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EDIT: I THINK I STAND CORRECTED (lemmy.zip)

submitted 10 months ago* (last edited 10 months ago) by [email protected] to c/[email protected]

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I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!

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[–] [email protected] 1 points 10 months ago (1 children)

But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.

Um no? 3/4 + 5/6 > 1

If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity

[–] [email protected] 2 points 10 months ago* (last edited 10 months ago)

I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn't be rational numbers, they would be real numbers.

That aside, I see now that the original idea behind the meme was mistaken.