/sci/ - Science & Math » Thread #11584695

28KiB, 520x353, visualizing_0.999.png

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.999... = 1 EXPLAINED PROOF

Anonymous Mon 20 Apr 15:17:43 2020 No.11584695 View Reply Original Report

Name a number on R between .999... and 1.
You can't.
Therefore .999... = 1

Anonymous

Anonymous Mon 20 Apr 2020 15:19:08 No.11584698 Report

Quoted By: >>11584709 >>11584929 >>11585291 >>11586800

reminder that Trump/gop saw it unfolding on the news for 3 months but did nothing
https://youtu.be/xfPk1HIBLfM
https://youtu.be/bkMwvmJLnc0
https://youtu.be/UHjJydZO99A

Anonymous

Anonymous Mon 20 Apr 2020 15:22:36 No.11584706 Report

Quoted By: >>11585584

>>11584695
Please stop this shit, I hate seeing this thread everyday.

Anonymous

Anonymous Mon 20 Apr 2020 15:23:32 No.11584709 Report

Quoted By: >>11584724 >>11584728

>>11584698
>Reminder that so did the whole world and dem leadership sat on their hands too

Anonymous

Anonymous Mon 20 Apr 2020 15:30:34 No.11584724 Report

Quoted By:

>>11584709

Jan 3 ----- Trump told of virus in China
Jan 4 - Golf
Jan 5 - Golf
Jan 8 ----- CDC issues its first warning
Jan 9 - Campaign rally
Jan 14 - Campaign rally
Jan 18 - Golf
Jan 19 - Golf
Jan 28 - Campaign rally
Jan 30 - Campaign rally

Feb 1 - Golf
Feb 2 - Golf
Feb 10 - Campaign rally
Feb 15 - Golf
Feb 16 - Daytona 500
Feb 19 - Campaign rally
Feb 20 - Campaign rally
Feb 21 - Campaign rally
Feb 28 [-](https://youtu.be/WSIuBzKUPDw?t=4m24s) Campaing rally, claims the virus is “Their new Hoax”

March 7 - Golf
March 8 - Golf
March 9 - tweets comparing it to the flu
March 10 - says “And it will go away. Just relax. It will go away”

3/13/2020 - Trump for first time admits COVID-19 is a concern, declares National Emergency but says “I don’t take responsibility at all"

Anonymous

Anonymous Mon 20 Apr 2020 15:31:44 No.11584728 Report

Quoted By: >>11584737 >>11584947 >>11585014 >>11585256 >>11588685

>>11584709

Jan 3 ----- Trump told of virus in China
Jan 4 - Golf
Jan 5 - Golf
Jan 8 ----- CDC issues its first warning
Jan 9 - Campaign rally
Jan 14 - Campaign rally
Jan 18 - Golf
Jan 19 - Golf
Jan 28 - Campaign rally
Jan 30 - Campaign rally

Feb 1 - Golf
Feb 2 - Golf
Feb 10 - Campaign rally
Feb 15 - Golf
Feb 16 - Daytona 500
Feb 19 - Campaign rally
Feb 20 - Campaign rally
Feb 21 - Campaign rally
Feb 28 -Campaing rally, claims the virus is “Their new Hoax”

March 7 - Golf
March 8 - Golf
March 9 - tweets comparing it to the flu
March 10 - says “And it will go away. Just relax. It will go away”

3/13/2020 - Trump for first time admits COVID-19 is a concern, declares National Emergency but says “I don’t take responsibility at all"

Anonymous

Anonymous Mon 20 Apr 2020 15:32:43 No.11584731 Report

Quoted By: >>11585291

>>11584695
So this invalidates everything my blue collar ass learned in pre calculus?

Anonymous

Anonymous Mon 20 Apr 2020 15:34:30 No.11584737 Report

Quoted By: >>11584743

>>11584728
>comparing it to the flu
turns out he was right

Anonymous

Anonymous Mon 20 Apr 2020 15:37:11 No.11584741 Report

Quoted By: >>11584775 >>11585344 >>11594907

>>11584695
$r=\frac{1+0.999...}{2}$
Since 0.999... < 1 it follows that 0.999... < r < 1.

Anonymous

View Same Google iqdb SauceNAO 2020.jpg, 51KiB, 960x634

Anonymous Mon 20 Apr 2020 15:39:02 No.11584743 Report

Quoted By: >>11585294

>>11584737
https://youtu.be/_8NkuVId2Lw?t=3m

Anonymous

View Same Google iqdb SauceNAO 9=1.png, 18KiB, 1769x844

Anonymous Mon 20 Apr 2020 15:44:40 No.11584755 Report

Quoted By: >>11584760

learn calc fags

Anonymous

Anonymous Mon 20 Apr 2020 15:46:44 No.11584760 Report

Quoted By:

>>11584755
not enough white space

Anonymous

Anonymous Mon 20 Apr 2020 15:52:25 No.11584775 Report

Quoted By: >>11586869

>>11584741
r will equal exactly 1 because .9999... is exactly equal to 1

Anonymous

Anonymous Mon 20 Apr 2020 16:57:08 No.11584929 Report

Quoted By: >>11584947 >>11585910

>>11584698

He shut off travel from China early, you're a liar.

Anonymous

Anonymous Mon 20 Apr 2020 17:05:11 No.11584947 Report

Quoted By: >>11584979 >>11584991 >>11585020 >>11588689

>>11584929
Any epidemiologist knows that shutting the border with even a 0.001% leak is nothing but a speed bump, you win just a few weeks.
So what did he waste that on?
>>11584728

Anonymous

Anonymous Mon 20 Apr 2020 17:15:30 No.11584979 Report

Quoted By: >>11584985 >>11585012

>>11584695
>Name an integer between 1 and 2
>hurr durr, you can't so 1 and 2 are the same
ex dee ex dee so smart haha look at me.
>>11584947
Get the fuck off /sci/ and go get rekt in /pol/. No one likes Trump but he's better than whoever you want.

Anonymous

Anonymous Mon 20 Apr 2020 17:18:41 No.11584985 Report

Quoted By: >>11584993

>>11584979
The Naturals aren't dense, so the argument doesn't work on them. The Reals are dense, so it is a valid argument. Learn SOME fucking math god damn it!

Anonymous

Anonymous Mon 20 Apr 2020 17:19:13 No.11584987 Report

Quoted By: >>11585194

>>11584695
0.999...<0.9999...<0.99999.... etc <1

YOU ARE RETARD

Anonymous

Anonymous Mon 20 Apr 2020 17:19:37 No.11584990 Report

Quoted By: >>11585034

Does 9.899... = 9.999...?

Anonymous

Anonymous Mon 20 Apr 2020 17:19:49 No.11584991 Report

Quoted By: >>11585007

>>11584947
Stop moving the goal post, LIAR!

Anonymous

Anonymous Mon 20 Apr 2020 17:20:03 No.11584993 Report

Quoted By: >>11585023

>>11584985
But I am. I have my final exam in calculus 2 and even if I shit the bed on it, I will be passing with an A-. But I won't shit the bed. I'm saying you're retarded that is all.

Anonymous

Anonymous Mon 20 Apr 2020 17:22:29 No.11585001 Report

Quoted By: >>11585026

>hurr durr its approaching 1 so it must be 1!
Anyways, I'm out. Enjoy the same garbage over and over.

Anonymous

Anonymous Mon 20 Apr 2020 17:24:34 No.11585007 Report

Quoted By:

>>11584991
read a book
or watch this https://www.youtube.com/watch?v=gxAaO2rsdIs

Even worse, Washington already had covid-19 spreading, and Europe had free access.

Anonymous

Anonymous Mon 20 Apr 2020 17:24:52 No.11585009 Report

Quoted By: >>11585017 >>11585194 >>11585864

>>11584695
name a number on N between 1 and 2
you can't
therefore 1 = 2

Anonymous

Anonymous Mon 20 Apr 2020 17:26:59 No.11585012 Report

Quoted By:

>>11584979
Make America Gasp Again

Make America Grapes of wrath Again

Anonymous

Anonymous Mon 20 Apr 2020 17:27:38 No.11585014 Report

Quoted By: >>11585020

>>11584728
The fact that you didn't include "Trump shuts down travel from China, and gets called racist for it", and did include the "Claims virus is a hoax" fake news proves that you are lying scum. You should be ashamed of yourself.

Anonymous

Anonymous Mon 20 Apr 2020 17:28:10 No.11585017 Report

Quoted By: >>11586230

>>11585009
anon...
$\displaystyle \boxed{ \mathbb{T} \; \boxed{ \mathbb{S} \; \boxed{ \mathbb{O} \; \boxed{ \mathbb{H} \; \boxed{ \mathbb{C} \; \boxed{ \mathbb{R} \; \boxed{ \mathbb{Q} \; \boxed{ \mathbb{Z} \; \boxed{ \mathbb{N}}}}}}}}}} $

Anonymous

Anonymous Mon 20 Apr 2020 17:29:12 No.11585020 Report

Quoted By: >>11585030

>>11585014
>>11584947

Anonymous

Anonymous Mon 20 Apr 2020 17:30:36 No.11585023 Report

Quoted By: >>11585032

>>11584993
If you think being unable to find a 'c' such that 0.999...<c<1 isn't a humongous problem for you, then you clearly don't deserve even an F.

Anonymous

Anonymous Mon 20 Apr 2020 17:32:08 No.11585026 Report

Quoted By:

>>11585001
You are a retard who doesn't understand what "approaching" means in a mathematical context. Just like how creationists are too stupid to understand what "theory" means in a scientific context.

Anonymous

Anonymous Mon 20 Apr 2020 17:35:26 No.11585030 Report

Quoted By: >>11585036

>>11585020
That's not an apology for lying...

Anonymous

Anonymous Mon 20 Apr 2020 17:37:27 No.11585032 Report

Quoted By: >>11585038 >>11585064 >>11585261

>>11585023
0.999...<0.99999...<0.999999999....<1

RETARD

Anonymous

Anonymous Mon 20 Apr 2020 17:38:08 No.11585034 Report

Quoted By:

>>11584990
no
9.899... = 9.8 + 0.0999... = 9.8 + 0.1 = 9.9

Anonymous

Anonymous Mon 20 Apr 2020 17:39:25 No.11585036 Report

Quoted By: >>11585058

>>11585030
no lie, no apology

Anonymous

Anonymous Mon 20 Apr 2020 17:40:31 No.11585038 Report

Quoted By:

>>11585032
kek, they are all =1

Anonymous

Anonymous Mon 20 Apr 2020 17:48:06 No.11585058 Report

Quoted By: >>11585076 >>11585106

>>11585036
Yes you did. You lied by saying Trump did nothing, and that he called the virus itself a hoax. Those are a lie by omission and an outright lie respectively. Fuck you, LIAR. And you KNOW that you're lying because you move the goalpost after being called out for your disgusting lies.

Anonymous

Anonymous Mon 20 Apr 2020 17:50:07 No.11585064 Report

Quoted By: >>11585305

>>11585032
I'm so confused. What does the "..." mean to you?.

Anonymous

Anonymous Mon 20 Apr 2020 17:53:15 No.11585076 Report

Quoted By: >>11585104 >>11588694

>>11585058
No lie, no apology.

Anonymous

View Same Google iqdb SauceNAO Trump Actual Timeline.png, 198KiB, 1057x820

Anonymous Mon 20 Apr 2020 17:59:26 No.11585104 Report

Quoted By: >>11585124 >>11585126 >>11585166

>>11585076
There are only two ways you could argue that honestly: you are stupid enough to believe that you're telling the truth, or you aren't the same guy who posted the deceptive timeline.

Anonymous

Anonymous Mon 20 Apr 2020 18:00:13 No.11585106 Report

Quoted By: >>11585166

>>11585058
I'm not going to list all the useless things he did.
He knew, and ignored, that the pandemic was unstoppable. That is the moment he had to start a war effort to get tests, masks, visors, gloves, gowns, ventilators. He didn't, and now he has killed more Americans than bin Laden ever even dared to dream of.
Trump - the leading cause of death in America.

Anonymous

Anonymous Mon 20 Apr 2020 18:03:21 No.11585124 Report

Quoted By: >>11585162 >>11588706

>>11585104
That timeline is even more disingenuous than the other guy's

Anonymous

Anonymous Mon 20 Apr 2020 18:03:48 No.11585126 Report

Quoted By:

>>11585104
- during Jan & Feb: export of masks, gowns and ventilators went up 1000%
- during Jan & Feb: import of hand sanitizer and ventilators fell by 11%
- government's contracts for PPE will not arrive until Sep/Oct
https://twitter.com/MiaFarrow/status/1248255386383253506

Anonymous

Anonymous Mon 20 Apr 2020 18:15:56 No.11585162 Report

Quoted By:

>>11585124
Wrong. It's less disingenuous.

Anonymous

Anonymous Mon 20 Apr 2020 18:16:59 No.11585166 Report

Quoted By: >>11585173

>>11585106
>>11585104
Stop lying, retard.

Anonymous

Anonymous Mon 20 Apr 2020 18:19:15 No.11585173 Report

Quoted By:

>>11585166
>projecting

Anonymous

Anonymous Mon 20 Apr 2020 18:19:43 No.11585175 Report

Quoted By: >>11585194 >>11585195

>>11584695
Name a number between 0.111... and 0.222..., protip: You can't.

See? You can make that argument about literally any number

Anonymous

Anonymous Mon 20 Apr 2020 18:25:59 No.11585194 Report

Quoted By: >>11585239

>>11585009
Notice I specified the reals
>>11585175
.2
Done. Your argument was wrong to begin with, mine has held up under scrutiny.
>>11584987
Those are the same number.

Anonymous

Anonymous Mon 20 Apr 2020 18:26:11 No.11585195 Report

Quoted By: >>11585207 >>11585217 >>11585239

>>11585175
Yes you can: 0.111...<0.12111...<0.2222...
If two Real Numbers are not equal, you can ALWAYS find at least one number strictly between them. Either provide a number in between point nine repeating and one, or admit that you are a retard who can't understand basic calculus/analysis.

Anonymous

Anonymous Mon 20 Apr 2020 18:29:34 No.11585207 Report

Quoted By: >>11585223

>>11585195
>If two Real Numbers are not equal
you can find infinite (aleph-1) real numbers between them

Anonymous

Anonymous Mon 20 Apr 2020 18:31:07 No.11585217 Report

Quoted By: >>11585228

>>11585195
>If two Real Numbers are not equal
you can find infinite (aleph_1) real numbers between them

Anonymous

Anonymous Mon 20 Apr 2020 18:32:31 No.11585223 Report

Quoted By: >>11585228

>>11585207
Thank you for agreeing with me.

Anonymous

Anonymous Mon 20 Apr 2020 18:33:34 No.11585228 Report

Quoted By:

>>11585223
>>11585217
I meant this one.

Anonymous

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Anonymous Mon 20 Apr 2020 18:37:20 No.11585239 Report

Quoted By: >>11585264

>>11585195
>>11585194
I baited and outplayed you

Anonymous

Anonymous Mon 20 Apr 2020 18:44:45 No.11585256 Report

Quoted By:

>>11584728
You know what if he just likes golfing to stay in shape? What if someone gave you shit for lifting weights or jogging a couple of minutes a day?

Anonymous

Anonymous Mon 20 Apr 2020 18:45:31 No.11585261 Report

Quoted By: >>11585305 >>11585767

>>11585032
>a repeating sequence of 9s is not equal to a repeating sequence of 9s
thanks for the bait fren 10/10 made me laugh and reply

Anonymous

Anonymous Mon 20 Apr 2020 18:46:36 No.11585264 Report

Quoted By: >>11585297

>>11585239
You successful convinced me that you were retarded. Congratulations?

Anonymous

Anonymous Mon 20 Apr 2020 18:55:49 No.11585289 Report

Quoted By:

>>11584695
>look mum, I posted it again!

Anonymous

Anonymous Mon 20 Apr 2020 18:56:59 No.11585291 Report

Quoted By: >>11585294 >>11585320 >>11596054 >>11596061

>>11584731
OP is retarded. .9... is the largest number that is less than 1 and as such there is no number between them. Not all .9... are equal so another way of looking at it is that .9... is between .9... and 1
>>11584698
The virus is no more deadly than influenza, fuck off (((CDC)))

Anonymous

Anonymous Mon 20 Apr 2020 18:58:39 No.11585294 Report

Quoted By: >>11591319

>>11585291
>no more deadly than influenza
>>11584743

Anonymous

Anonymous Mon 20 Apr 2020 18:59:41 No.11585297 Report

Quoted By:

>>11585264
Thank you. The 0.999...!=1 threads really put the bar low though so I don't take that much credit

Anonymous

Anonymous Mon 20 Apr 2020 19:02:02 No.11585305 Report

Quoted By: >>11585312

>>11585064
pattern extends to infinity.
>>11585261
dumb bastard
10^(x+1) > 10^x is always true, even as x extends to infinity

IDIOT

Anonymous

Anonymous Mon 20 Apr 2020 19:03:59 No.11585312 Report

Quoted By:

>>11585305
>IDIOT
/thread

Like, the entire thread.

Anonymous

Anonymous Mon 20 Apr 2020 19:06:12 No.11585320 Report

Quoted By:

>>11585291
>.9... is the largest number that is less than 1
There is no such number. Stop lying to people by insinuating that you actually know what you're talking about.

Anonymous

Anonymous Mon 20 Apr 2020 19:14:44 No.11585344 Report

Quoted By:

>>11584741
"to prove 0.999... < 1, let's start by assuming 0.999... < 1"

Anonymous

View Same Google iqdb SauceNAO thumb_master-trole-kid-know-your (...).png, 66KiB, 300x449

Anonymous Mon 20 Apr 2020 19:47:10 No.11585436 Report

Quoted By: >>11585449 >>11585767 >>11586443

>>11584695
>Name a number on R between .999... and 1.
$\frac{.999... + 1}{2}$

Anonymous

Anonymous Mon 20 Apr 2020 19:50:17 No.11585449 Report

Quoted By: >>11585683 >>11585767

>>11585436
That equals 1, which isn't strictly between 0.9... and 1. Also it's circular reasoning, because you need to assume that 0.9...<1 in order for that to be an example.

Anonymous

Anonymous Mon 20 Apr 2020 20:06:34 No.11585496 Report

Quoted By: >>11585529 >>11585580

>>11584695
Name a number on Z between 1 and 2
You can't
Therefore 1=2.

Anonymous

Anonymous Mon 20 Apr 2020 20:18:37 No.11585529 Report

Quoted By: >>11585530

>>11585496
1<1.5<2
Retard, we're talking about the Reals. The Reals are dense, therefore asking for such a number IS valid. The integers aren't dense, therefore it isn't valid. Stop being a retard who doesn't understand BASIC analysis.

Anonymous

Anonymous Mon 20 Apr 2020 20:19:42 No.11585530 Report

Quoted By: >>11585555

>>11585529
I said Z, not R =)

Anonymous

Anonymous Mon 20 Apr 2020 20:29:13 No.11585555 Report

Quoted By: >>11585560

>>11585530
Why do you think I said "Retard, we're talking about the Reals"? It's because I understood that you changed the subject from the Reals to the Integers, and I called you out on your pathetic attempt to sound smart with a non-sequitur.

Anonymous

Anonymous Mon 20 Apr 2020 20:33:17 No.11585560 Report

Quoted By: >>11585582

>>11585555
>you changed the subject from the Reals to the Integers
yeah that's what I chose to talk about, and you brought up 1.5 so to be honest, you're the moron here. Also w a s t e d.

Anonymous

Anonymous Mon 20 Apr 2020 20:40:29 No.11585580 Report

Quoted By:

>>11585496
>Therefore
non-sequitur

Anonymous

Anonymous Mon 20 Apr 2020 20:41:50 No.11585582 Report

Quoted By: >>11585599

>>11585560
You "chose" to talk about the Integers because you're a retard who thought that bringing them up would disprove the assertion that "find a number between .9... and 1" is a valid question to ask.

Anonymous

Anonymous Mon 20 Apr 2020 20:42:05 No.11585584 Report

Quoted By: >>11585600

>>11584706
this debate will reign eternal, it's /sci/'s sunken cost fallacy

Anonymous

Anonymous Mon 20 Apr 2020 20:47:01 No.11585599 Report

Quoted By: >>11585669

>>11585582
Because it is.
But the fact that is it dense (like you) makes it even worse, it means there is a number between 0.999(...) and 1.

Anonymous

Anonymous Mon 20 Apr 2020 20:48:48 No.11585600 Report

Quoted By: >>11585607

>>11585584
THIS. LONG LIVE THE GREAT DEBATE

Anonymous

Anonymous Mon 20 Apr 2020 20:50:36 No.11585607 Report

Quoted By: >>11585673 >>11586176

>>11585600
/sci/ literally arguing over nothing
1-.9999=0

Anonymous

Anonymous Mon 20 Apr 2020 21:12:13 No.11585669 Report

Quoted By: >>11585680

>>11585599
Retard. If a set of numbers are dense, such as the Reals but NOT the Integers, then there is at least one number between a and b if a<b.
You are arguing the literally retarded idea that .9...<1 so it is up to you to show a number c such that .9...<c<1. I argue that it's impossible to do so because .9...=1. You argue, without realizing because YOU are the retard here, that it is possible. Show me the c. Don't change the subject, don't weasel out of it, just give me the fucking number.

Anonymous

Anonymous Mon 20 Apr 2020 21:13:15 No.11585673 Report

Quoted By: >>11585677 >>11586176

>>11585607
Wrong. It equals 0.0001.
The "..." is important.

Anonymous

Anonymous Mon 20 Apr 2020 21:14:18 No.11585677 Report

Quoted By:

>>11585673
Ah yes of course

Anonymous

Anonymous Mon 20 Apr 2020 21:15:23 No.11585680 Report

Quoted By: >>11585709

>>11585669
>so it is up to you to show a number c such that .9...<c<1
c=.99.... duh

Anonymous

Anonymous Mon 20 Apr 2020 21:17:38 No.11585683 Report

Quoted By:

>>11585449
dude i don't actually think 1 > 0.99... lmao

Anonymous

Anonymous Mon 20 Apr 2020 21:24:34 No.11585709 Report

Quoted By: >>11585726

>>11585680
The "..." means the nines repeat infinitely. So .99...=.9...
Writing down one extra nine doesn't actually change the value, retard.

Anonymous

Anonymous Mon 20 Apr 2020 21:28:35 No.11585726 Report

Quoted By: >>11585739

>>11585709
>.99...=.9...
Wow hold up now you're creating and entirely new debate here, lets stick to 1>.9...

Anonymous

Anonymous Mon 20 Apr 2020 21:35:35 No.11585739 Report

Quoted By: >>11585744 >>11585762 >>11585773

>>11585726
You're probably right, these .9...=/=1 retards literally argue that 1/3=/=.3...
It's like playing whack-a-mole; every time you pound down one stupid thing they say, another one pops up.

Anonymous

Anonymous Mon 20 Apr 2020 21:36:46 No.11585744 Report

Quoted By:

>>11585739
now you understand

Anonymous

Anonymous Mon 20 Apr 2020 21:41:29 No.11585762 Report

Quoted By: >>11585769 >>11585773 >>11585793 >>11585794

>>11585739
>You're probably right, these .9...=/=1 retards literally argue that 1/3=/=.3...
no we don't. I have never said that 1/3 =/= 0.3..., and in fact I believe 1/3 = .3.... I believe you came to the incorrect conclusion that we would argue 1/3=/=.3... based on the incorrect assumption that .9.../3 = .3..., which is provably false.

Anonymous

Anonymous Mon 20 Apr 2020 21:42:25 No.11585767 Report

Quoted By: >>11585798

>>11585261

I thought strict inequalities didn't hold for infinite decimal expansions? seems you're flip flopping buddy

>>11585436
>>11585449

1 + 0.999... = 1.999...

1.999... /2 = 0.999...

Anonymous

Anonymous Mon 20 Apr 2020 21:42:57 No.11585769 Report

Quoted By: >>11585782

>>11585762
so you disagree with 3*0.333... = 0.999... ?

Anonymous

Anonymous Mon 20 Apr 2020 21:43:51 No.11585773 Report

Quoted By: >>11585776 >>11585807 >>11585873

>>11585762
>>11585739

0.333... is not a number until it terminates broheimsky

Anonymous

Anonymous Mon 20 Apr 2020 21:44:41 No.11585776 Report

Quoted By: >>11585814

>>11585773
source: my ass

Anonymous

Anonymous Mon 20 Apr 2020 21:45:10 No.11585780 Report

Quoted By: >>11585802

>>11584695
0.000...1

Anonymous

Anonymous Mon 20 Apr 2020 21:45:11 No.11585782 Report

Quoted By:

>>11585769
3*.333...=1

Anonymous

Anonymous Mon 20 Apr 2020 21:48:29 No.11585793 Report

Quoted By:

>>11585762
lol, so .999(...)/3=?

Anonymous

Anonymous Mon 20 Apr 2020 21:48:43 No.11585794 Report

Quoted By: >>11585821

>>11585762
Yes you do. You HAVE to. Because otherwise it's trivial to show that .9...=1
1=3/3=3(.3...)=.9...

Anonymous

Anonymous Mon 20 Apr 2020 21:49:46 No.11585798 Report

Quoted By:

>>11585767
Strict inequalities don't GENERALLY hold for infinite decimal expansions. Stop being a retard who doesn't understand math jargon.

Anonymous

Anonymous Mon 20 Apr 2020 21:51:09 No.11585802 Report

Quoted By:

>>11585780
>0.000...1 is greater than .9...
Thank you for confirming that you are a literal retard.

Anonymous

Anonymous Mon 20 Apr 2020 21:52:10 No.11585807 Report

Quoted By:

>>11585773
Yes it is, retard. It's just the decimal expansion for 1/3. Stop being a retard who thinks 1/3 isn't a number.

Anonymous

Anonymous Mon 20 Apr 2020 21:55:33 No.11585814 Report

Quoted By: >>11585821 >>11585822 >>11585830

>>11585776
he's right. try using long division to obtain the decimal form of 1/3. you can never get an answer, because the process never completes. you are always left with a remainder of 1 at each step and must continue with the next iteration. there is no decimal expansion. representing this infinite expansion with ellispes has never served any purpose but to cause confusion and leads people into falsely concluding that you can manipulate the idea of 0.33... as though it were a real number, when it references an idea that cannot exist as a number and is not concrete. the only valid and rigorous way to interpret "0.3..." is as an ad hoc alias for the fraction 1/3, not as an infinite decimal expansion, which cannot exist. Then if we take 3*0.3..., we replace 0.3... with the more rigoriously defined fractional equivalent 1/3 whose long division it represents, we get 3*1/3 which is obviously 1, not 0.9...

Anonymous

Anonymous Mon 20 Apr 2020 21:57:02 No.11585821 Report

Quoted By: >>11585826

>>11585794
false, see my post >>11585814

Anonymous

Anonymous Mon 20 Apr 2020 21:57:22 No.11585822 Report

Quoted By: >>11585833

>>11585814
>the process I use takes time therefore the final result doesn't exist
lel

Anonymous

Anonymous Mon 20 Apr 2020 21:59:00 No.11585826 Report

Quoted By:

>>11585821
https://rationalwiki.org/wiki/Mistaking_the_map_for_the_territory
Fuck you for making me cite rationalpedia. You are confusing the semantics of the notation .3... with the number it represents. Stop it.

Anonymous

Anonymous Mon 20 Apr 2020 22:00:01 No.11585830 Report

Quoted By: >>11585836

>>11585814
do you have a conceptual problem with functions ? like sin(x), x^2 +1 etc.

Anonymous

Anonymous Mon 20 Apr 2020 22:01:15 No.11585833 Report

Quoted By: >>11585837 >>11585840

>>11585822
no matter how fast you are at computing the decimal expansion, you can never compute it, because it is infinite. there is never an end to the computation. the end doesn't exist. the decimal expansion doesn't exist.

Anonymous

Anonymous Mon 20 Apr 2020 22:02:22 No.11585836 Report

Quoted By:

>>11585830
He's arguing that .3...=/=1/3
Of course he's a fucking retard who can't understand trig.

Anonymous

Anonymous Mon 20 Apr 2020 22:02:51 No.11585837 Report

Quoted By: >>11585845

>>11585833
>thinking its contingent on how fast you'd have to compute at all.

Anonymous

Anonymous Mon 20 Apr 2020 22:04:03 No.11585840 Report

Quoted By: >>11585876

>>11585833
Yes it fucking does. It's .3...
Just because you don't like ellipses doesn't mean they don't exist and aren't useful. God fucking damn it! Arguing with you is like arguing with a five year with a cookie in their hand if he took any cookies. ARGH!

Anonymous

Anonymous Mon 20 Apr 2020 22:04:47 No.11585844 Report

Quoted By: >>11585867 >>11585949 >>11588722

I dropped out of high school after doing pre-calc, so forgive me if I'm being a math brainlet, but here's my read on the situation:
>/sci/ nerds are generally autists who are going to take the bait every time somebody tries to come up with a flawed argument for it not being equal
>this is a hot topic because it's already a point of contention between smoothbrains and math nerds because intuitively it doesn't make sense but mathematically it does
>shitposters love an easy way to rile people up and get you's, other kinds of shitposters love stirring the pot in a stupid argument
>therefore we have a thread like this every day
Also, isn't 0.999... not a real number? Even though they represent the same value, saying they are equal is part of the problem because 1 is actually a number and 0.999... is not, and that's what the smoothbrains don't get.

Anonymous

Anonymous Mon 20 Apr 2020 22:05:11 No.11585845 Report

Quoted By: >>11585857 >>11585956

>>11585837
go ahead, try writing out the decimal expansion of 1/3, without using "..." to represent the result of the rest of the long division, which doesn't exist. you can't. the only way to write the decimal expansion of 1/3 is to invoke the notion of the "rest" of the infinite long division.

Anonymous

Anonymous Mon 20 Apr 2020 22:05:31 No.11585846 Report

Quoted By:

>>11584695
imagine i'm using a base 12 number system, and have b represent this new '11' equivalent.

0.bbb... would be between 0.999 and 1 in the sense that 0.9 < 0.b <1, 0.99 < 0.bb < 1, 0.999 < 0.bbb < 1
and so on

Anonymous

Anonymous Mon 20 Apr 2020 22:09:09 No.11585857 Report

Quoted By:

>>11585845
>YOU HAVE TO WRITE OUT A SPECIFIC FORM OF THE NUMBER ON FUCKING PAPER FOR IT TO EXIST
We're reaching levels of idiocy I never thought possible.

Anonymous

View Same Google iqdb SauceNAO images (15).jpg, 27KiB, 621x494

Anonymous Mon 20 Apr 2020 22:10:44 No.11585864 Report

Quoted By: >>11585877

>>11585009
>The integers are complete

Anonymous

Anonymous Mon 20 Apr 2020 22:11:28 No.11585867 Report

Quoted By: >>11585881 >>11585897

>>11585844
yes. 0.9... is not a real number, and yes that is why 0.9 can never be equal to 1. try to name dividend and divisor that will compute to 0.9... . You can't, because 0.9... does not exist.

Anonymous

Anonymous Mon 20 Apr 2020 22:14:38 No.11585873 Report

Quoted By:

>>11585773
this

Anonymous

Anonymous Mon 20 Apr 2020 22:15:37 No.11585876 Report

Quoted By: >>11585961

>>11585840
>hurr durr i can't express this number using actual numers so I'm going to make up ellispses and use them to define fake numbers!
i'd like to introduce the new number 1#9 and define 1#9 = 3. don't agree with me? well then you must be a brainlet.

Anonymous

Anonymous Mon 20 Apr 2020 22:15:46 No.11585877 Report

Quoted By:

>>11585864
while completeness satisfies this property, what you're thinking of is "dense"

Anonymous

Anonymous Mon 20 Apr 2020 22:16:26 No.11585881 Report

Quoted By: >>11585887 >>11585896

>>11585867
They are equal in the sense that they represent the same value on a number scale, no?

Anonymous

Anonymous Mon 20 Apr 2020 22:17:49 No.11585887 Report

Quoted By:

>>11585881
exactly

Anonymous

Anonymous Mon 20 Apr 2020 22:21:31 No.11585896 Report

Quoted By: >>11585962

>>11585881
sure, if you define .9... in an ad hoc way to be a mere alias for 1, in the same way that .3... is defined in an ad hoc way as an alias for 1/3.

Anonymous

Anonymous Mon 20 Apr 2020 22:22:05 No.11585897 Report

Quoted By: >>11586628

>>11585867
0.999... is not a number, it's a short-hand verbalization of an expression of limits.

Anonymous

Anonymous Mon 20 Apr 2020 22:28:22 No.11585910 Report

Quoted By: >>11585966

>>11584929
He "shut off travel from China" after all of the major airline companies already did.

Anonymous

Anonymous Mon 20 Apr 2020 22:42:57 No.11585949 Report

Quoted By:

>>11585844
.9... is a number, specifically it's another way of writing 1. Other than that, you're fucking spot on in your analysis.

Anonymous

Anonymous Mon 20 Apr 2020 22:46:12 No.11585956 Report

Quoted By:

>>11585845
That's like asking for someone to write a fraction without the fraction bar. You could, but the person asking for it is so dishonest and dumb that they'll come up with an excuse to not accept it.
.3... IS the decimal representation of 1/3. Your immature temper tuntrum over how "ellipses don't count" doesn't change that. Grow up.

Anonymous

Anonymous Mon 20 Apr 2020 22:48:22 No.11585961 Report

Quoted By: >>11585968

>>11585876
Technically you can do that. What operation does the # represent? What's the definition? What's 2#9? Or 9#9? Or did you slam your fist on the keyboard as a replacement for an argument?

Anonymous

Anonymous Mon 20 Apr 2020 22:49:26 No.11585962 Report

Quoted By:

>>11585896
You being too stupid to understand the notation doesn't make it ad hoc.

Anonymous

Anonymous Mon 20 Apr 2020 22:50:45 No.11585966 Report

Quoted By:

>>11585910
Remove the quotes, liar. There's more travel than just the airlines, retard.

Anonymous

Anonymous Mon 20 Apr 2020 22:51:02 No.11585968 Report

Quoted By: >>11585975

>>11585961
Not that guy but the it's because it's infinite that it'll never touch one.

Anonymous

View Same Google iqdb SauceNAO 1579576263169.png, 92KiB, 596x1008

Anonymous Mon 20 Apr 2020 22:52:20 No.11585969 Report

Quoted By: >>11585981

>Your immature temper tuntrum doesn't change that. Grow up.

Anonymous

Anonymous Mon 20 Apr 2020 22:54:49 No.11585975 Report

Quoted By:

>>11585968
The nines are already there. It's a number, not a process.

Anonymous

Anonymous Mon 20 Apr 2020 22:55:51 No.11585981 Report

Quoted By:

>>11585969
>Resorting a wojak meme instead of actually responding.
Pathetic.

Anonymous

Anonymous Mon 20 Apr 2020 23:53:00 No.11586176 Report

Quoted By: >>11586378

>>11585607
>>11585673

1 - 0.999... = 0.00...1

You're welcome.

Anonymous

Anonymous Tue 21 Apr 2020 00:16:09 No.11586230 Report

Quoted By:

>>11585017
Trigintaduonions

Anonymous

Anonymous Tue 21 Apr 2020 00:21:22 No.11586239 Report

Quoted By:

(1/3) * 3 = 1

1/3 = 0.3333...
0.3333... * 3 = 0.9999...
Therefore 0.9999... = 1
How is this so hard to understand?

Anonymous

Anonymous Tue 21 Apr 2020 01:07:46 No.11586369 Report

Quoted By: >>11586409 >>11588730 >>11591149

this is stupid because i could similarly ask you write the number N such that 1/N = 0 and N>0

such a number needs to exist otherwise 1/infinity is 0 but we know that the number get gets smaller. it can just never = 0

similarly 0.999... gets close to 1 but it can never be 1

Anonymous

Anonymous Tue 21 Apr 2020 01:10:22 No.11586378 Report

Quoted By:

>>11586176
Damn, anon just solved it guys pack it up

Anonymous

Anonymous Tue 21 Apr 2020 01:20:16 No.11586409 Report

Quoted By: >>11590665

>>11586369
>0.999... gets close
0.999... is static, the length is aleph_0 from the get go.
Your naive cartoon vision of a diesel engine chugging along is ridiculous. Embarrassing even.

Anonymous

Anonymous Tue 21 Apr 2020 01:31:08 No.11586443 Report

Quoted By:

>>11585436
Add .999.. + .999 and you'll get something with an 8 at the end 1.99..8
Now what?

Anonymous

Anonymous Tue 21 Apr 2020 02:33:56 No.11586623 Report

Quoted By:

>>11584695
That graph would go on infinitely and you could zoom in forever without it ever touching 1. This is just as stupid as that image where pi is depicted as 4, except that one was joking. I really hate you 1tards more than anything

Anonymous

Anonymous Tue 21 Apr 2020 02:35:07 No.11586628 Report

Quoted By:

>>11585897
>0.9... is not a real number
>0.9=1
So you are saying 1 is not a real number? Is this really the level 1tards are on?

Anonymous

Anonymous Tue 21 Apr 2020 03:14:31 No.11586800 Report

Quoted By:

>>11584698
>Disinformation shill posts completely off-topic misinfo to derail legitimate thread
Mods

Anonymous

Anonymous Tue 21 Apr 2020 03:38:53 No.11586860 Report

Quoted By:

>brainlets can't understand infinite series
>their number of braincells converges to 0

Anonymous

Anonymous Tue 21 Apr 2020 03:42:53 No.11586869 Report

Quoted By: >>11591114

>>11584775
You cannot use the solution you're wanting to find as part of the proof.

Anonymous

Anonymous Tue 21 Apr 2020 03:51:11 No.11586896 Report

Quoted By: >>11586904

>>11584695
>You can't.
prove it

Anonymous

View Same Google iqdb SauceNAO For 1 tards.jpg, 97KiB, 1654x2339

Anonymous Tue 21 Apr 2020 03:53:17 No.11586904 Report

Quoted By:

>>11586896
There, proven.

Anonymous

Anonymous Tue 21 Apr 2020 18:27:20 No.11588685 Report

Quoted By:

>>11584728
>claims the virus is “Their new Hoax”
Never happened. Your credibility just dropped to zero.

Anonymous

Anonymous Tue 21 Apr 2020 18:29:03 No.11588689 Report

Quoted By:

>>11584947
>Any epidemiologist knows that shutting the border with even a 0.001% leak is nothing but a speed bump, you win just a few weeks.
>Source: my dumb ass.
Look up what “flattening the curve” and ”initial viral load” mean, retard.

Anonymous

Anonymous Tue 21 Apr 2020 18:30:11 No.11588694 Report

Quoted By:

>>11585076
Retard

Anonymous

Anonymous Tue 21 Apr 2020 18:31:50 No.11588706 Report

Quoted By:

>>11585124
How so?

Anonymous

View Same Google iqdb SauceNAO 1or2.jpg, 38KiB, 684x354

Anonymous Tue 21 Apr 2020 18:32:51 No.11588713 Report

Quoted By: >>11589325 >>11589530 >>11589536 >>11589542

>>11584695
So, /sci/ how would you answer this question? :)

Anonymous

Anonymous Tue 21 Apr 2020 18:34:26 No.11588722 Report

Quoted By:

>>11585844
Of course it’s a real number ya dingus. Every decimal expansion denotes a real number.

Anonymous

Anonymous Tue 21 Apr 2020 18:36:01 No.11588730 Report

Quoted By: >>11589291

>>11586369
A fixed number doesn’t “get close” to anything.

Anonymous

Anonymous Tue 21 Apr 2020 21:17:52 No.11589291 Report

Quoted By: >>11589396

>>11588730
Well no, it's the progression of the sequence that gets close.

Anonymous

Anonymous Tue 21 Apr 2020 21:27:07 No.11589325 Report

Quoted By: >>11594762

>>11588713
Depends whether you want the answer to be the decimal representation of a real number,

Anonymous

Anonymous Tue 21 Apr 2020 21:27:31 No.11589328 Report

Quoted By:

>>11584695
You GOD CURSED SODOMITES just cant leave it alone, can you?
Well, we are done arguing. Once you have joined the rest of the SINNERS in the fires of a finite HELL we will be free to write the text books anyway we want, and you can be sure that each and EVERY page, from simple arithmetic to some shit about manifolds and the Riemann hypothesis will have
0.999... does NOT equal 1 written in BIG FIERY BOLD PRINT across the top of EACH and EVERY sacred page. Accompanied by little pictures of Crusaders butchering Heretics.

Anonymous

Anonymous Tue 21 Apr 2020 21:47:56 No.11589396 Report

Quoted By: >>11589794

>>11589291
Right. And 0.999... denotes a fixed number, not a sequence.

Anonymous

Anonymous Tue 21 Apr 2020 22:34:42 No.11589530 Report

Quoted By:

>>11588713
1.
your point ?

Anonymous

Anonymous Tue 21 Apr 2020 22:36:25 No.11589536 Report

Quoted By:

>>11588713
0.999999 is not the same as 0.999...

Anonymous

Anonymous Tue 21 Apr 2020 22:39:44 No.11589542 Report

Quoted By: >>11590064

>>11588713
Haha wow so funny
Yeah no shit dumbass we're discussing whether 0.999...= 1, not whether 1 = 0.999...

Anonymous

Anonymous Wed 22 Apr 2020 00:31:41 No.11589794 Report

Quoted By: >>11592478

>>11589396
That fixed number being the limit of a sequence. Learn notation

Anonymous

Anonymous Wed 22 Apr 2020 02:28:05 No.11590064 Report

Quoted By:

>>11589542
Oh so now real numbers no longer have reflexivity. topkek

Anonymous

Anonymous Wed 22 Apr 2020 06:54:28 No.11590656 Report

Quoted By: >>11590665 >>11590943 >>11591174 >>11591183 >>11592485 >>11595818

>>11584695
why can't you retards understand that .999.. isn't a number but a limit ? same thing with 0.333... it is just a limit

Anonymous

Anonymous Wed 22 Apr 2020 06:57:57 No.11590665 Report

Quoted By: >>11595818

>>11590656
>>11586409

Anonymous

Anonymous Wed 22 Apr 2020 09:06:18 No.11590868 Report

Quoted By: >>11590886

'...' doesn't mean anything.
0.333... means nothing other than the unsolvability of the divisional translation of 1/3 between Fractional to Decimal. The translation is inaccurate because '1/3' doesn't exist in Decimal.

This is not a hard concept to understand if you're multilingual. some languages have words for abstract ideas that other languages do not.

Anonymous

Anonymous Wed 22 Apr 2020 09:14:21 No.11590886 Report

Quoted By:

>>11590868
>source: my ass

Anonymous

Anonymous Wed 22 Apr 2020 09:56:47 No.11590943 Report

Quoted By: >>11590996

>>11590656
and a limit isn't a number ?

Anonymous

Anonymous Wed 22 Apr 2020 10:06:44 No.11590959 Report

Quoted By: >>11590965

>>11584695
why complicate things?

$0,(9) \times 10 = 9,(9) = 9 + 0,(9)$

replacing 0,(9) with $x$
$10x = 9 + x\\ x = 1$
since $x = 0,(9) \Leftrightarrow 0,(9) = 1{ }$
$\square$

Anonymous

Anonymous Wed 22 Apr 2020 10:10:45 No.11590965 Report

Quoted By: >>11590970

>>11590959
>clunky

$\displaystyle 1 = \frac {3}{3} = 3 \cdot \frac {1}{3} = 3 \cdot 0. \bar{3} = 0. \bar{9} $

Anonymous

Anonymous Wed 22 Apr 2020 10:18:42 No.11590970 Report

Quoted By:

>>11590965
that is a lot cleaner, and equivalent of course
but I have been replied that "one cannot simply multiply by 3, because that means summing an infinite series"
well, it seems that for some folks the 10 multiplication makes it easier to understand

Anonymous

Anonymous Wed 22 Apr 2020 10:38:05 No.11590996 Report

Quoted By: >>11591116

>>11590943
It might not be a real number, like $\infty$

Anonymous

Anonymous Wed 22 Apr 2020 12:03:49 No.11591114 Report

Quoted By:

>>11586869
>Since 0.999... < 1

Anonymous

Anonymous Wed 22 Apr 2020 12:07:18 No.11591116 Report

Quoted By: >>11591174

>>11590996
But it is a number. Also, limits don't converge rather than being equal to inf. Also, you haven't shown that 0.999... is like inf.

Anonymous

Anonymous Wed 22 Apr 2020 12:40:51 No.11591149 Report

Quoted By:

>>11586369
0.99... is equal to the limit of whatever construction you use to create it.
The construction might never reach 1, but the limit is equal to it, which is why 0.99... is equal to 1.
If you say otherwise you don't understand limits.

Anonymous

Anonymous Wed 22 Apr 2020 12:44:29 No.11591152 Report

Quoted By:

god how do people actually still argue about this

Anonymous

Anonymous Wed 22 Apr 2020 13:02:25 No.11591174 Report

Quoted By: >>11591178

>>11591116
I was merely stating that not all limits are real numbers.
I am not >>11590656, who clearly could use some math lessons

Anonymous

Anonymous Wed 22 Apr 2020 13:03:55 No.11591177 Report

Quoted By: >>11595016

>>11584695
I can, .9999

And no, .999 doesn't = 1 since to get to 1 from .999 you still need to add .001

Anonymous

Anonymous Wed 22 Apr 2020 13:04:15 No.11591178 Report

Quoted By: >>11591195 >>11591352

>>11591174
>I was merely stating that not all limits are real numbers.
But you failed since a limit which "goes to infinity" is not equal to infinity, it simply doesn't converge.

Anonymous

Anonymous Wed 22 Apr 2020 13:07:04 No.11591183 Report

Quoted By: >>11591304 >>11595818

>>11590656
$\lim\limits_{k\rightarrow\infty} 1^k$ is a number, and that number is your IQ.

Anonymous

Anonymous Wed 22 Apr 2020 13:09:36 No.11591186 Report

Quoted By: >>11591310

>>11584695
>Name a number on R between .999... and 1.
0.(0)1

Anonymous

Anonymous Wed 22 Apr 2020 13:14:15 No.11591195 Report

Quoted By: >>11591366

>>11591178
very well, then
lets stick with that for now
in that case, if a limit is "infinity", then not all limits are numbers

Anonymous

Anonymous Wed 22 Apr 2020 14:00:55 No.11591304 Report

Quoted By:

>>11591183
$ \lim\limits_{k\rightarrow\infty} 1^k \neq 1^\infty $

Anonymous

Anonymous Wed 22 Apr 2020 14:01:41 No.11591306 Report

Quoted By:

I could do a similar graph to show the harmonic series is convergent

Anonymous

Anonymous Wed 22 Apr 2020 14:04:45 No.11591310 Report

Quoted By:

>>11591186
>1<0<1
lol

Anonymous

Anonymous Wed 22 Apr 2020 14:07:31 No.11591319 Report

Quoted By: >>11593419

>>11585294
>comparing a disease that has a cure to one that doesn't have one (yet)

Anonymous

Anonymous Wed 22 Apr 2020 14:26:14 No.11591352 Report

Quoted By: >>11591356 >>11591374

>>11591178
Maybe if you're still in highschool you would believe this nonsense, but in topology, limit points of a set aren't always inside of that set. The closure of R is R with {infty, -infty}.

Anonymous

View Same Google iqdb SauceNAO Dlr-vvzW0AAXxOR[1].jpg, 25KiB, 500x410

Anonymous Wed 22 Apr 2020 14:27:34 No.11591356 Report

Quoted By: >>11591371

>>11591352
*closure of R in R with {infty, -infty} is R with {infty, -infty}

Anonymous

Anonymous Wed 22 Apr 2020 14:31:50 No.11591366 Report

Quoted By:

>>11591195
>if a limit is "infinity", then not all limits are numbers
But that's still wrong, since infinity is a number. And a limit isn't infinity.

Anonymous

Anonymous Wed 22 Apr 2020 14:34:20 No.11591371 Report

Quoted By: >>11591441 >>11591607

>>11591356
KYS! While what you posted was not wrong, I meant what I wrote. The closure of R is the extended real numbers. https://mathworld.wolfram.com/AffinelyExtendedRealNumbers.html

Anonymous

Anonymous Wed 22 Apr 2020 14:34:26 No.11591374 Report

Quoted By: >>11591378

>>11591352
>limit point
Not a limit.

Anonymous

Anonymous Wed 22 Apr 2020 14:37:09 No.11591378 Report

Quoted By: >>11591607

>>11591374
Is in fact a limit.
https://proofwiki.org/wiki/Limit_Point_is_Limit_of_Convergent_Sequence
Feel free to travel back in time and give your mother a sloppy coat hanger abortion.

Anonymous

Anonymous Wed 22 Apr 2020 15:19:04 No.11591441 Report

Quoted By: >>11591602

>>11591371
>The closure of R is the extended real numbers
this doesn't make any sense until you say in what space you take the closure

Anonymous

Anonymous Wed 22 Apr 2020 16:29:56 No.11591602 Report

Quoted By:

>>11591441
true

Anonymous

Anonymous Wed 22 Apr 2020 16:31:03 No.11591607 Report

Quoted By:

>>11591371
>>11591378
You could just have said that a limit can be equal to inf in the extended reals with induced order topology. A limit point can only be inf when a limit being equal to inf is valid in the first place. Of course that begs the question of whether we are in that context.

Anonymous

Anonymous Wed 22 Apr 2020 20:54:10 No.11592370 Report

Quoted By: >>11593296 >>11593471 >>11593939

$Let \; x=0.999...$
$?10x=9.999...=(9+0.999...)=(9+x)$
$?9x=9$
Find the mistake

Anonymous

Anonymous Wed 22 Apr 2020 21:31:04 No.11592478 Report

Quoted By:

>>11589794
I'm agreeing with you.

Anonymous

View Same Google iqdb SauceNAO wut.jpg, 2KiB, 116x125

Anonymous Wed 22 Apr 2020 21:32:22 No.11592485 Report

Quoted By: >>11592854 >>11595818

>>11590656
>.999... isn't a number but a limit
What did you mean by this?

Anonymous

Anonymous Wed 22 Apr 2020 23:31:33 No.11592854 Report

Quoted By:

>>11592485
>What did you mean by this?
I'm retarded

Anonymous

Anonymous Thu 23 Apr 2020 01:23:33 No.11593203 Report

Quoted By:

>>11584695
Jesus Christ dude if you can't comprehend limits at an intuitive level just chop off your dick and eat it

Anonymous

Anonymous Thu 23 Apr 2020 01:51:59 No.11593296 Report

Quoted By: >>11593445 >>11593451

>>11592370
you're just being sloppy and losing track of the last 9s. Let me fix that
x = 0.999...99
therefore
10x = 9.999...9 = 9 + 0.999...9 = 9 + 0.999...99 - 0.000...09 = 9 + x - 0.000...09
note that I have shifted the 9 after the ...s over to the left because they now have come after only infinity - 1 9s.
therefore
9x = 9 - 0.000...09 = 8.999...91
divide by 9 and you get
x = 0.999...99

Anonymous

Anonymous Thu 23 Apr 2020 02:28:26 No.11593419 Report

Quoted By:

>>11591319
Do you know how many working vaccines have been created for coronaviruses?

Anonymous

Anonymous Thu 23 Apr 2020 02:35:30 No.11593445 Report

Quoted By: >>11593457

>>11593296
>the last 9s
There is no last 9.

Anonymous

Anonymous Thu 23 Apr 2020 02:36:32 No.11593451 Report

Quoted By: >>11593457

>>11593296
>infinity - 1
So infinity?

Anonymous

Anonymous Thu 23 Apr 2020 02:37:52 No.11593457 Report

Quoted By: >>11593580 >>11593583

>>11593445
manifestly incorrect
>>11593451
no, infinity - 1, hence why I wrote infinity - 1 and not infinity

Anonymous

Anonymous Thu 23 Apr 2020 02:42:46 No.11593471 Report

Quoted By:

>>11592370
Do you agree that .999 + .999 = 1.998?

Does .999... + .999... = 1.99..8 considering that the two infinity's are the same size since infinity's can have different sizes allegedly?

Anonymous

Anonymous Thu 23 Apr 2020 03:30:16 No.11593580 Report

Quoted By:

>>11593457
>manifestly incorrect
Why? That's what the ... means.

Anonymous

Anonymous Thu 23 Apr 2020 03:31:18 No.11593583 Report

Quoted By: >>11593678 >>11594726

>>11593457
>no, infinity - 1
which is just infinity

Anonymous

Anonymous Thu 23 Apr 2020 04:04:20 No.11593662 Report

Quoted By:

Here is a friendly reminder that people who subscribe to the notion of 0.999...= 1 are GOD CURSED SODOMITES and will burn in HELL

DEUS VULT!

Anonymous

Anonymous Thu 23 Apr 2020 04:09:25 No.11593678 Report

Quoted By: >>11593897 >>11593905

>>11593583

No, Knuckles, infinity - 1 is not infinity. Just think about it, you have removed one of something from an infinity of something, its logically inconsistent to think nothing has changed.

Anonymous

Anonymous Thu 23 Apr 2020 05:23:53 No.11593897 Report

Quoted By:

>>11593678
>nothing has changed
The number of things hasn't changed.

Anonymous

Anonymous Thu 23 Apr 2020 05:28:14 No.11593905 Report

Quoted By: >>11594910

>>11593678
https://www.wolframalpha.com/input/?i=inf-1

Anonymous

Anonymous Thu 23 Apr 2020 05:30:56 No.11593911 Report

Quoted By: >>11593916

but that means that 0.999...998 = 0.999...999
meaning ...98 = 1
and you can keep that going until 0=1

Anonymous

Anonymous Thu 23 Apr 2020 05:32:36 No.11593916 Report

Quoted By:

>>11593911
0.1=10^-1
0.01=10^-2
0.001=10^-3
:
0.0...1=10^-inf=0

anything after "..." is meaningless

Anonymous

View Same Google iqdb SauceNAO D98CE442-BD60-49EA-B793-F529BB4A (...).jpg, 34KiB, 566x358

Anonymous Thu 23 Apr 2020 05:35:02 No.11593922 Report

Quoted By: >>11593931

Let me simplify this for you
OP is a faggot, but not a complete faggot. Assuming that OP is 99.999... percent of faggotry, he is certainly very CLOSE to being a faggot, but is not absolutely a faggot. The more 9’s we add don’t change anything, and don’t make OP an absolute Faggot, but EXTREMELY EXTREMELY GAY. But, from OP’s perspective, since he is 99.999... percentage of a faggot, it may as well be implied that he is INDEED A FUCKING FAGGOT.

Anonymous

Anonymous Thu 23 Apr 2020 05:36:08 No.11593931 Report

Quoted By: >>11593966

>>11593922
>wall-of-text schizo

Anonymous

Anonymous Thu 23 Apr 2020 05:38:22 No.11593939 Report

Quoted By:

>>11592370
The mistake is this fucking thread

Anonymous

Anonymous Thu 23 Apr 2020 05:48:24 No.11593966 Report

Quoted By:

>>11593931
Fuck up bitch

Anonymous

Anonymous Thu 23 Apr 2020 05:48:26 No.11593967 Report

Quoted By:

>>11584695
(1+0.999...)/2

Anonymous

Anonymous Thu 23 Apr 2020 06:10:24 No.11594028 Report

Quoted By: >>11594792

>>11584695
The sureal number {0.999...|1}

Anonymous

Anonymous Thu 23 Apr 2020 06:23:54 No.11594056 Report

Quoted By:

>>11584695
What about $$ 1-\frac{1}{\omega}$$?

Anonymous

Anonymous Thu 23 Apr 2020 12:27:18 No.11594647 Report

Quoted By:

$ \begin{align} 0.(9) &= 0.9 + 0.09 + 0.009+\dots\\ &=\sum\limits_{k=1}^\infty \frac{9}{10^k} = 9 \sum\limits_{k=1}^\infty \frac{1}{10^k}\\ &= \frac{9}{10} \sum\limits_{k=0}^\infty \frac{1}{10^k}\\ &= \frac{9}{10} \times \frac{1}{1-\frac{1}{10}} = \frac{9}{10} \times \frac{1}{\frac{9}{10}}\\ &= 1 \end{align} $

Anonymous

Anonymous Thu 23 Apr 2020 12:57:16 No.11594726 Report

Quoted By: >>11594784 >>11594827

>>11593583
proposition: $\infty \neq \infty - 1$
proof: Assume the contrary. Then $\infty = \infty - 1$ cancelling $\infty$ either side yields
$0 = - 1$
which is clearly false. QED.

Anonymous

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Anonymous Thu 23 Apr 2020 13:20:33 No.11594762 Report

Quoted By:

>>11589325
cope

Anonymous

Anonymous Thu 23 Apr 2020 13:29:27 No.11594780 Report

Quoted By:

9 number uis not 1, what do you not undertant

Anonymous

Anonymous Thu 23 Apr 2020 13:31:10 No.11594784 Report

Quoted By: >>11594789 >>11595038

>>11594726
You have to define infinity first, which you have not done. For every accepted definition of infinity, what you wrote is false.

Anonymous

Anonymous Thu 23 Apr 2020 13:32:12 No.11594789 Report

Quoted By:

>>11594784
arithmetic on infinity*

Anonymous

Anonymous Thu 23 Apr 2020 13:33:58 No.11594792 Report

Quoted By:

>>11594028
>The surreal number {1|1}
Which is just 1, you idiot.

Anonymous

Anonymous Thu 23 Apr 2020 13:40:05 No.11594802 Report

Quoted By:

>>11584695
This is fucking dumb.

1 is clearly above 0.999.

Getting REALLY REALLY close makes it 1.

YEAH OK PAL!

Anonymous

Anonymous Thu 23 Apr 2020 13:54:48 No.11594827 Report

Quoted By:

>>11594726
>cancelling ?
can't do
inf-inf is undefined

Anonymous

Anonymous Thu 23 Apr 2020 13:57:24 No.11594834 Report

Quoted By: >>11594846 >>11594878 >>11594881 >>11594934

infinity is not a number on the number line.
if you map 1 to infinity in naturals between 0 to 1 in reals, then there is absolutely no sense of ordering to that mapped 0->1 range. moreover, because infinity is not a number and there are no numbers close to it, this property remains true for the mapped range between 0->1; that 1 is not a number in this mapped range, and there is no real number close to 1.

0.999... not only doesn't equal 1, it is also not even close to 1 relative to infinity.

if 0.999... equals 1, then necessarily there is a largest real natural number equal to infinity.
What is that number?

Anonymous

Anonymous Thu 23 Apr 2020 14:04:52 No.11594846 Report

Quoted By:

>>11594834
$1.7 * 10^{308}$

Anonymous

Anonymous Thu 23 Apr 2020 14:24:12 No.11594878 Report

Quoted By: >>11594896

>>11594834
>infinity is not a number
$ \overline{~~~\mathbb{R}~~~} ~~ \dot{_\infty} $

Anonymous

Anonymous Thu 23 Apr 2020 14:25:57 No.11594881 Report

Quoted By:

>>11594834
$ \overline{~~~\mathbb{R}~~~} ~~ \dot{\infty} $

Anonymous

Anonymous Thu 23 Apr 2020 14:30:54 No.11594896 Report

Quoted By: >>11594900 >>11594913

>>11594878

i hope you're not making the mistake of thinking infinity comes after the number line just because the number line is read from left to right .

you can write it like
$\dot{_\infty} ~~ \overline{~~~\mathbb{R}~~~}$
too.

Anonymous

Anonymous Thu 23 Apr 2020 14:33:07 No.11594900 Report

Quoted By: >>11594902

>>11594896
nah that's -inf

Anonymous

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Anonymous Thu 23 Apr 2020 14:33:35 No.11594902 Report

Quoted By:

>>11594900

Anonymous

Anonymous Thu 23 Apr 2020 14:35:42 No.11594907 Report

Quoted By:

>>11584741
clever, but this is circular reasoning

Anonymous

Anonymous Thu 23 Apr 2020 14:35:51 No.11594910 Report

Quoted By: >>11594918

>>11593905
That post has taken you a very special level of stupidity to make. A level of stupidity unmatched. There's stupid, then there's too stupid to know how stupid you are, but you have elevated stupidity to a whole new plane of existence. Ironically, this is almost something of a win, being that stupid is almost like an achievement. I am not sure whether or not you should be proud of being so stupid and bask in the glory of that fact, or whether you should run a very high voltage though your testicles so the chances of you reproducing is reduced to as near zero as possible. I will ponder this matter and let you know my conclusion.

Anonymous

Anonymous Thu 23 Apr 2020 14:36:46 No.11594913 Report

Quoted By: >>11594943

>>11594896
>infinity comes after
normal convention is right is larger (duh)
inf is greater than every real number

Anonymous

Anonymous Thu 23 Apr 2020 14:37:51 No.11594918 Report

Quoted By: >>11595255

>>11594910
>wall-of-text schizo

Anonymous

Anonymous Thu 23 Apr 2020 14:45:07 No.11594934 Report

Quoted By: >>11594949

>>11594834
>if you map 1 to infinity in naturals between 0 to 1 in reals,
This doesn't even make sense. How are you mapping 1 to infinity?
>then there is absolutely no sense of ordering to that mapped 0->1 range.
>moreover, because infinity is not a number and there are no numbers close to it, this property remains true for the mapped range between 0->1;
>1 is not a number in this mapped range, and there is no real number close to 1.
Literally none of this makes sense. It's impossible to even discuss this with you retards if you don't even know basic concepts and notation.
>if 0.999... equals 1, then necessarily there is a largest real natural number equal to infinity.
Complete non sequitur, and untrue.

Anonymous

Anonymous Thu 23 Apr 2020 14:47:29 No.11594943 Report

Quoted By: >>11594948

>>11594913
infinity isn't a number though. it has no relationship with the number line.
it isn't above it.
it isn't below it.
it isn't to the left of it.
it isn't to the right of it.

as a venn diagram, the circle surrounding all numbers does not overlap with the circle surrounding infinity.
they don't share anything in common.

Anonymous

Anonymous Thu 23 Apr 2020 14:50:19 No.11594948 Report

Quoted By: >>11594955

>>11594943
>no relationship
the definition says larger
normal convention is right is larger (duh)
so you're wrong

>kids these days

Anonymous

Anonymous Thu 23 Apr 2020 14:51:18 No.11594949 Report

Quoted By: >>11594965

>>11594934
feel free to learn anything before ever replying again.

Anonymous

Anonymous Thu 23 Apr 2020 14:52:46 No.11594955 Report

Quoted By: >>11594964

>>11594948
there is no conventional solitary definition of infinity.

Anonymous

Anonymous Thu 23 Apr 2020 14:54:55 No.11594964 Report

Quoted By: >>11594967

>>11594955
stop being a faggot

https://www.wolframalpha.com/input/?i=infinity
An unbounded quantity that is greater than every real number.

Anonymous

Anonymous Thu 23 Apr 2020 14:55:10 No.11594965 Report

Quoted By:

>>11594949
Literally kys faggot. None of what you wrote makes sense.

Anonymous

Anonymous Thu 23 Apr 2020 14:56:37 No.11594967 Report

Quoted By: >>11594970

>>11594964
We are talking about the set of real numbers here though. Infinity is not a real number, so in the context of real numbers, you cannot say that.

Anonymous

Anonymous Thu 23 Apr 2020 14:57:48 No.11594970 Report

Quoted By: >>11594975

>>11594967
lol, fight it out with WA

Anonymous

Anonymous Thu 23 Apr 2020 14:59:41 No.11594975 Report

Quoted By: >>11594978

>>11594970
None of what I said disagrees with WA. If you had half a brain, you'd know that.

Anonymous

Anonymous Thu 23 Apr 2020 15:00:57 No.11594978 Report

Quoted By:

>>11594975
ok sweetie

Anonymous

Anonymous Thu 23 Apr 2020 15:18:19 No.11595016 Report

Quoted By:

>>11591177
.99990 < .99999...

Anonymous

Anonymous Thu 23 Apr 2020 15:33:38 No.11595038 Report

Quoted By: >>11595071 >>11595084

>>11594784
>You have to define infinity first,
$\infty = 999...9$
where the 9s go on forever

Anonymous

Anonymous Thu 23 Apr 2020 15:42:25 No.11595071 Report

Quoted By: >>11595244

>>11595038
you have literally defined infinity as a string of symbols. fair enough, how do you arithmetics with infinity ?

Anonymous

Anonymous Thu 23 Apr 2020 15:46:10 No.11595084 Report

Quoted By: >>11595244

>>11595038
Does it terminate, or do the 9's go on forever? Because the number you wrote says that the 9's terminate, but then you wrote that they go on forever. Also, retard-tier definition. Provide a proper definition that is consistent and makes sense with the rest of math.

Anonymous

Anonymous Thu 23 Apr 2020 16:44:39 No.11595244 Report

Quoted By: >>11595361

>>11595084
it terminates after an infinite number of 9s
>>11595071
Multiplication by a real number a
$a \infty = a\times999...9$
addition
$a + \infty = 999...9+a$
division
$\infty/a = 999...9/a$
addition to another infinite number
$\infty + \infty = 18181818...1$

Anonymous

Anonymous Thu 23 Apr 2020 16:48:26 No.11595255 Report

Quoted By:

>>11594918
I see you trained as a bitch for a long time.

Anonymous

Anonymous Thu 23 Apr 2020 17:12:48 No.11595361 Report

Quoted By: >>11596043

>>11595244
>it terminates after an infinite number of 9s
Well that's a contradiction. Try to learn some basic math and read a dictionary, and then we can talk.

Anonymous

Anonymous Thu 23 Apr 2020 19:35:36 No.11595818 Report

Quoted By: >>11595846

I am >>11590656
>>11592485
As I said 0.999.. isn't a real number because it is not quantifiable, for example find a series of reals that converges to 0.999... you can't. The reason I said it's a limit is because for most of the time a limit approximates a real number but only becomes it's limit when it reaches a given point. I failed to make the distinction between limit the expression and limit the value.
>>11590665
I don't understand how this refutes my statement that 0.999.... isn't a number same with 0.123123123...
>>11591183
1^/infty is undefined faggot
>>11592485
As stated above 0.999... is just a representation of a series of numbers that tend to 1 without ever equaling it.True a limit is a numeber

Anonymous

Anonymous Thu 23 Apr 2020 19:41:48 No.11595846 Report

Quoted By:

>>11595818
>As stated above 0.999... is just a representation of a series of numbers that tend to 1 without ever equaling it
this is just not true, but it's only semantics
0.999... does not denote the series
0.999... denotes the sum of the series, i.e. the limit of the sequence of partial sums

Anonymous

Anonymous Thu 23 Apr 2020 19:44:51 No.11595853 Report

Quoted By:

OP here. Why the FUCK are you faggots still arguing 250 posts later after I already gave the definitive proof? Tired of seeing this thread and still no counterexample. Dilate and die, .999... != 1 brainlets.

Anonymous

Anonymous Thu 23 Apr 2020 20:14:36 No.11596043 Report

Quoted By:

>>11595361
Wow. Just because you're not as good as maths as me doesn't mean you have to be so salty.

Anonymous

Anonymous Thu 23 Apr 2020 20:18:31 No.11596054 Report

Quoted By:

>>11585291
>largest number that is less than 1
The set of the real numbers is dense, so this doesn't make any sense.

Anonymous

Anonymous Thu 23 Apr 2020 20:21:19 No.11596061 Report

Quoted By:

>>11585291
>the largest number that is less than 1
>The virus is no more deadly than influenza
>(((CDC)))
this guy has a 200+ IQ

Anonymous

Anonymous Thu 23 Apr 2020 21:50:17 No.11596264 Report

Quoted By:

OP proves he is a faggot everyday and this thread is evidence.

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