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The idea of infinity stands at the intersection of mathematics and philosophy. As da Vinci said, "Arithmetic is a computational science in its calculations, but it is of no avail in dealing with continuous quantity." The way we think about infinity shapes the way we think about other subjects. The author says, "My heart fluttered the first time I heard the paradoxical claim of a 19th-century mathematician who said infinity was real, that there was more than one type of infinity, and that not all infinities were the same size! It was either one of the most absurd or one of the most important theories in intellectual history." The chapters that follow investigate the issue from a variety of perspectives. This book focuses mainly on the philosophy of infinity; it does not require an extensive understanding of mathematics, although relevant terms and concepts are introduced and explained.