Quote (RainyDay @ May 22 2010 07:49am)
Would I satisfy your idiocy if I said the limit of the total sum of 9/(10^n) as n approaches infinity converges to/approaches 1?
Better? Forgive me if my previous terminology has been incorrect to your understanding of things.
The difference is not 0. Any idiot on the street can see they are not equal.
Wow.
Your previous terminology wasn't incorrect because of "my understanding of things." Your terminology was incorrect because it's just mathematically wrong. So basically, you don't understand the math we're talking about. Kinda sad because it's really elementary.
Okay, there's a difference between a SEQUENCE and a NUMBER. This isn't *my* understanding of things. This is goddamn mathematics. Your statement about that sequence is correct. BUT I'M NOT TALKING ABOUT THAT SEQUENCE. I'm not talking about ANY sequence. [Technically the number is a sequence, but in the same manner that .124 is also a sequence: 1/10 + 2/200 + 4/1000. One is infinite, the other is finite. It is trivial in this manner to differentiate the two; in your case, it is not trivial since you started to ignorantly throw around the word 'converge.']
I'm talking about a number. That number is 0.999...
In math, credentials are meaningless - as is intuition (see the Banach-Tarski paradox, which is actually a theorem). PROOF IS EVERYTHING. The fact of the matter is that there are many *different* ways to PROVE that 0.999... equals 1. To disagree with this is just absurd. It's like disagreeing that there are infinitely many primes just because you don't think there are. Or it's like disagreeing with the fact that the product of compact spaces is compact just because you don't think it is. You are wrong.
Seriously though, answer my fucking question: You say the difference is not 0. Then what is the difference between 0.999... and 1? And remember that 0.000...1 is not a real number.
EDIT: +9000
This post was edited by chone on May 22 2010 02:43am