Describe a problem you've solved or a problem you'd like to solve. it can be an intellectual challenge, a research query, an ethical dilemma-anything that is of personal importance, no matter the scale. explain its significance to you and what steps you took or could be taken to identify a solution.

Hilbert´s Hotel (by David Hilbert)

Explanation:

Imagine you are a foreign tourist that has just arrived to a town. In that town theres the Hilbert´s Hotel, internationally recognized for being the only hotel with infinite rooms. When you arrive to the lobby, you ask the manager to give you a room:

What would you do? You really need that room to spend the night...

NOTES: All the rooms are listed from one to infinity and only 1 person is able to stay per room.

SOLUTION

EXTENSION OF THE PROBLEM

What would you do if two infinite groups of tourist´s arrives? How would you place them in the Hilbert hotel?

(hint: pair numbers are also infinite)

Significance of the problem

This particular problem is very interesting to me because it forces me to think out of the box something not only amusing but necessary to sort out day to day events.

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