Paradoxes and Unproven Conjectures

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These are so fascinating that they've now got their own section.
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3 Paradoxes That Gave Us Calculus
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210
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Aristotle's Wheel Paradox
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195
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Goldbach's Conjecture
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197
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Paradox: the impossible computing problem
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173
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Russell's Paradox
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213
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Zeno's, Cavalieri's Width-Less Lines and Zeno's Arrow Paradoxes
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277
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Riemann Hypothesis
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377
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Cantor's Infinity Paradox in set theory
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357
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Gabriel's Horn Paradox
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432
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Paradox: how to fill up the infinite-room Hilbert Hotel
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487
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Math has a fatal flaw - and it lead directly to the invention of the computer
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