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UnhingedCringeLord t1_j296nfc wrote

Hmm...the OP didn't specify which type of number he's referring to. If any kind of number goes, I would say that there are more numbers from 0 to infinity as those numbers would also contain fractional numbers. Or maybe I'm just dumb...in that case, ignore my opinion lol

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M8dude t1_j299cw4 wrote

you're not dumb, it's just counterintuitive.

any number x between 0 and infinity can be paired with a unique number 1/(1+x), which is between 0 and 1.

any number y between 0 and 1 can be paired with a unique number (1/y)-1, which is between 0 and infinity.

there are no exceptions, so none of the two sets of numbers have 'more' numbers in them.

Talking about the 'size' of these sets of numbers is a whole different story.

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