PI IS EXACTLY 3.2 ..mathematicians collectively gasp

Llama said:
yes, it is.

.9 recurring implies there is an infinitely small difference. Since it is infinitely small, it is zero.

The fact our system of using numbers does not work does not mean that 0.99... does not equal 1

1 / 3 = 0.333...

x3

= 3/3 = 0.999...

Since 3/3 = 1, 0.9... therefore must = 1

How can people not get this?

We use things like fractions and symbols because if we used numbers it just would not work. It's saying that Pi does not equal 3.14...

Anyway, off to school for me.
Click to expand...

Does an asymptote ever reach 0?
 
*facepalms*

Knowledge in one part of a subject does not cancel out lack of knowledge in another.

Though If you have an actual proof that 3/3 =/= 1, please show me.
 
Llama said:
*facepalms*

Knowledge in one part of a subject does not cancel out lack of knowledge in another.

Though If you have an actual proof that 3/3 =/= 1, please show me.
Click to expand...

I give... your right.
 
Acepilotf14 said:
But .99.. is a completely different number than 1.0. So, obviously, they are NOT the same number, as .99 is NOT 1. If it were one, it would be.. well..
1.
Even if you were too, say, run a mile and get 9 minutes, 59 seconds, and 59 milliseconds, and it goes on forever.
If you were aiming for 10, this is hypothetical, by the way, you did not get 10. No matter how close you got, if you didn't get to 10 or 1, it is not so. Logic, Watson! LOGIC!

P.s. It seems you and I disagree on everything, Numbers.
Click to expand...

Mathematically, you did get 10.

Infitesimal = 0


p.s. There should be something we agree on :/ What is your stance on HL2?
 
With my fancy fractions, .99... is mathematically proven to be 1.

But whatever. Who gives.
 
So "Mu Rho" = 1?

Also .999 recurring infinitely is exactly equal to 1, by a very simple geometric series argument among other proofs. If you disagree, you can take it up with Newton's ghost and the rest of the mathematics community.
 
Jintor said:
With my fancy fractions, .99... is mathematically proven to be 1.

But whatever. Who gives.
Click to expand...
It's quite easy though. Let's take the infinitely repeating number as x.

x = 0.99...

Multiplied by ten:

10 * x = 9.99..

So, we distract the first from the second:

9 * x = 9

Conclusion? x equals one. This is basic math.
 
Insano said:
So, we distract the first from the second:
Click to expand...

"Quick! 10! Look behind you, an irrational number!"
"WHERE?!"
"Huh, guess it was just imaginary."

If anybody doesn't understand this problem then it's because they cannot fathom the nature of infinity.
 
Heh, we were making those kind of jokes after our Algebra exam last week.

"Man, I got at least an 18 on that exam."
"Keep on dreaming, and how much on the real part?"
 
How do you recognise an extrovert mathematician?

He stares at your shoes when he's talking to you
 
You know the forum is declining when people don't know what 0.999... equals!
 
Krynn72 said:
In after .99 = 1

Seems that some Senators need to go back to elementary school.

I posted Pi to 36,000 places once... but I got banned for it :(.
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lol I was there for that. You insisted on outdoing me in posting pi. Wasn't the thread originally about whether porn was good? Lol 2nd post declined the original topic about porn and started talking about pie. Then I posted 3.14, and it went from there.
 
Narvi said:
Steven = Lame.

Prove me wrong.
Click to expand...

Well, if we take the hypotenuse hypothesis of the testicular trainwreck, and multiply it by a slice of apple pi, then add the square root of the pinky digit, then...







wait.








No... no! This can't be true! My notes! My life's work! All worthless! Gone! Down the tubes! Steven is lame! *burns*
 
Llama said:
yes, it is.

.9 recurring implies there is an infinitely small difference. Since it is infinitely small, it is zero.

The fact our system of using numbers does not work does not mean that 0.99... does not equal 1

1 / 3 = 0.333...

x3

= 3/3 = 0.999...

Since 3/3 = 1, 0.9... therefore must = 1

How can people not get this?

We use things like fractions and symbols because if we used numbers it just would not work. It's saying that Pi does not equal 3.14...

Anyway, off to school for me.
Click to expand...

Ah of course, I forgot the whole recurring thing. *kicks self*
 
1/3 = .333...
2/3 = .666...
3/3 = .999...

EDIT: Beaten to it.
 
Insano said:
It's quite easy though. Let's take the infinitely repeating number as x.

x = 0.99...

Multiplied by ten:

10 * x = 9.99..

So, we distract the first from the second:

9 * x = 9

Conclusion? x equals one. This is basic math.
Click to expand...

I know that. That's what I said.
 
The problem you had steve is that Pi is a constant. You can't prove it is what it is- Pi is just an easy way of saying a certain number, which happens to be 3.14...
 
Big difference between .99 and 1
Since they can be considered percentages :|
 
Insano said:
Did I disagree with you anywhere in my post? I just gave the proof to prevent future arguments about it.
Click to expand...

And I was just saying that I already knew it. We're square. D:
 
riomhaire said:
Reference to the old 0.999999999999999999999999999999... = 1 debate on the forum here.
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But this does make the point very nicely that math isn't up for debate. It doesn't matter how much you believe or how many people are convinced that "pi = 3.2" or ".9999(repeating) < 1". It's still false, plain and simple.
 
Three easiest proofs, if anyone's so bothered to enter the wiki-entry.
1:

1/3 = 0.333....

By multiple each side by 3,
3/3 = 0.999...

Everyone know 3/3 =1
0.999... = 1

2:

Let 0.9999... be X

10X = 9.9999....
10X - X = 9.999.... - 0.999...
9X = 9
X = 1
0.999... = 1

3:

0.999... is an infinite geometric sequence that can be expressed as:
0.9 + 0.9*0.1 + 0.9*0.01 + ... + 0.9*(0.1)^n

Geometric sum of the series = (0.9)*(1-0.1^(n+1))/(1-0.1)
When n tends to infinity, 0.9^n = 0 since 1>0.1>-1

(0.9)*(1-0)/(1-0.1)
= 0.9/0.9
=1


These are three elementary proofs, showing 0.999..=1
If you were to insist on 0.999...=/= 1, you must disproof the all three aforementioned proofs, or at least shows where the critical mistake lay on the proof. If you cannot do so, then truly 0.9999... = 1. Your blind perseverance on what "0.999... =1 is round off only" or "there is a gap between the two numbers" are WRONG and BULLSHIT. Those are merely your blind faith, falsified. The very fact is 0.999... = 1, contrary to the faith you hold in the presence.

I must say you'd better not try to attempt to disprove the three proofs since they are only elementary mathematics. It is constructed for thousands of years. It had undergone billions of scientific trials and close scrutinies. And millions of people of IQ ten times higher than you had attempted to disproof it. But they all showed that the above proofs are correct. They are immovable fundamental logic of both mathematics and the nature around us. They are always correct. Thank you for your attention.
 
riomhaire said:
Reference to the old 0.999999999999999999999999999999... = 1 debate on the forum here.
Click to expand...

But this does make the point very nicely that math isn't up for debate. It doesn't matter how much you believe or how many people are convinced that "pi = 3.2" or ".9999(repeating) < 1". It's still false, plain and simple.

edit: Oh god, I posted that before I realized that this was all starting again. Okay, I'll say what I have to say.

FACT : .999(repeating) = 1.0

The problem is that the abstract concept of "a number" is not perfectly captured in how it's written. Obvious example: " 1/2 = .5 ". It doesn't matter that they're not written the same way, they're still equal. The notation just tells us some way to get to the number we want.

Standard decimal notation means we sum each digit times its place value:
123.4 = 1 * 10^2 + 2 * 10^1 + 3 * 10^0 + 4 * 10^-1 , by the definition of the notation.

Similarly,
1.0 = 1 * 10^0 + 0 * 10^-1

(= 1*1 + 0*.1 = 1 + 0 = 1)

and
0.99(repeating) = 0 * 10^0 + 9 * 10^-1 + 9 * 10^-2 + ... = 0 + sum( 9 * 10^(-n), n=1...infinity) )

Now here's where people get screwed up. That infinite sum is just one number, but the way you find that number by taking the number that an infinitely long list of numbers gets arbitrarily close to. In this case, that list is:

.9
.99
.999
.9999
.99999
.999999
etc... (infinitely long...)

All of which are less than 1. But that's a sequence of numbers, and we're trying to find just one number: the "limit", the number that that sequence gets arbitrarily close to. "Arbitrarily close" means if we go far enough out in the sequence, we'll be within 1/1000, or within 1/1000000, or within any distance no matter how small, of our "limit". And the only number like that for that sequence is 1.

So, basically, .999(repeating) is a single number, not a sequence of numbers. To find what that one number is, you use a sequence of numbers, but the sequence itself is not the end of figuring out what .999(repeating) equals.

It makes no sense to say that 1.0 is the "limit of" .999(repeating) or that .999(repeating) "approaches" or "gets close to" 1.0 , since .999(repeating) is just one number. That's like saying 2.0 "approaches" something. .999(repeating) can't ever "get close to" any other number. Numbers don't move. If there is no distance between two numbers, they are equal.
 
I think the main problem here is that people don't understand what "repeating" means.
 
I think the main problem here is that people don't understand what "repeating" means.
 
Steven said:
In during people trying to comprehend infinity.
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I've always held that infinity is actually pretty easy. Extremely big numbers can drive you insane, though.

The entire concept of infinity is that it's bigger than anything you can give it.

Kid: Is infinity bigger than a hundred?
Dad: Yes.
Kid: Is it bigger than a million?
Dad: Yes.
Kid: Is it bigger than a million bajillion kazillion?
Dad: Yes.

That's pretty much the whole thing.

When talking about "infinite sequences" that becomes:

Kid: Can you give me the first hundred element of the sequence?
Dad: Yes, here they are, and there's more.
...

When talking about a function "approaching infinity" (say, as x approaches zero):

Kid: Does x being near zero mean the function is bigger than a hundred?
Dad: Yes.
Kid: Does x being even nearer zero mean the function is bigger than a million?
Dad: Yes.
...

Infinity is just the concept of "it's guaranteed to be bigger than any number you want to compare it with."

By "big numbers can drive you insane", I mean really big numbers. Inconceivably bigger than a googolplex. Numbers so big that they need their own notation because standard notations still take up too much space to write then down.

Decimal notation (1234) takes up way too much space.

Scientific notation (10^1234) would still take up too much space.

Stacked exponents (10^10^10^10^10^10) would still take up way too much space to talk about these numbers.

And even making a new symbol to say how big your stack of exponents is (like defining 10^^6 = 10^10^10^10^10^10) and then trying to stack those (10^^10^^10^^10^^10^^10), would take up too much space.

Then calling "^" "^(1)" and "^^" "^(2)" and in general defining "^(n)" to be a stack of n-1 "^(n-1)" operations, it still takes up too much space to talk about these really big numbers.

Trying to imagine a 1 x (infinity) rectangle is easy: it's just 2 parallel lines. Imagining a 1 x (really big but finite) is pretty much impossible to comprehend all at once. You can know what each end must look like, and what all the space in the middle looks like, but to actually try to grasp how long it is relative to how tall it is is maddening.
 
I'm pretty sure I had a good grasp of the idea of infinity before you posted that. :p
 
No, pi equals seven! Why can't it be seven?! *cries*
 
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