this post was submitted on 27 Apr 2025
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That article is not comprehensible to most people
I am one of them. I still can't get past the Hotel paradox. To me an infinite number of guests cancels out an infinite number of rooms.
Infinite guests = infinite rooms Infinity + n = infinity To say the bus of unbound guests could just move into infinite rooms seems to give a property of rooms without limit that is not shared with the original infinite guests.
The original premize states the hotel is full. Because the only thing that matches infinite rooms are infinite guests.
Apparently I am very stupid. My sister was right all along.
So, some infinities are bigger than others.
How many numbers are there? An infinite number.
How many even numbers are there? An infinite amount, but half the size of the first infinity.
This is how there are empty rooms in the infinitely large hotel with infinite guests.
Half of infinity is still infinity, but smaller?
Can you hand me that spatula? I need to scrape my brains off the walls.