Quote (chone @ May 22 2010 01:43am)

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

Quote (RainyDay @ May 22 2010 09:21am)

I didn't read the whole thread obviously.

Given what you wrote the difference is 0.001 if you want to be critical.
0.999... is a theoretical number.

If you are saying that 0.999... is in fact what I previously wrote, or the total sum of 9/(10^n) as n goes to infinity, then the difference would be the total sum of 1/(10^n) as n goes to infinity. Requires a limit regardless.

If you want to think I'm ignorant, go for it. I dropped out of math analysis because I believed the proofs were bs.

Quote (chone @ May 22 2010 07:40pm)

Proof means everything. I'm sorry that you disagree with this, or that you think "proofs are bs." I guess math maybe isn't your weakness. Go learn some logic.

0.999... is not a theoretical number (whatever that is!). It is a real number. It denotes a real number that is equal to 1, in the exact same manner that .444... denotes a real number that is equal to 4/9.

edit: lol I'm curious: why do you think proofs are bs?

Quote (chone @ May 22 2010 04:40am)

Proof means everything. I'm sorry that you disagree with this, or that you think "proofs are bs." I guess math maybe isn't your weakness. Go learn some logic.

0.999... is not a theoretical number (whatever that is!). It is a real number. It denotes a real number that is equal to 1, in the exact same manner that .444... denotes a real number that is equal to 4/9.

edit: lol I'm curious: why do you think proofs are bs?

Quote (Taxidermy @ May 22 2010 05:44pm)

Does the phrase "mathematically rigorous proof" mean anything to you?

edit : +70

Quote (CPK001 @ May 22 2010 02:44pm)

You should read the first 10 pages and find out why.

Quote (chone @ 22 May 2010 21:08)

Of course.  I'm not retarded.



I looked at the the first few...my brain is bleeding.

Quote (Kahl4Prez @ 22 May 2010 22:02)

first 15 or so pages are the important ones...