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That situation could be applied in a more mathematical way. That's not realistic.

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It's not supposed to be realistic. It's just a paradox, something for mathematicians to think about. The maths book gives the question because it wants the reader to stop and think for a while about it. Although I suppose it can be expressed more mathematically.

Consider a function f:N->N where the domain and codomain are the natural numbers, and each element in the domain is mapped to itself in the codomain. Is there a way to map the infinite elements of each of a group of infinite sets to the elements in the codomain, in addition to mapping those in the original domain, in a 1-1 manner?

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What's the point of puzzles if they realistically make no sense on a deeper level?

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The point is to think about them, and improve yourself figuring them out. At least, that was my goal in solving that puzzle. I'm a better thinker for it. Although, according to the Wikipedia page, the point of the paradox was "to illustrate certain counterintuitive properties of infinite sets." Namely, that even all of infinity was filled, you could still fit in another element, or you could fit in infinite new elements, or you could even add infinite groups of infinite elements, and mathematically it would actually work (with empty elements left over!).

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That's not even a puzzle. That's a mathematical system problem with fluff all around it.

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Darn it, it's just something to think about and solve! It doesn't have to have a deeper philosophical meaning or be something you can do in the real world!

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Then they should remove the fluff!!

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What fluff? It's easier to think about if it's expressed in real life terms. The mathematical expression I gave is too confusing and doesn't impart the true nature of the paradox.

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But it does. The entire situation could be abbreviated into a few math terms.

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Maybe it does to you. But if I had received the paradox like that, it would have taken me considerably longer to figure it out. However, the idea that there's a hotel with an infinite number of rooms and all of them are filled is much easier to chew on than a function is, at least once you get into trying to add people to the hotel in infinite quantities.

How on earth do you all rp in this?

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The question makes no sense to me as a hotel question.

How on earth do you all rp in this?

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How do you mean?

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Well, some people understand things more easily with different ways. The hotel analogy makes it easier for me; the mathematical expression makes it easier for you.

<Snipped quote by User>

Mutual friendship, trust, understanding, etc.

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Raw math for the win.

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I suppose. But sometimes I like analogies better.

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I like them in English and logic.

Run, they are insane in how they rp. They got rid of a GM by force over his religious belifes