/sci/ - You guys seriously think that 0.999... = 1?

Name: Anonymous 2009-02-16 21:11

I mean fuck I'm just a history major and even i can see that they are two separate things.

Name: Anonymous 2009-02-16 21:59

No they are not.

Name: Anonymous 2009-02-17 0:42

>>3
nice proof you have there
oh that's right, you don't have proof, you're just repeating 2nd hand information. rofl, what a nerd

Name: Anonymous 2009-02-17 12:39

>>1
>>4

1/10

Name: Anonymous 2009-02-17 18:50

Objectively, no, it's not.

Subjectively, yes. It's so close to 1 that it might as well be considered to be 1.

Now shut the hell up, all of you.

Name: Anonymous 2009-02-17 19:20

>>6

This guys speaks the truth.

Name: Anonymous 2009-02-17 20:55

Subjectively, yes. It's so close to 1 that it might as well be considered to be 1.

Wrong. It really is exactly equal to 1.

.9999... = 1

just like

1/2 = .5

Name: Anonymous 2009-02-17 20:57

aww goddammit! nice trollin' >>6 and >>7

Name: Anonymous 2009-02-17 22:16

>>10
I guess so.

Name: Anonymous 2009-02-17 22:26

if it continues indefinitely, then yes, it is equivalent to 1.
proof:
1/3 = 0.333...
*3 *3
1 = 0.999...

Name: Anonymous 2009-02-18 0:51

by your logic, does that mean that 2.999... = 3?
It's two different numbers clearly

Name: Anonymous 2009-02-18 2:25

>>13
no, not clearly.
they are essentially the same if there exist an infinite number of .9s after the decimal.
it is infinitesimally smaller than the next whole number, perhaps. but an object of infinitesimal size can for all practical purposes be treated as of 0 size, and that's all that matters in the end.

Name: Anonymous 2009-02-18 9:32

If you're a history major (or an engineer) see this thread for a "proof".

http://dis.4chan.org/read/sci/1234422866/1-

Name: Anonymous 2009-02-18 14:00

hey /sci/
don't you ever get tired of being trolled by this kind of threads?

Name: Anonymous 2009-02-18 16:50

>>16
Yes.

Name: 4tran 2009-02-18 23:50

>>16
Yes

Name: Anonymous 2009-02-19 18:31

x = 0.999...
10x = 9.999...
10x - x = 9x = 9
x = 1

But x =/= 0.999...
Therefore, by contradiction, 0.999... =/= 1

Name: Anonymous 2009-02-19 19:56

>>19

I actually lol'd pretty hard at that. Well trolled, sir.

Name: Anonymous 2009-03-01 17:43

>>19
You lost me
What did you do here:
10x = 9.999...
10x - x = 9x = 9
x = 1

Name: Anonymous 2009-03-01 17:49

>>21

He subtracted 0.999... from 9.999... giving 9.0. Proof is correct until the last two lines.

When x = 0.999... gives you x = 1, options are either that 0.999... = 1 or that left is right and right is left. Correct option is the former.

Name: Anonymous 2009-03-01 17:58

>>22
B-But that's so stupid!

Name: Anonymous 2009-03-01 18:03

Nah, bro. It's SCIENCE...er...MATH.

Name: Anonymous 2009-03-01 18:06

fuck x=0.9999.... 10x=9.9999....
10x-x = 9
9x=9
x=1
.999....=1

Name: Anonymous 2009-03-01 18:58

It's a simple summation problem, you fucking idiotic naysayers.

1/(x-1) = sum(1/x,x,1,inf)

Name: Anonymous 2009-03-01 19:31

If 0.999... < 1, then 0 < 1 - 0.999... and by the Archimedean property a natural number n exists such that 1/n < 1 - 0.999...

Find n.

Name: Anonymous 2009-03-01 19:45

>>27
n > 9000

Name: Anonymous 2009-03-01 22:14

>>27

define ƛ as (1 - 0.999)^sup]-1[/sup]

there you go.

Name: Anonymous 2009-03-01 22:16

>>29
define ƛ as (1 - 0.999)^-1

ok now

Name: Anonymous 2009-03-01 22:17

FFFFFFFFFFFFFFFFFFFF

define ƛ as (1 - 0.999)^{^-1}

Name: Anonymous 2009-03-01 22:51

>>31

fail

1/ƛ = 1 - .999..

And how can you prove that ƛ is a natural number?

Name: Anonymous 2009-03-02 1:01

>>32
I can't, because it's not a natural number, nor an irrational, complex, etc.
It's a Lambda Number, a new realm of numbers, one of which is ƛ^{^-1}.
Others include 2ƛ^{^-1}, 2/(3ƛ^{^-1}).

Name: Anonymous 2009-03-02 1:05

>>33
Oh also,
one of it's properties is that ƛ > ∞.
In fact ƛ = ∞ + 1.

Name: Anonymous 2009-03-02 17:16

>>34
>>27
a natural number n exists...

then you still fail if only at reading comprehension :)

Name: Anonymous 2009-03-02 19:12

>>26

Allow me to restate. Goddamn errors:

1/(x-1) = sum(1/x^n,n,1,inf)

Name: Anonymous 2009-03-02 20:46

Do not feed the trolls, damn it.

l2geometricseries or gtfo

Name: Anonymous 2009-03-03 6:15

Pi equals exactly 3

Name: Anonymous 2009-03-03 7:23

>>38
Only for large values of 1

Name: Anonymous 2009-03-03 10:57

>>35
by the Archimedean property a natural number n exists
Archimedean properties are bullshit.

>>39
Only for large values of 1
How large can 1 be?

You guys seriously think that 0.999... = 1?

1 Name: Anonymous 2009-02-16 21:11

2 Name: Anonymous 2009-02-16 21:59

4 Name: Anonymous 2009-02-17 0:42

5 Name: Anonymous 2009-02-17 12:39

6 Name: Anonymous 2009-02-17 18:50

7 Name: Anonymous 2009-02-17 19:20

8 Name: Anonymous 2009-02-17 20:55

9 Name: Anonymous 2009-02-17 20:57

11 Name: Anonymous 2009-02-17 22:16

12 Name: Anonymous 2009-02-17 22:26

13 Name: Anonymous 2009-02-18 0:51

14 Name: Anonymous 2009-02-18 2:25

15 Name: Anonymous 2009-02-18 9:32

16 Name: Anonymous 2009-02-18 14:00

17 Name: Anonymous 2009-02-18 16:50

18 Name: 4tran 2009-02-18 23:50

19 Name: Anonymous 2009-02-19 18:31

20 Name: Anonymous 2009-02-19 19:56

21 Name: Anonymous 2009-03-01 17:43

22 Name: Anonymous 2009-03-01 17:49

23 Name: Anonymous 2009-03-01 17:58

24 Name: Anonymous 2009-03-01 18:03

25 Name: Anonymous 2009-03-01 18:06

26 Name: Anonymous 2009-03-01 18:58

27 Name: Anonymous 2009-03-01 19:31

28 Name: Anonymous 2009-03-01 19:45

29 Name: Anonymous 2009-03-01 22:14

30 Name: Anonymous 2009-03-01 22:16

31 Name: Anonymous 2009-03-01 22:17

32 Name: Anonymous 2009-03-01 22:51

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35 Name: Anonymous 2009-03-02 17:16

36 Name: Anonymous 2009-03-02 19:12

37 Name: Anonymous 2009-03-02 20:46

38 Name: Anonymous 2009-03-03 6:15

39 Name: Anonymous 2009-03-03 7:23

40 Name: Anonymous 2009-03-03 10:57