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How to think like a mathematician

The Infinite Monkey Cage

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Zeno's Paradoxes - How Did You All Get Here?

Zeno: We can actually even do an infinite number of things in a finite length of time. So this is one of Zeno's paradoxes. How did you all get here? Well, first you had to cover half the distance to get here, and then you had to covered half of the remaining distance with that. And so it sounds like that's an infinite number, but we don't even need to go all the way to infinity because you all did it today. I think sometimes you need to know which things are important so you know which ones you can ignore.

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