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/sci/ - Science & Math

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File: 15 KB, 638x451, 0999-equal-to-1-or-0999-smaller-than-1-1-638.jpg [View same] [iqdb] [saucenao] [google]
9758753 No.9758753 [Reply] [Original]

https://www.strawpoll.me/15745389/

>> No.9758765

0.99999...~1

>> No.9758782

>>9758753
whoa, so /sci/ isn't actually filled with complete retards, unexpected

>> No.9758784

>>9758753
Virgin Cauchy vs Chad Nonstandard Analysis

>> No.9758829

>>9758753
There's no number between 0.999... and 1, therefore they must be equal.

>> No.9758844

>>9758753
>pick an random integer
>all integers have an equal chance of being chosen
>0*∞=100%
>Therefore if 0.99999...=1, 1-0.99999...=0, so each number has a 0% chance of being chosen
>a random number is chosen that supposedly has a 0% chance of being chosen
>contradiction

>> No.9758848
File: 18 KB, 550x543, 1526540362115.png [View same] [iqdb] [saucenao] [google]
9758848

>>9758753
Actually 0.99999999 > 1

>> No.9758850

>>9758844
infinity isn't a number, brainlet.

>> No.9758873

>>9758829
Theres no number between 1 and 2 therefore they must be equal

>> No.9758876

There is no value between an arbitrary real number and infinity therefore infinity must be equal to an arbitrary real number.

>> No.9758920

>>9758753
Depends if we use real or surreal numbers.

>> No.9758938

>>9758873
There is 1.5.
Unless you talk about integers, which do not form dense linear order.

>> No.9758944

>>9758873
It's sad that at this point and looking at the results of the poll, I can't tell if you're trolling or not

>> No.9759018

>>9758844
In probability theory there is actually difference between having 0% probablity and impossible.

>> No.9759051

>>9758876
n+1 is between n and infinity.

>> No.9759072

0.999... = 1 in real number system, 0.999... != 1 in hyperreal number system. the reason of using real than any other number system, is nothing more than preserving completeness to preserve good theories in analysis/complex analysis/function analysis...

>> No.9759461

>>9758753
The first claim is true by definition.

>>9758844
>>0*∞=100%
This hurts to look at.

>> No.9759493

>>9759072
Infinity is not an aspect of the real number system, so there cannot exist an infinite repeating decimal in the real number system. Sorry.
0.999... has a built in arbitrary finite limit of accuracy that totally allows for a smallest 0.000...1 part to exist

>> No.9759499

>>9758938
Oh i didn't realize we were talking about numbers that come between other numbers.

Of course that means there exists a 0.999.... with at least one more 9 than 0.999.... which could come before 1.
I mean if you want to validate infinity like the desperate shiteater you likely are, we could just say there are an infinite amount of these 0.999... values of ever increasing length. There are as many real numbers between 0.999... and 1 as there are between 0 and 1. There are as many real numbers between 0.999... and 1 as there are integers between 0 and infinity.

Stupid brainlet, you can't fathom infinity.

>> No.9759502

>>9759493
>Infinity is not an aspect of the real number system
Wrong, real numbers are constructed as infinite sets.

>> No.9759504

>>9759493
This is quite wrong. There are no infinitely large numbers in the real numbers, but there ARE infinite decimal expansions. There are no accuracy limits in the real numbers, accuracy can keep extend indefinitely.

>> No.9759509
File: 112 KB, 953x613, 0.999999....jpg [View same] [iqdb] [saucenao] [google]
9759509

Fuck off retard, stop spamming this thread. You are worse than IQ posters.

>> No.9759510

>>9759504
>>9759502

Fucking retards.

The reals extend indefinitely too. It doesnt mean infinity is counted within the reals.

Jesus christ use your fucking brain.

>> No.9759514
File: 7 KB, 233x250, 1526961671180.jpg [View same] [iqdb] [saucenao] [google]
9759514

>>9759509
> x = 0.9
> 10x = 9.9
> 10x-x = 9
> 9x = 9
> x = 1
> 0.9 = 1

>> No.9759515

>>9758829
there's no number between 0.999...8 and 0.999

>> No.9759516

>>9759510
Are you fucking illiterate? Both posts say nothing to the contrary.

>> No.9759522

>>9759516
ARE YOU A MONGOLOID?
BOTH POSTS SAY AN INFINITE DECIMAL CAN EXIST, BUT AN INFINITE INTEGER CANNOT, USING THE SOLE REASONING THAT A DECIMAL EXTENDS INDEFINITELY; MEANWHILE THE REALS EXTEND INDEFINITELY.

THERE IS NO INFINITE INTEGER
THERE IS NO INFINITE DECIMAL

JUMP OFF A ROOF AND BREAK YOUR LEGS NIGGER.

>> No.9759526
File: 76 KB, 703x911, potatolet.png [View same] [iqdb] [saucenao] [google]
9759526

>>9759514
>x = 0.9
>10x = 9.9

>> No.9759528
File: 16 KB, 498x467, 1512340128839.png [View same] [iqdb] [saucenao] [google]
9759528

>>9759526
>x = 0.999...
>10x = 9.999...

>> No.9759539

>>9759526
I think he was making fun of the "proof" in that pic
it claims
x = 0.999...
10x = 9.999...

it's essentially the same debate in a different scope, but if x + 1/∞ = 10 then you'd have to say 10x + 10/∞ = 10

0.999 * 10 hypothetically could be considered 9.999...0

>> No.9759542

>>9759539
*x + 1/∞ = 1
sorry

>> No.9759549

>>9759539
Good old digit after infinite amount of digits before it.

>> No.9759579

>>9759549
yeah but the proof in that pic assumes an infinitesimal number can be multiplied in the first place
it's essentially equal to saying 0.999... - 1 = 0 thus they're equal

really, this argument is just one of many paradoxes you can make by trying to bridge the gap between finite and infinite

>> No.9759602

>>9759549
Ironic when x= 0.999...9 in order to get 10x = 0.999...

mathlets.

>> No.9759636

>>9759602
>Ironic when x= 0.999...9
This was never stated anywhere outside of your ill head.

>> No.9759867
File: 194 KB, 591x462, 1523871650315.png [View same] [iqdb] [saucenao] [google]
9759867

>>9759636
Then 10x doesn't equal 9.999....

>> No.9761065

>>9758850
4U

>> No.9761102

>>9759499
>there exists a 0.999.... with at least one more 9
You're retarded.
>There are as many real numbers between 0.999... and 1 as there are between 0 and 1. >There are as many real numbers between 0.999... and 1 as there are integers between 0 and infinity.
>[math]\aleph_0 = 2^{\aleph_0}[/math]
You're retarded and should unironically kill yourself.

>> No.9761111

>this retard again
It stopped being amusing two threads ago, come up with something new

>> No.9761328

>>9759515
> there's no number between 0.999...8 and 0.999
You are abusing the ellipsis notation.
All digits after "9..." are 9, unless you specify a specific finite span of those digits, in which case " 0.999...8" is finite and terminates, and if you then take the average of a terminating real and 1, then yes, you would find a value between them, but just mentioning a "9...8" is non-sequitur.