Science Memes

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submitted 9 months ago by [email protected] to c/[email protected]

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[–] [email protected] 1 points 9 months ago (1 children)

Given infinite track, the reals could have enough space between them to avoid collapsing too

[–] [email protected] 1 points 9 months ago (1 children)

No. In any interval of the real numbers there's an uncountable infinity of real numbers. No matter how much you stretch the track any neighborhood, no matter how small, will need an infinite number of people in it.

[–] [email protected] 1 points 9 months ago (1 children)

There being a person for every real number doesn't mean there's a person at every real point on the track. If it did, then there would be people inside of each other, and we can visually see that the people are laid down next to one another.

[–] [email protected] 1 points 9 months ago

No. If you put them in order one after another you are not talking about the real numbers. There is no "next" real number and no possible way to visit them all one at a time like with the rationals.