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Paradoxes: Guiding Forces in Mathematical Exploration

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A Riveting Account of Paradoxes and their Impact on Mathematics



Does .999...=1? Can a sphere be reassembled into two identically sized spheres? Is the consistency of mathematical systems unprovable? Surprisingly, the answer to all of these questions is yes! And at the heart of each question, there lies paradox.


For millennia, paradoxes have shaped mathematics and guided mathematical progress. From the ancient paradoxes of Zeno to the modern paradoxes of Russel, paradoxes remind us of the con...