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I just cited myself.
(mander.xyz)
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this post was submitted on 27 Jun 2024
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the problem is it makes my brain hurt
honestly that seems to be the only argument from the people who say it's not equal. at least you're honest about it.
by the way I'm not a mathematically adept person. I'm interested in math but i only understand the simpler things. which is fine. but i don't go around arguing with people about advanced mathematics because I personally don't get it.
the only reason I'm very confident about this issue is that you can see it's equal with middle- or high-school level math, and that's somehow still too much for people who are too confident about there being a magical, infinitely small number between 0.999... and 1.
to be clear I'm not arguing against you or disagreeing the fraction thing demonstrates what you're saying. It just really bothers me when I think about it like my brain will not accept it even though it's right in front of me it's almost like a physical sensation. I think that's what cognitive dissonance is. Fortunately in the real world this has literally never come up so I don't have to engage with it.
no, i know and understand what you mean. as i said in my original comment; it's not intuitive. but if everything in life were intuitive there wouldn't be mind blowing discoveries and revelations... and what kind of sad life is that?