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What was once science fiction is fast becoming reality, as AI transforms war, crime, justice, jobs and society-and, even, our very sense of what it means to be human. More than any other technology, AI has the potential to revolutionize our collective future - and there's nobody better situated to explore that future than Max Tegmark, an MIT professor and co-founder of the Future of Life Institute, whose work has helped mainstream research on how to keep AI beneficial.  In this deeply researched and vitally important new book, Tegmark takes us to the heart of thinking about AI and the human condition, bringing us face to face with the essential questions of our time. How can we grow our prosperity through automation, without leaving people lacking income or purpose? How can we ensure that future AI systems do what we want without crashing, malfunctioning or getting hacked? Should we fear an arms race in lethal autonomous weapons?  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What he proposes is an elegant and fascinating idea: that our physical world not only is described by mathematics, but that it is mathematics. Astoundingly, we may live in a mathematical universe.  Max Tegmark is author or co-author of more than 200 technical papers, twelve of which have been cited more than 500 times. He has featured in dozens of science documentaries, and his work with the SDSS collaboration on galaxy clustering shared the first prize in Science magazine's \"Breakthrough of the Year: 2003\". 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