if space is infinite does that mean there are an infinite number of stars?
In: Mathematics
There is really no way to know for certain. First, we don’t know if space is infinite or just really big. Second, you run into locality problems with infinity. We have a ton of stars/galaxies that extend out as far as we can see. We have no reason to think it isnt the same all the way out.
But we also don’t have anything that really proves it is. We could also just be inside a giant, but limited area filled with stars surrounded by infinite nothing. And if space is infinite there is no real way to prove that isn’t the case, because no matter how far you travel, there is still an infinite distance left to go.
*Note, science doesn’t do inability to disprove as support of concept. My scenario of a clump of stars surrounded by infinite nothing is unsupportable scientifically because it can’t be tested and can’t be proven.
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