- cross-posted to:
- memes@lemmy.world
- cross-posted to:
- memes@lemmy.world
I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
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.