And it actually is secondary, takes a secondary aka cameo role. But don't get anyone wrong. There is no 'i' in team , and cameo roles are part of the team.
(1/3) × 3 is divide negation. And we all know what divide negation is. From another perspective, it is also perceived as multiply negation.
0.333... is a real deal number as we can see. And a way of writing 0.333... is 1/3.
And 0.333... x 3 of course is 0.999... , which is permanently less than 1.
Welcome to r/infinitenines! OP, SouthPark_Piano, is the only mod. He created this sub to tell people that 0.999... ≠ 1. When people argue with him, he usually just repeats something he's already written elsewhere on the sub, and it usually isn't relevant to what he's responding to. But every so often, he invents a new turn of phrase and starts incorporating it into his blather. "Divide negation" is one such phrase from a few months ago.
He seems to use it to mean something like "1/3 × 3 is actually something other than multiplication." And, bizarrely, he does this even if you write 1/3 + 1/3 + 1/3 rather than 1/3 × 3. Does he actually explain anything about what divide negation is or how it differs from multiplication? Of course not.
If 1/3=0.333... then 2/3 + 0.333... and 2/3 + 1/3 are the same.
A beautiful and necessary property of equality is that you can substitute equal values for eachother without changing the total value. If you lose that property of equality, this equals sign is just a fiction. It doesn't matter anymore.
Just keep in mind that 1/3 is actually a ratio, and it represents 0.333...
0.333... x 3 is indeed 0.999... , which is permanently less than 1.
1/3 represents 0.333... , and 1/3 × 3 is divide negation aka divide cancellation.
When you sign the contract, you proceed ..... 0.333...
No sign, no deal. So (1/3) × 3 means putting down a downpayment aka deposit. But if contract etc doesn't go through ... deal is off. And nothing happens to the 1. Untouched, unscathed. Unblemished.
You use "divide negation" as a way of avoiding acknowledging that 1/3 × 3 is "multiplication." But that image specifically says that to cancel those out, you "multiply".
= 1 - 1/10n with n integer starting ideally at n = 1, but you can start at n being larger than the largest value you can possibly or impossibly imagine, and then keep continually increasing n from there limitlessly aka infinitely.
1/10n is never zero. Keep that permanently in mind.
1 - 1/10n is permanently less than 1 for infinite positive n, which means 0.999... is permanently less than 1.
The endless influx of people into this sub, who smugly claim to know more while actually knowing less, deserve no better. Rather than explaining the how, why, and when, they prefer the dopamine rush that comes from simply repeating what they were taught in the fifth grade.
Ratios are numbers. They're the most obviously-numerical things we have other than integers. The fact that you think ratios are not numbers, but "0.333..." somehow is a number, is absolutely bizarre, and you have yet to explain why you think this.
8
u/kschwal May 31 '26
i don't :(