This volume includes papers on implicature (Kent Bach), inference (Betty Birner), presupposition (Barbara Abbott), lexical semantics (Georgia Green, Sally McConnell-Ginet, Steve Kleinedler & Randall Eggert), negation (Pauline Jacobson, Frederick Newmeyer, Scott Schwenter), polarity (Donka Farkas, Anastasia Giannakidou, Michael Israel), implicit variables (Greg Carlson & Gianluca Storto), definiteness (Barbara Partee), reference (Ellen Prince, Andrew Kehler & Gregory Ward), and logic (Jerrold Sadock, Francis Jeffry Pelletier & Andrew Hartline). These original papers represent not only a fitting homage to Larry Horn, but also an important contribution to semantic and pragmatic theory.