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About numbers, episode 4 : infinite numbers

« Eternity is really long, especially near the end. » Woody Allen (1935 - )
What is infinity ? How to grasp such a concept, by definition so immense that nothing can contain it ?
As surprising as it may seem, the answer lies not in philosophy, but really in mathematics.
We will see that it is possible to define infinity in a rigorous and coherent manner. There even exists numerous different infinities : precisely an infinity of them !

Cet article About numbers, Episode 4 : Infinite Numbers est apparu en premier sur Nature loves math.



This post first appeared on Nature Loves Math, please read the originial post: here

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