Kirk Ludwig develops a novel reductive account of plural discourse about collective action and shared intention. He argues that collective action is a matter of there being multiple agents of an event and requires no group agents, while shared intentions are distributions of intentions across members of the group. This book is without doubt an impressive achievement, and there is much to learn from the authors meticulous approach. I suspect few readers will be drawn in by Ludwigs focus on the logical form of action sentences, but much Of the book can be appreciated independently of this. The explanatory aim of his overall reductive project is refreshingly ambitious and wide in scope. The arguments by which he pursues it are illuminating and mostly convincing. I wholeheartedly recommend this book to those interested in action theory in general, and to those focused on joint agency in particular. I am looking forward to reading volume 2.