For more than a 30-year span, chess grandmaster Garry Kasparov was nearly unbeatable. But, in 1997, he faced an unlikely competitor: the IBM supercomputer Deep Blue. Kasparov lost the final match, which ended up being a turning point both for him and for our understanding of artificial intelligence. We talk with Kasparov about his new book, “Deep Thinking: Where Machine Intelligence Ends and Human Creativity Begins.”