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Galileo's paradox

 Home Mathematics History of mathematics Mathematical problems Mathematical paradoxes Paradoxes of infinity
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Galileo's paradox, often referred to in the context of the concepts of infinity and the nature of infinite sets, highlights the counterintuitive properties of infinite sets. It originates from a thought experiment proposed by Galileo Galilei in the early 17th century concerning the comparison of the size of different sets of natural numbers. In the paradox, Galileo pointed out that both the set of all natural numbers (1, 2, 3, ...

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