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/sci/ - Science & Math

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12244252 No.12244252[DELETED]  [Reply] [Original]

>0.99999 is the same thing as 1 because 1 is the soup of the set containing 0.9, 0.99,...
>what do you mean this isn't rigorous and i cant just group an infinite amount of numbers together??? I just did!

>> No.12244257

do you think she has good “head game” with that great gayping maw of hers?

>> No.12244345

>>12244252
Are you the guy who told me you don't believe in thirds?

Do you believe in equilateral triangle?

>> No.12244352

>>12244252
>this isn't rigorous
please explain why. of course it can be made rigorous.

>> No.12244362
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12244362

>>12244345
>3 equal sides
>let's put them alongside one another and then try to infinitely measure them as parts of 1 line we say is equal to them all
>we totally cant but let's just say .3333... is the same thing as 1/3 because reasons

>> No.12244367

>>12244362
>we totally cant
why not?
is your point just that numbers do not exist to infinite precision, only to an error?

>> No.12244374

>>12244362
>be in a different base
>do division
>infinite decimal representation
division is bull shit
rational numbers are based on infinity bullshit.

>> No.12244395

>>12244252
Two proofs:

Via Cauchy sequences:

0.999... = (0.9, 0.99, 0.999,...) = lim as n-> inf of 1-1/10^n = 1

Via Dedekind cuts:

Assume to contradiction that x is a rational number such that

0.999... < x < 1

0.999... is greater than any finite string of 9s so for any natural number n

1-1/10^n < 0.999... < x < 1

1-x < 1/10^n

10^n < 1/(1-x)

n < log(1/(1-x))

Let n = ceiling(log(1/(1-x)))+1

ceiling(log(1/(1-x)))+1 < log(1/(1-x))

This is a contradiction, so x does not exist and 0.999... = 1.

>> No.12244405
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12244405

>>12244395
>...And I proved it with a limit!

>> No.12244416

>>12244362
no i'm pretty sure you said that you can't divide anything into equal thirds "even in theory". So since all the sides are one third of the perimeter, and all the angles are one third of the 180. You don't believe in equilateral triangle?

>> No.12244419

>>12244405
Not an argument, you lose.

>> No.12244420
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12244420

>>12244416
>everyone who posts basedjak is the same

>> No.12244425

>>12244419
Limits aren't real

>> No.12244429
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12244429

>>12244419
>Not an argument
>limits
>Cauchy sequences
>"proof" by contradiction

>> No.12244435

>>12244425
1 is not real?

>>12244429
No argument, you lose again.

>> No.12244446

>>12244420
Ok, it totally wasn't you, I believe you. So we can divide things into thirds? Just making sure.

>> No.12244451

>>12244435
One is real, the other one is fake

>> No.12244452

>>12244435
>Dont agree with my faulty reasoning?
>heh, let me just introduce some axioms of impossible things that say I win better luck next time

>> No.12244486

>>12244451
So limits are real.

>> No.12244494

>>12244252
1/inf=0

>> No.12244495

>>12244452
It appears you agree since you have failed to argue against it three times.

>> No.12244497

>>12244495
Ok trolling aside are you autistic or reverse trolling? I cant tell desu

>> No.12244498

>>12244497
Thank you for agreeing that 0.999... = 1

>> No.12244501

>>12244498
So I take it you are autistic?

>> No.12244504

>>12244501
See >>12244498

>> No.12244507

>>12244504
See>>12244501

>> No.12244518

>>12244507
See >>12244504

>> No.12244521

>>12244252
>I'm too stupid to understand how math actually works, so I'll post a wojak meme to make fun of people who know better than me on this subject.
Truly OP is the greatest debater of our era.

>> No.12244528

>>12244486
.9999999999999999999999999999999999999999999........
Is fake. One is real. One ends one doesn't. How does something not end

>> No.12244585

>>12244252
1/9 = 0.111...
+
8/9 = 0.888...
=
9/9 = 0.999...

>> No.12244649

>>12244528
One isn't real either. Show me a one. You can find one of something. But you can't just find a "one". It's not real.

>> No.12244742

https://www.youtube.com/watch?v=r5DHquP1HWU

>> No.12244972

>>12244649
You need to watch more sesamy street

1

>> No.12244974

>>12244649
>category theory

>> No.12244977

>>12244972
that's a symbol we made up to represent the idea, it's not the number itself

>> No.12244994

>>12244972
Those are some pixels.

>> No.12245042

>>12244425
Decimal notation presupposes limits. If you don't like limits, you should avoid notations like "0.999...".

>> No.12245045

>>12244252
>sci tries to wrap their head around significant figures, the thread

>> No.12245048

>>12245042
I can't I am a stem major :(. The aether is real btw. I believe