Tom Griffiths introduces himself: I’m a cognitive scientist — a professor of psychology and computer science at Princeton University — so I think about minds and mathematics every day. But we are in an interesting moment where people who aren’t professional cognitive scientists are grappling with the same questions: Can machines think? Is it possible to describe minds using mathematics? What are the limits of different approaches to building a mind? Will we be able to create super-human artificial intelligence? These are questions that have come into focus in the last few years with the creation of chatbots that can hold conversations and solve challenging problems, but answering the questions we have about modern AI requires going further back into the past. In writing the book, I hoped to give readers the context for this moment and some of the language for talking about it, as well as highlighting the stories of discovery that brought us to this point and that suggest possible paths...