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ok, hear me out

Anonymous Mon 28 Mar 23:48:54 2022 No.14345307 View Reply Original Report

Quoted By: >>14345310 >>14345405 >>14345409 >>14345414 >>14345609 >>14345729 >>14347081 >>14347098 >>14347230 >>14348152 >>14349048 >>14349569 >>14349605 >>14349707

there's no number between .999... and 1, so .999...=1.
but there also isn't any number between .999... and .888..., so .888...=.999...
repeat the process with other numbers and you'll see that any number is equal to any number.
there, I broke math

Anonymous

Anonymous Mon 28 Mar 2022 23:49:59 No.14345310 Report

Quoted By: >>14349605

>>14345307
Incredible. The motherfucker actually did it. Someone let Dr Thomas Math know, so we can finally end this whole facade.

Anonymous

Anonymous Mon 28 Mar 2022 23:54:19 No.14345322 Report

Quoted By: >>14345325 >>14347081 >>14349605

>but there also isn't any number between .999... and .888...,
What about .89?

Anonymous

Anonymous Mon 28 Mar 2022 23:55:10 No.14345325 Report

Quoted By: >>14345381 >>14345384 >>14347219 >>14347224 >>14349605 >>14349709

>>14345322
But that's equal to 0.888... for the above reasons.

Anonymous

Anonymous Tue 29 Mar 2022 00:16:18 No.14345381 Report

Quoted By: >>14345384 >>14349605

>>14345325
What about .889?

Anonymous

Anonymous Tue 29 Mar 2022 00:17:04 No.14345384 Report

Quoted By:

>>14345381
See >>14345325

Anonymous

Anonymous Tue 29 Mar 2022 00:18:50 No.14345391 Report

Quoted By: >>14345565 >>14345570

There is an infinite amount of numbers between 9 and 10. And .999... != 1, they have different properties.

Anonymous

Anonymous Tue 29 Mar 2022 00:22:15 No.14345401 Report

Quoted By: >>14349605

1-1=0
1-.999...=1/?

Anonymous

Anonymous Tue 29 Mar 2022 00:24:56 No.14345405 Report

Quoted By:

>>14345307
there is 0.999½ tho

Anonymous

Anonymous Tue 29 Mar 2022 00:26:22 No.14345409 Report

Quoted By: >>14349605

>>14345307
Incredible. The motherfucker actually did it. Someone let Dr Thomas Math know, so we can finally end this whole facade.

Anonymous

Anonymous Tue 29 Mar 2022 00:28:30 No.14345414 Report

Quoted By: >>14349605

>>14345307
.9999

Anonymous

Anonymous Tue 29 Mar 2022 02:23:14 No.14345565 Report

Quoted By: >>14345571 >>14345629 >>14349605

>>14345391
There is no difference between .999.... and 1. Literally.

Anonymous

Anonymous Tue 29 Mar 2022 02:27:36 No.14345570 Report

Quoted By: >>14345704 >>14349605

>>14345391
$ 1 = \dfrac{3}{3} = 3 \cdot \dfrac{1}{3} = 3 \cdot 0.\bar{3} = 0.\bar{9} $

Anonymous

Anonymous Tue 29 Mar 2022 02:28:31 No.14345571 Report

Quoted By: >>14349605

>>14345565
its literrally 0.000.... shorter tho.. Figuretavely

Anonymous

Anonymous Tue 29 Mar 2022 02:54:50 No.14345609 Report

Quoted By: >>14349605

>>14345307
>but there also isn't any number between .999... and .888..
0.9 is between these numbers. so is 0.91. so is 0.89.

Anonymous

Anonymous Tue 29 Mar 2022 03:04:22 No.14345629 Report

Quoted By: >>14345673 >>14345707 >>14349605

>>14345565
There are infinitely many numbers between 0.999... and 1. For example, 0.9999... and 0.999999...

Anonymous

Anonymous Tue 29 Mar 2022 03:35:05 No.14345673 Report

Quoted By: >>14345680 >>14349605

>>14345629
those are all the same number though

Anonymous

Anonymous Tue 29 Mar 2022 03:37:34 No.14345680 Report

Quoted By: >>14345734 >>14349605

>>14345673
how is 0.99.. same as 1

Anonymous

Anonymous Tue 29 Mar 2022 03:56:50 No.14345704 Report

Quoted By: >>14346978 >>14349605 >>14349697

>>14345570
3*1/3 isn't equal to 3 * 0.333... because of rounding errors.
you're comparing the mathematical perfect 1/3rd to a decimal approximation of itself.
doesn't work.
I hope this helps you.

Anonymous

Anonymous Tue 29 Mar 2022 04:02:44 No.14345707 Report

Quoted By: >>14349605

>>14345629
This, Different values in a smaller metric of a singular metric. Brainlets are frying their brain with mental gymnastics kek

Anonymous

Anonymous Tue 29 Mar 2022 04:04:51 No.14345710 Report

Quoted By: >>14345727 >>14345730 >>14345732 >>14345739 >>14349605

Hijacking this thread, can someone without memeing give me some real world examples of where the whole 0.9999... = 1 thing would be catastrophic?
Like are there any sort of engine maps on a jet plane that could be fucked if you treated 0.999... as 1, are there any bridges where that infinitesimal difference can cause a catastrophic miscalculation in the loads and cause collapse?
Or is it for all human-scale applications is it negligible?

Anonymous

Anonymous Tue 29 Mar 2022 04:13:05 No.14345727 Report

Quoted By: >>14345731 >>14345739 >>14349605

>>14345710
i just want to figure out how the first digit of 0 in 0.9999999999999999999999999999999.. can become 1 without magic

Anonymous

Anonymous Tue 29 Mar 2022 04:13:43 No.14345729 Report

Quoted By: >>14349605

>>14345307
Ever hear of 0.9?

Anonymous

Anonymous Tue 29 Mar 2022 04:14:15 No.14345730 Report

Quoted By: >>14348164 >>14349605

>>14345710
if you cut off the decimal at any point it stops being one, and since our technology cant measure infinite precision any .999 we actually measure is not 1. As for whether it would be bad or not idk, rounding errors are usually pretty well kept track of

Anonymous

Anonymous Tue 29 Mar 2022 04:14:16 No.14345731 Report

Quoted By: >>14345735 >>14349605

>>14345727
use the definition of "0.999..." :)

Anonymous

Anonymous Tue 29 Mar 2022 04:14:34 No.14345732 Report

Quoted By: >>14348164 >>14349605

>>14345710
buddy, there's things called tolerances in the real world that would already dwarf it by multiple orders of magnitude.
also .9999 isn't 1.
what a dumb r*ddit stoner pseudo intellectual thread for retards.

Anonymous

Anonymous Tue 29 Mar 2022 04:15:17 No.14345734 Report

Quoted By: >>14345737 >>14349605

>>14345680
did you really not learn about geometric series in high school

Anonymous

Anonymous Tue 29 Mar 2022 04:15:29 No.14345735 Report

Quoted By: >>14345741 >>14349605

>>14345731
i know but got to make things clear

Anonymous

Anonymous Tue 29 Mar 2022 04:16:48 No.14345737 Report

Quoted By: >>14345744 >>14349605

>>14345734
y 4 or 2 triangle make 1 square

Anonymous

Anonymous Tue 29 Mar 2022 04:16:52 No.14345739 Report

Quoted By: >>14345744 >>14345748 >>14348164 >>14349605

>>14345727
infinity is magic, don't use it if you're bothered.
>>14345710
No applications care about anything past the 10th or so digit at best, in most applications pi is literally equivalent, for all intents, equal to 3

Anonymous

Anonymous Tue 29 Mar 2022 04:17:09 No.14345741 Report

Quoted By: >>14345742 >>14349605

>>14345735
>i know
do you? are you sure?

Anonymous

Anonymous Tue 29 Mar 2022 04:17:52 No.14345742 Report

Quoted By: >>14349605

>>14345741
positive, shit on me im bored

Anonymous

Anonymous Tue 29 Mar 2022 04:18:53 No.14345744 Report

Quoted By: >>14345766 >>14349605

>>14345737
no
>>14345739
>applications pi is literally equivalent, for all intents, equal to 3
thats fucking rediculous. there's no reason to lie, anon. surely you can imagine some real world engineering processes that require more precision than 1 part in 30.

Anonymous

Anonymous Tue 29 Mar 2022 04:22:27 No.14345748 Report

Quoted By: >>14345751 >>14349605

>>14345739
I want to know how 1/3 can become 2/6 without magic. How does the 1 become a 2 and don't try to change the fraction to look like the other that's cheating

Anonymous

Anonymous Tue 29 Mar 2022 04:25:14 No.14345751 Report

Quoted By: >>14345759 >>14349605

>>14345748
1/3 and 2/6 are not the same but has the same area

Anonymous

Anonymous Tue 29 Mar 2022 04:34:08 No.14345759 Report

Quoted By: >>14349605

>>14345751
No because different numbers so not same area. The 2 is wider than the 1 so must be more

Anonymous

View Same Google iqdb SauceNAO yes2.jpg, 19KiB, 544x305

Anonymous Tue 29 Mar 2022 04:37:43 No.14345766 Report

Quoted By: >>14349605

>>14345744
y PROOF

Anonymous

Anonymous Tue 29 Mar 2022 17:53:11 No.14346978 Report

Quoted By: >>14349605

>>14345704
get help

Anonymous

Anonymous Tue 29 Mar 2022 18:39:32 No.14347081 Report

Quoted By: >>14349605

>>14345307
retard
>>14345322
correct

.888... < .89 < .999...

Anonymous

Anonymous Tue 29 Mar 2022 18:48:44 No.14347098 Report

Quoted By: >>14349605

>>14345307
This means there can be only one number? Holy shit the consequences would be profound

Anonymous

Anonymous Tue 29 Mar 2022 19:42:50 No.14347219 Report

Quoted By: >>14349605

>>14345325
You cannot use the conclusion of your argument as a step in its justification, you know.

Anonymous

Anonymous Tue 29 Mar 2022 19:45:26 No.14347224 Report

Quoted By: >>14349605

>>14345325
No kmai

Anonymous

Anonymous Tue 29 Mar 2022 19:46:39 No.14347227 Report

Quoted By: >>14349605

Incredible. The motherfucker actually did it. Someone let Dr Thomas Math know, so we can finally end this whole facade.

Anonymous

Anonymous Tue 29 Mar 2022 19:48:10 No.14347230 Report

Quoted By: >>14349605

>>14345307
>112312314235366899.jpg
>899.jpg
you went too far anon

Anonymous

Anonymous Wed 30 Mar 2022 03:03:18 No.14348152 Report

Quoted By: >>14349605

>>14345307
>but there also isn't any number between .999... and .888..., so .888...=.999...
0.9876543210-1-2-3-4....
there, I saved math.

Anonymous

Anonymous Wed 30 Mar 2022 03:10:00 No.14348164 Report

Quoted By: >>14349605

Thank you anons, you've answered my question.
>>14345739
>No applications care about anything past the 10th or so digit at best,
>>14345730
>As for whether it would be bad or not idk, rounding errors are usually pretty well kept track of
>>14345732
>buddy, there's things called tolerances in the real world that would already dwarf it by multiple orders of magnitude.

Anonymous

Anonymous Wed 30 Mar 2022 13:52:34 No.14349048 Report

Quoted By: >>14349072 >>14349605

>>14345307
0.999... = 1
0.888... = 0.8888
>can't name a number between these two

Shit bait. I rate it 0.95 stars.

Anonymous

Anonymous Wed 30 Mar 2022 13:56:05 No.14349056 Report

Quoted By: >>14349605

0.95 is between 0.888.. and 1

Anonymous

Anonymous Wed 30 Mar 2022 14:03:10 No.14349072 Report

Quoted By: >>14349595 >>14349605

>>14349048
>0.999... = 1
1 / (1 - x) = x
x = 0.999...
x != 1

Anonymous

Anonymous Wed 30 Mar 2022 17:23:35 No.14349569 Report

Quoted By: >>14349605

>>14345307
>there's no number between .999... and 1
citation needed on that one.

Anonymous

Anonymous Wed 30 Mar 2022 17:33:24 No.14349595 Report

Quoted By: >>14349605

>>14349072
>1 / (1 - x) = x
not true. no idea where you got this.

Anonymous

Anonymous Wed 30 Mar 2022 17:37:49 No.14349605 Report

Quoted By: >>14349614

>>14345307
>>14345310
>>14345322
>>14345325
>>14345381
>>14345401
>>14345409
>>14345414
>>14345565
>>14345570
>>14345571
>>14345609
>>14345629
>>14345673
>>14345680
>>14345704
>>14345707
>>14345710
>>14345727
>>14345729
>>14345730
>>14345731
>>14345732
>>14345734
>>14345735
>>14345737
>>14345739
>>14345741
>>14345742
>>14345744
>>14345748
>>14345751
>>14345759
>>14345766
>>14346978
>>14347081
>>14347098
>>14347219
>>14347224
>>14347227
>>14347230
>>14348152
>>14348164
>>14349048
>>14349056
>>14349072
>>14349569
>>14349595
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1

Anonymous

Anonymous Wed 30 Mar 2022 17:41:52 No.14349614 Report

Quoted By:

>>14349605
Incredible. The motherfucker actually did it. Someone let Dr Thomas Math know, so we can finally end this whole facade.

Anonymous

Anonymous Wed 30 Mar 2022 18:27:11 No.14349697 Report

Quoted By: >>14349708 >>14349716

>>14345704
>decimal approximation
0.3 an approximation. So is 0.33333
But 0.333... is not. It is equal to 1/3

Anonymous

Anonymous Wed 30 Mar 2022 18:32:10 No.14349707 Report

Quoted By: >>14349709

>>14345307
>but there also isn't any number between .999... and .888..., so .888...=.999...
.888 < .89 < .999
QED

Anonymous

Anonymous Wed 30 Mar 2022 18:33:23 No.14349708 Report

Quoted By: >>14349771

>>14349697
>But 0.333... is not. It is equal to 1/3
well 0.333... is just shorthand for "what you'd get if you kept doing the decimal expansion of 1/3 forever"

Anonymous

Anonymous Wed 30 Mar 2022 18:33:33 No.14349709 Report

Quoted By: >>14349726

>>14349707
See >>14345325

Anonymous

Anonymous Wed 30 Mar 2022 18:35:04 No.14349716 Report

Quoted By: >>14349721 >>14349828

>>14349697
its rounded equal, not equal
3/3 = 1
not 0.999....

Anonymous

Anonymous Wed 30 Mar 2022 18:36:53 No.14349721 Report

Quoted By: >>14349752 >>14349769

>>14349716
what is 1-0.999... ?

Anonymous

Anonymous Wed 30 Mar 2022 18:37:55 No.14349726 Report

Quoted By:

>>14349709
0.89 > 0.889 >= 0.888...
QED

Anonymous

Anonymous Wed 30 Mar 2022 18:39:19 No.14349736 Report

Quoted By:

When will you loveless bastards accept that a limit is a thing?

.999... is arbitrarily close to 1, meaning the error can be made so exceedingly low that calculations treating .999... as 1 have negligible error.

Anonymous

Anonymous Wed 30 Mar 2022 18:39:50 No.14349738 Report

Quoted By:

Use & for decimals that come after the … so
0.999…..&00 + 0.000…&10 = 1

Anonymous

Anonymous Wed 30 Mar 2022 18:41:46 No.14349744 Report

Quoted By:

To answer this question you must know infinity.

Anonymous

Anonymous Wed 30 Mar 2022 18:43:36 No.14349752 Report

Quoted By: >>14349760 >>14349777

>>14349721
0.999½ .. for example

Anonymous

Anonymous Wed 30 Mar 2022 18:45:31 No.14349760 Report

Quoted By: >>14349781

>>14349752
Also would like to use this sign out of the way
0.999... ? 1

Anonymous

Anonymous Wed 30 Mar 2022 18:48:24 No.14349769 Report

Quoted By: >>14349881

>>14349721
1-.999... is .000...1

Anonymous

Anonymous Wed 30 Mar 2022 18:48:45 No.14349771 Report

Quoted By:

>>14349708
Yes, which equals ?.

Anonymous

Anonymous Wed 30 Mar 2022 18:50:29 No.14349777 Report

Quoted By: >>14349779

>>14349752
.9 does not equal 1/2. Also a number cannot be both less than and equal to something. It has a finite value.

Anonymous

Anonymous Wed 30 Mar 2022 18:52:30 No.14349779 Report

Quoted By: >>14349783

>>14349777
You dont calculate infinity therefore if your conclusion is that 0.999..= x
when 0.999.. is inifinite
and x is definitive
is wrong
Therefore 0.999... ? 1

Anonymous

Anonymous Wed 30 Mar 2022 18:53:15 No.14349781 Report

Quoted By:

>>14349760
It depends on how you are treating the number. Are you assuming that you will let .999... expand FOR INFINITY? Then you can say .999... = 1. If you are a sane and realistic person you can say that .999... is less than 1 because infinity does not exist in nature.

Anonymous

Anonymous Wed 30 Mar 2022 18:54:41 No.14349783 Report

Quoted By: >>14349787

>>14349779
If YOU are saying that .999...=1, which is what that symbol says, YOU are saying it is definitive.

Anonymous

Anonymous Wed 30 Mar 2022 18:55:47 No.14349787 Report

Quoted By: >>14349790

>>14349783
0.999,,, is 0.999,,, i dont say its definitive

Anonymous

Anonymous Wed 30 Mar 2022 18:56:27 No.14349790 Report

Quoted By: >>14349803

>>14349787
If it is undefined then how does it equal 1?

Anonymous

Anonymous Wed 30 Mar 2022 19:00:05 No.14349803 Report

Quoted By: >>14349805

>>14349790
its not equal its lesser equal

Anonymous

Anonymous Wed 30 Mar 2022 19:00:22 No.14349805 Report

Quoted By: >>14349829

>>14349803
It's just lesser. Undefined cannot be equal.

Anonymous

Anonymous Wed 30 Mar 2022 19:00:32 No.14349806 Report

Quoted By:

this is worse than fucking /pol/

Anonymous

Anonymous Wed 30 Mar 2022 19:06:04 No.14349828 Report

Quoted By: >>14349859

>>14349716
Nope. 0.333... is simply another way to write 1/3.
1/3 is equal to 0.333... by definition.

Anonymous

Anonymous Wed 30 Mar 2022 19:06:10 No.14349829 Report

Quoted By:

>>14349805
Then someone can jump in and say "its as good as"
So is it
1) =
2) ?
3) <

Hint: taking a position wont get you anywhere you can be rational and have all the 3 conclusions in your mind and yet they all are true

Anonymous

Anonymous Wed 30 Mar 2022 19:17:05 No.14349859 Report

Quoted By:

>>14349828
... is definition of undefined order
order as in there is no point where it stops

Anonymous

Anonymous Wed 30 Mar 2022 19:27:41 No.14349881 Report

Quoted By:

>>14349769
>.000...1
$\displaystyle 0. \bar{0}1 = \lim_{n \to \infty} 0. \underbrace{0 \dots 0}_{n ~ \text{times}}1 = \lim_{n \to \infty} \left [ \left ( \sum_{k=1}^n \dfrac{0}{10^k} \right ) + \dfrac{1}{10^{n+1}} \right ] =0 $

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