A Mathematical Joke About Hilbert's Paradox of the Grand Hotel
This social media post references the famous mathematical thought experiment known as Hilbert's Hotel. The paradox illustrates the counterintuitive nature of infinity by describing a fully occupied hotel with an infinite number of rooms. When an infinite number of new guests arrive, the hotel manager can accommodate everyone by moving each existing guest from room 'n' to room '2n', thereby freeing up all the odd-numbered rooms. The post humorously depicts a guest being asked to move from room 21 to room 42 to make space for an infinite busload of new arrivals, highlighting the strange logic of infinite sets.
im lost, although 42 is the right answer, shouldn't he be asked to move to room 22 first?
Captain is here: Hilbert's Hotel. Gives you an intuition about infinities and how one infinity bigger than another. Layers of infinities. You can solve it in multiple ways. Prime number factorization for example.
stupid mental masturbation questions for math people
Fucking nerd…up vote.
Ah yes, the classic infinite rooms and guests conundrum. made much easier if instead of choosing to put all integers as your room numbers i just choose all the numbers between 0 and one. Then I have even more rooms
And there’s me thinking it’s asylum seekers
∞ ≠ ∞
I don't get it.
42 is the answer. What was the question?
I understood that reference