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F
fresh_42
replied to the thread
0.999...
.
There is another possibility, points in between: 2013000\ldots 000:=20,130, \ldots,000, 000 =2.013\cdot 10^{16} but you have to write...
3 minutes ago
Steven G
replied to the thread
0.999...
.
Any positive number times infinity is infinity. \overline 9 is a positive number.
6 minutes ago
A
Agent Smith
replied to the thread
0.999...
.
The dots represent nonzero digits and continue on forever in the direction the ellipsis appears. So 2013... is a number whose initial...
6 minutes ago
A
Agent Smith
reacted to
fresh_42's post
in the thread
0.999...
with
Like
.
Well, that is the problem! What are those dots? In 0.999\ldots they represent repeating nines, in 3.141592653589793238462 \ldots...
10 minutes ago
F
fresh_42
replied to the thread
0.999...
.
Well, that is the problem! What are those dots? In 0.999\ldots they represent repeating nines, in 3.141592653589793238462 \ldots...
14 minutes ago
A
Agent Smith
replied to the thread
0.999...
.
I ask because for an irrational number like \pi = 3.14159..., I could say that if s = \text{the numerical string that is the decimal...
16 minutes ago
A
Agent Smith
replied to the thread
0.999...
.
No, the dots are not 0's
20 minutes ago
A
Agent Smith
reacted to
fresh_42's post
in the thread
0.999...
with
Like
.
Not if the dots at the beginning represent zeros. Then it is simply 2013.
20 minutes ago
A
Agent Smith
replied to the thread
0.999...
.
Thank you. So 3.14159... is ok but 2013... and ...2013 are not! For the reason that it implies I know something that I possibly can't...
20 minutes ago
F
fresh_42
replied to the thread
0.999...
.
Not if the dots at the beginning represent zeros. Then it is simply 2013.
22 minutes ago
A
Agent Smith
replied to the thread
0.999...
.
Because ... that would mean I know the leading digits of \infty? 🤔
24 minutes ago
A
Agent Smith
reacted to
blamocur's post
in the thread
0.999...
with
Like
.
It's not.
25 minutes ago
blamocur
replied to the thread
0.999...
.
It's not.
27 minutes ago
A
Agent Smith
replied to the thread
0.999...
.
Haha. So 2013... = \infty? Gracias. Also is 2013... = \infty? Is ...2013 = \infty?
28 minutes ago
A
Agent Smith
reacted to
fresh_42's post
in the thread
0.999...
with
Like
.
Infinity cannot be treated like a number. If you want to have a calculus that deals with infinity as a separate admissible object, then...
28 minutes ago
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