A Conversation for Infinity, and the Infinite Hotel Paradox

Infinite buses with infinite people

Post 1

WeS

Yes, the hotel can accomodate an inifinite number of buses with an infinite number of people, as the total number of people here is infinity * infinity, or infinity squared. Infinity to the power n here n is finite) is still infinity.

Now consider n to the power infinity (where n is finite)! Is this till the same infinity? (Answer: no!)

Isn't pure maths odd!


Infinite buses with infinite people

Post 2

If the universe is infinite, then im "a" center, 21+4^1+8+9=42

hmmmmmm, im a bit confused, because isnt inifinity something that never ends? so n^infinity would never end, cause u would be going:
n*n*n*n*n*n*n*n*n*n*n*n*n*n*n*n... u would never stop going, isnt that classed as infinty?


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