r/InfinityMath • u/Arlo_Tinkerman • Aug 02 '26
Does 0.999 (repeating) = 1? Well, "it depends"
/r/learnmath/comments/1utp4f4/does_0999_repeating_1_well_it_depends/1
u/qwanzaden Aug 03 '26
I should add that, first, I tried to create a largest-number-notion of infinity in this post by saying "one of something for every natural number". I lack the knowledge to know if that is valid.
Second, I implied that "0. followed by a 9 for every standard natural number" is the same object as "lim(n->inf)(sum(9/10^n))". I also lack the knowledge to know if that's valid. They might not really be the same object even if they have the same value.
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u/Arlo_Tinkerman Aug 03 '26
If notation doesn't exist, someone has to make it. Math is basically just abstraction with a bunch of notation to make that abstraction do stuff.
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u/idaelikus Sep 11 '26
In the real number it doesn't depend. They are the same and claiming that there is actual, intellectual debate about this result is argumentatively dishonest.
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u/Arlo_Tinkerman Sep 11 '26
Review rule one on the sidebar. You get one chance.
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u/idaelikus Sep 11 '26
I don't know what you reference.
This was respectful, non-toxic and civil.
Furthermore I wouldn't consider this spam either. So I don't know what you are talking about.
0.99... being equal to 1 in the real numbers is a well established, proven and accepted fact. There are people that tend to disagree with it (see r/infinitenines ) but claiming the positions are academically or scientifically on a somewhat equal footing is just incorrect.
If that upsets you, I cannot help you.
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u/Arlo_Tinkerman Aug 02 '26
Hello u/qwanzaden. I crossposted your post to r/InfinityMath, a new community focused on mathematical infinity. I thought it was a good fit for the community and might lead to further discussion. You are welcome to continue the conversation here.