Now that we've established that 0.999....=1

Now that we've established that 0.999....=1,
is 0.555... = 0.6?

No, its 0.55555...6

.555... = 5/9

I guess 0.5999999... = 0.6

I don't think I trust math though.

It's not the repeating numbers that make .999... equal to one; it's the fact that no number can be put between the two notations of the same number. Between .555... and 6, one could put infinitely many numbers, such as .56 or .566. You get the idea. Now, .5999... would equal .6 for the same reason.

[math]
0.\bar{1}_{2}=1
[/math]

0.555... < 0.56 < 0.6
QED

Only if you're a physicist.

Then it equals 1

so 1=2 in the set of integers because there's no number that exists between them?

THIS IS JUST NONSENSE

0.999... IS NOT EVEN AN ACTUAL NUMBER. IT'S JUST FANTASY FOR MATHEMATICIANS. INFINITY DOESN'T EXIST IN THE REAL WORLD AND MATH IS CORRUPTED FOR ACCEPTING THE INFINITY AXIOM

No, because that rule applies to reals only. The real number line has 0 holes.

How can math be real if our eyes aren't real?

works in rationals also ?

THE REAL NUMBER LINE IS A FALLACY

If you find two rationals p and q such that there is no rational between them, then p = q
If p =/= q, then (p+q)/2 lies between them

FUCK you idiots need to learn real analysis before you say it doesn't exist.

>no number can be put between the two notations of the same number.

that's begging the question. besides, if someone believes that .999...

Yes because they're dense. Take a smallest non zero rational p/q. p/2q is smaller, and rational.

>that's begging the question

No it follows directly from the axioms of elementary number theory.

> if someone believes that .999...

Fuck can you even math? Fuck.

>FUCK you idiots need to learn real analysis before you say it doesn't exist.

Such a bullshit argument. When you read a real analysis text book what do you find?

>COMPLETENESS
>NESTED INTERVAL PROPERTY
>BOLZANO WEIERSTRASS
>CAUCHY CONVERGENCE THEOREM

What a crock of shit. You don't read real analysis to learn what the correct mathematics is, you learn real analysis to get brain washed into believing the numerical black magic that (((they))) arbitrarily chose to be correct.

If you ask an analyst why do we really need a complete metric space all they will do is point you to their real analysis 2 textbook. What does that textbook do? Introduce more topology and generalize harder until you reach a point where the magical symbol manipulation is so dense that you don't even remember what the point it of all it was. You came in wanting to understand the number line, and you ended drowning yourself in a swamp of bullshit. That's the way of the analysts today. Just make it more abstract until no one can even notice the cracks.

>cracks
Where are the cracks?

I think metric spaces are a very intuitive concept.

>uses (((they)))
he's a pol/tard, ingnore him

there is literally nothing wrong with browsing /pol/

Just because you are too stupid doesn't mean the concepts and ideas are bullshit. Just because the number line "looks" simple, doesn't mean it is trivial to understand.

there's nothing wrong with eating shit either

but both will make you ill, smelly, and repulsive

Stay in your thread please

>(((they)))
Jews? Or some nondenominational math cabal

Yes, you've got it right. Also 3.14159626535... = 3, which of course equals 2. You also need to understand that x = y and that a cube is actually a sphere. From this follows that an engineer is a liberal arts major. What this all comes down to is that Hitler did nothing wrong.

>it's the fact that no number can be put between the two notations of the same number.

This is retarded.

How many numbers can you put between 2, 4/2, 2^1 and binary 10?

>Now that we've established that 0.999....=1,
No, we established that it's not. It's just an estimation for the sake of application. Please read the archives

>No, we established that it's not. It's just an estimation for the sake of application.
Who the hell is we? I certainly establish it as exactly 1.