projection is rigidly determined by fixed lexical entries. Coming from varied backgrounds, the papers collected here converge on the general hypothesis that many semantic factors which influence the projection of arguments should instead be attributed to compositional and combinatorial processes. Proposals are presented for reassessment of the lexicon-syntax interface that include models of building up variants of lexical meanings in a flexible manner, as well as models where much of the putative role of lexical entries is supplanted by the structural context, in particular by functional projections. Among the topics addressed are questions of argument hierarchies and adicity of predicates, and the syntax and semantics of argument alternations in a set of very diverse languages which include English, Dutch, Scottish Gaelic, Finnish, Hebrew, Kannada, Malay, Greenlandic Eskimo, and Yaqui.