There are infinitely many real numbers between 0 and 1. Are there twice as many between 0 and 2, or are the two amounts equal?

Question

I know the actual technical answer. I’m looking for a witty parallel that has a low chance of triggering an infinite “why?” procedure in a child.

In: 1335

Answer 1

This goes to the Hotel Paradox. Whichever number of rooms you need to fill can be filled. For every variation or increase in that number it could be x or x +1 or x^2. An infinite is uncountable and any number greater than infinite is still just infinite.

You have number 1 to the number 2. Any valid answer, the closer you get to each end point is also how much farther away you will be. Give the kid a challenge, how many numbers between 1 and 2 can they count to before the end of an hour will get the point across. 1.01, 1.02. 1.03 . . . Etc