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In our last episodes, we explored the mathematics of ancient Greece,

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Zeno's paradoxes, Eudoxus' method of exhaustion, and Archimedes' extraordinary calculations.

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After Archimedes' death in 212 BC, mathematics entered a long period of relative dormancy.

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Welcome back to Men of Mathematics. Today we leap forward nearly 2,000 years to the birth of

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modern mathematics.

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René Descartes didn't just philosophize, he invented a way to turn geometry into algebra

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and algebra into geometry.