lol...check out the front-page article on wikipedia

[mordantmonkey]

Originally posted by: jagec

Originally posted by: mordantmonkey
dude, the plane won't take off. yeah the engines move atmosphere, but there is plenty of air to go around for the air around the wings to be relatively still.

how can i disagree with wiki on this but still realize that .999... = 1?

It's a poorly written article, but the plane takes off. In order to keep it from taking off, the treadmill must somehow exert an equal and opposite force on the BODY of the plane to counteract the engines. However, it is only able to act on the wheels, which will simply spin around merrily as the plane taxis forward and takes off.

Yeah, i think i just read the question wrong, in that the conveyor belt spins as fast as necessary in order to keep the plane body motionless. now if they were frictionless wheels it would be impossible to for the conveyor belt to keep the body motionless.
however if they were regular wheels (with internal friction) and it was a conveyor belt capable of insane speed then it could actually keep the plane from moving or taking off.

 

[thesurge]

Originally posted by: Injury

Originally posted by: Howard

Originally posted by: linkgoron

Originally posted by: Cawchy87
I remember this proof:

1/3 = .3333...

2/3 = .6666...

1/3 + 2/3 = 3/3 = 1

.3333... + .6666... = .9999... = 1

Originally posted by: johneetrash
cripes, i havent been on this board in yeaaaaaaaaaaars and the first thread i look at is an old thread i remember

lol, I was thinking the same thing

That is not a proof. using rounded numbers won't get you anywhere.

What rounded numbers?

I think he means "truncated".

In any case, I don't care what anyone says, in my world, .999!=1.

If .9999=1, then it would also imply that: .9999...8 = .9999...9
if that is true, then .999...7 = .9999...8, and so on...

therefore, in the scale of infinity, all numbers are equal.

Well .999 != 1 but .999...=1.

Learn about:
http://en.wikipedia.org/wiki/Archimedean_property
http://en.wikipedia.org/wiki/Archimedean_group
http://en.wikipedia.org/wiki/Real_field#Generalizations_and_extensions

Most people fail to see that there is no debate/dispute. The real field (due to it being Archimedian) is defined to have no quantifiable infitesimals (http://en.wikipedia.org/wiki/Infinitesimals.

 

[imported_goku]

Originally posted by: jagec

Originally posted by: mordantmonkey
dude, the plane won't take off. yeah the engines move atmosphere, but there is plenty of air to go around for the air around the wings to be relatively still.

how can i disagree with wiki on this but still realize that .999... = 1?

It's a poorly written article, but the plane takes off. In order to keep it from taking off, the treadmill must somehow exert an equal and opposite force on the BODY of the plane to counteract the engines. However, it is only able to act on the wheels, which will simply spin around merrily as the plane taxis forward and takes off.

Excellent explanation. Put THAT on wikipedia.

 

[The Green Bean]

Originally posted by: jbourne77

Originally posted by: The Green Bean
.99999...is not eual to one. Its 1 - 0.000000000......1

Sadly, dumb people will never realize that mere earthlings will NEVER be able to grasp the concept of infinity.

Speaking of dumb people, dumbass, "0.000000000......1" is not even a number. It's no more a number than 1.0.0.03.0.3.dkx.33.Qfuck.03 is a number. It's just an arbitrary arrangement of characters that you've thrown together in a vein attempt to make others look less intelligent than yourself, when in fact, you've proven - quite well, I might add - just the opposite.

The "1" never comes into play. You've already stated there is an infinite number of 0's and, as such, you've already defined 0 for the place value wherever which you think 1 resides. Infinity is forever. You don't just waltz to the end of it and slap a 1 on for good measure.

In short, 0.000... is ALWAYS, without question, ZERO.
0.000...x is ALWAYS, without question, GIBBERISH.

Twit.

Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

 

[jjzelinski]

I guess I must be one of the lesser mortals here because it doesn't seem logical that a a plane would take off without movement. The engine is not what provides lift, it provides propulsion. Lift is provided by the shape and surface area of the wings. So regardless of how hard the engines are thrusting and how fast the conveyor moves, as long as the argument is that the plane itself remains static in space there will be no lift (unless the angle of the turbines are enough to lift the plane off the conveyor by themselves similar to a harrier jet, but that angle would obviously have to be quite severe and therefor impracticle to talk about in this argument.)

Again, this is just my take on it. If I'm wrong I'd really appreciate an explanation without insults, I'm genuinely curious.

Thanks

 

[jjzelinski]

Originally posted by: goku

Originally posted by: jagec

Originally posted by: mordantmonkey
dude, the plane won't take off. yeah the engines move atmosphere, but there is plenty of air to go around for the air around the wings to be relatively still.

how can i disagree with wiki on this but still realize that .999... = 1?

It's a poorly written article, but the plane takes off. In order to keep it from taking off, the treadmill must somehow exert an equal and opposite force on the BODY of the plane to counteract the engines. However, it is only able to act on the wheels, which will simply spin around merrily as the plane taxis forward and takes off.

Excellent explanation. Put THAT on wikipedia.

Ok, so the wheels permit movment relative to atmosphere that is independant of the conveyor. Coo

 

[Injury]

Originally posted by: thesurge

Originally posted by: Injury

Originally posted by: Howard

Originally posted by: linkgoron

Originally posted by: Cawchy87
I remember this proof:

1/3 = .3333...

2/3 = .6666...

1/3 + 2/3 = 3/3 = 1

.3333... + .6666... = .9999... = 1

Originally posted by: johneetrash
cripes, i havent been on this board in yeaaaaaaaaaaars and the first thread i look at is an old thread i remember

lol, I was thinking the same thing

That is not a proof. using rounded numbers won't get you anywhere.

What rounded numbers?

I think he means "truncated".

In any case, I don't care what anyone says, in my world, .999!=1.

If .9999=1, then it would also imply that: .9999...8 = .9999...9
if that is true, then .999...7 = .9999...8, and so on...

therefore, in the scale of infinity, all numbers are equal.

Well .999 != 1 but .999...=1.

Learn about:
http://en.wikipedia.org/wiki/Archimedean_property
http://en.wikipedia.org/wiki/Archimedean_group
http://en.wikipedia.org/wiki/Real_field#Generalizations_and_extensions

Most people fail to see that there is no debate/dispute. The real field (due to it being Archimedian) is defined to have no quantifiable infitesimals (http://en.wikipedia.org/wiki/Infinitesimals).

Oh I get it... the how and the why and all...

It's just that I'd like to think that I have to big of an imagination to think that it could be so simplified like that. It's a personal thing. Not a "I'm trying to have big smart balls and prove mathemeticians wrong" thing.

I failed calculus FFS. Twice.

 

[Stuxnet]

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean
.99999...is not eual to one. Its 1 - 0.000000000......1

Sadly, dumb people will never realize that mere earthlings will NEVER be able to grasp the concept of infinity.

Speaking of dumb people, dumbass, "0.000000000......1" is not even a number. It's no more a number than 1.0.0.03.0.3.dkx.33.Qfuck.03 is a number. It's just an arbitrary arrangement of characters that you've thrown together in a vein attempt to make others look less intelligent than yourself, when in fact, you've proven - quite well, I might add - just the opposite.

The "1" never comes into play. You've already stated there is an infinite number of 0's and, as such, you've already defined 0 for the place value wherever which you think 1 resides. Infinity is forever. You don't just waltz to the end of it and slap a 1 on for good measure.

In short, 0.000... is ALWAYS, without question, ZERO.
0.000...x is ALWAYS, without question, GIBBERISH.

Twit.

Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

Hey chief, you have NO CLUE what you're talking about, so how about you just mosey along. You haven't the slightest grasp on the matter. Trust me.

0.0...1 is gibberish. It's as much a naked woman as it is a number. Sound ridiculous? That's because it is.

.999 repeats INFINITELY. Infinity is not a number: it's a concept. It's the concept of a never-ending "thing", in this case, 9's. By definition, nothing can follow it.

I feel like I'm talking to a child.

Originally posted by: Injury
I failed calculus FFS. Twice.

You don't say.

 

[Injury]

Originally posted by: jbourne77

Originally posted by: Injury
I failed calculus FFS. Twice.

You don't say.

Now you're just being an asshole. I can't help that we aren't all losers like you who have nothing better to do than to argue about math. Blow me.

 

[Jack Ryan]

I love you all

 

[fitzov]

look folks, I'll just quote a calc book here:

"The limit of an infinite series is sometimes called its 'sum at infinity,' but of course this is not a sum in the usual arithmetical sense when the number of terms is finite. You can't obtain the "sum" of an infinite series by adding because the number of terms to be added is infinite. When we speak of the "sum" of an infinite series, this is just a short way of naming its limit...

 

[Beau]

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean
.99999...is not eual to one. Its 1 - 0.000000000......1

Sadly, dumb people will never realize that mere earthlings will NEVER be able to grasp the concept of infinity.

Speaking of dumb people, dumbass, "0.000000000......1" is not even a number. It's no more a number than 1.0.0.03.0.3.dkx.33.Qfuck.03 is a number. It's just an arbitrary arrangement of characters that you've thrown together in a vein attempt to make others look less intelligent than yourself, when in fact, you've proven - quite well, I might add - just the opposite.

The "1" never comes into play. You've already stated there is an infinite number of 0's and, as such, you've already defined 0 for the place value wherever which you think 1 resides. Infinity is forever. You don't just waltz to the end of it and slap a 1 on for good measure.

In short, 0.000... is ALWAYS, without question, ZERO.
0.000...x is ALWAYS, without question, GIBBERISH.

Twit.

Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

The mathematical definition of infinite is "not finite" meaning without end. So in no concept, regard or application can infinity have an end.

So, in order for a number to be infinite, there can be no finite ending point. This is the reason why 0.000...1 is not possible, since the 1 represents a finite ending point to a supposed infinite number.

You obviously do not understand the concept of infinity, you stupid earthling

 

[flashbacck]

this is hilarious!:

In the same vein, the question of 0.999? proved such a popular topic in the first seven years of Blizzard Entertainment's Battle.net forums that the company's president, Mike Morhaime, announced at a press conference on April 1, 2004 that it is 1:

"We are very excited to close the book on this subject once and for all. We've witnessed the heartache and concern over whether .999~ does or does not equal 1, and we're proud that the following proof finally and conclusively addresses the issue for our customers."[57]

Blizzard's subsequent press release offers two proofs, based on limits and multiplication by 10.

 

[SVT Cobra]

The wiki article on the convery belt is full of holes. I am not saying it is wrong I am saying they fail to back it up with proper logic.

 

[Stuxnet]

Originally posted by: Injury

Originally posted by: jbourne77

Originally posted by: Injury
I failed calculus FFS. Twice.

You don't say.

Now you're just being an asshole.

Expect nothing less.

Originally posted by: Injury
I can't help that we aren't all losers like you who have nothing better to do than to argue about math. Blow me.

Yes, I do find mathematics mentally stimulating... much the same way you find shiny objects mentally stimulating.

 

[RapidSnail]

Originally posted by: jagec

Originally posted by: mordantmonkey
dude, the plane won't take off. yeah the engines move atmosphere, but there is plenty of air to go around for the air around the wings to be relatively still.

how can i disagree with wiki on this but still realize that .999... = 1?

It's a poorly written article, but the plane takes off. In order to keep it from taking off, the treadmill must somehow exert an equal and opposite force on the BODY of the plane to counteract the engines. However, it is only able to act on the wheels, which will simply spin around merrily as the plane taxis forward and takes off.

I agree with the theory that the plane would take off; however, there is something that confuses me. Everyone says (and rightfully so) that the plane's motion is generated through the engines mounted on the wings, and that because of this, the plane is not effected by the belt's backward motion. However, if the weight of the plane is placed on the conveyor belt, how will the plane be able to obtain motion? What I mean is if the weight of the plane is fully loaded onto the belt, the force of the engines is essentially being routed to the wheels as they hold the weight of the object. That being the case, the plane would then be required to exceed the negative force of the conveyor belt in order to gain altitude.

It's late, and I wrote this in a hurry, so I don't expect you to understand what I am try to conveyor (pun). I'll try to better explain myself tomorrow when I have time to think. Maybe I'll find the answer myself.

 

[jagec]

Originally posted by: The Green Bean
Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

So you're saying that 0.99999(finite number of 9s)9 != 1. I don't think that anyone is going to dispute that.

Yes, everything in the "real universe" is quantized. But .9999 repeating doesn't exist in the real world, it exists in the mathematical world, where infinity also exists.

Originally posted by: mordantmonkey
Yeah, i think i just read the question wrong, in that the conveyor belt spins as fast as necessary in order to keep the plane body motionless. now if they were frictionless wheels it would be impossible to for the conveyor belt to keep the body motionless.
however if they were regular wheels (with internal friction) and it was a conveyor belt capable of insane speed then it could actually keep the plane from moving or taking off.

True...and, in fact, there's a second effect that also helps: The angular acceleration of the wheels saps a small, but real amount of energy from both the conveyor and the plane. This effect is pretty minimal, given the masses and forces involved, but it's there in addition to friction.

In real life, though, either the treadmill or the wheels would burn up before the plane would be held back. Friction and rotational inertia simply aren't big enough effects compared to the force of the engines.

Originally posted by: RapidSnail
I agree with the theory that the plane would take off; however, there is something that confuses me. Everyone says (and rightfully so) that the plane's motion is generated through the engines mounted on the wings, and that because of this, the plane is not effected by the belt's backward motion. However, if the weight of the plane is placed on the conveyor belt, how will the plane be able to obtain motion? What I mean is if the weight of the plane is fully loaded onto the belt, the force of the engines is essentially being routed to the wheels as they hold the weight of the object. That being the case, the plane would then be required to exceed the negative force of the conveyor belt in order to gain altitude.

That force is simply friction. It may seem like a massive force, due to the scales involved, but in reality it's very small compared to the force that the engines are able to exert. The plane must exceed the negative force of friction in the wheel bearings, which is not the same as the full force that the conveyor is able to exert on the wheels proper.

 

[Stuxnet]

Originally posted by: linkgoron

Originally posted by: Cawchy87
I remember this proof:

1/3 = .3333...

2/3 = .6666...

1/3 + 2/3 = 3/3 = 1

.3333... + .6666... = .9999... = 1

Originally posted by: johneetrash
cripes, i havent been on this board in yeaaaaaaaaaaars and the first thread i look at is an old thread i remember

lol, I was thinking the same thing

That is not a proof. using rounded numbers won't get you anywhere.

It's basically the fact that there are no numbers between 0.99~ and 1, and that's why they're the same.

Correct, it's not a proof; it's a demonstration. However, he used 0 rounded numbers. The numbers 0.333..., 0.666..., and 0.999... are all exact numbers that have a home on the real number line.

 

[The Green Bean]

Originally posted by: jbourne77

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean
.99999...is not eual to one. Its 1 - 0.000000000......1

Sadly, dumb people will never realize that mere earthlings will NEVER be able to grasp the concept of infinity.

Speaking of dumb people, dumbass, "0.000000000......1" is not even a number. It's no more a number than 1.0.0.03.0.3.dkx.33.Qfuck.03 is a number. It's just an arbitrary arrangement of characters that you've thrown together in a vein attempt to make others look less intelligent than yourself, when in fact, you've proven - quite well, I might add - just the opposite.

The "1" never comes into play. You've already stated there is an infinite number of 0's and, as such, you've already defined 0 for the place value wherever which you think 1 resides. Infinity is forever. You don't just waltz to the end of it and slap a 1 on for good measure.

In short, 0.000... is ALWAYS, without question, ZERO.
0.000...x is ALWAYS, without question, GIBBERISH.

Twit.

Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

Hey chief, you have NO CLUE what you're talking about, so how about you just mosey along. You haven't the slightest grasp on the matter. Trust me.

0.0...1 is gibberish. It's as much a naked woman as it is a number. Sound ridiculous? That's because it is.

.999 repeats INFINITELY. Infinity is not a number: it's a concept. It's the concept of a never-ending "thing", in this case, 9's. By definition, nothing can follow it.

I feel like I'm talking to a child.

Originally posted by: Injury
I failed calculus FFS. Twice.

You don't say.

If infinity is not a number, how can 0.999... (which has infinity 9s and therefore is NOT A REAL NUMBER) equal to one? (Which is a REAL NUMBER?) sounds ridiculous to me!!!

If 0.0...1 is not an accepted number, why is 0.99..?

Its like equating chickens and hands!

 

[linkgoron]

Originally posted by: jbourne77

Originally posted by: linkgoron

Originally posted by: Cawchy87
I remember this proof:

1/3 = .3333...

2/3 = .6666...

1/3 + 2/3 = 3/3 = 1

.3333... + .6666... = .9999... = 1

Originally posted by: johneetrash
cripes, i havent been on this board in yeaaaaaaaaaaars and the first thread i look at is an old thread i remember

lol, I was thinking the same thing

That is not a proof. using rounded numbers won't get you anywhere.

It's basically the fact that there are no numbers between 0.99~ and 1, and that's why they're the same.

Correct, it's not a proof; it's a demonstration. However, he used 0 rounded numbers. The numbers 0.333..., 0.666..., and 0.999... are all exact numbers that have a home on the real number line.

English isn't my first language, and rounded is obviously not what I meant. (as in 1.4 is rounded to 1)

 

[Stuxnet]

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean
.99999...is not eual to one. Its 1 - 0.000000000......1

Sadly, dumb people will never realize that mere earthlings will NEVER be able to grasp the concept of infinity.

Speaking of dumb people, dumbass, "0.000000000......1" is not even a number. It's no more a number than 1.0.0.03.0.3.dkx.33.Qfuck.03 is a number. It's just an arbitrary arrangement of characters that you've thrown together in a vein attempt to make others look less intelligent than yourself, when in fact, you've proven - quite well, I might add - just the opposite.

The "1" never comes into play. You've already stated there is an infinite number of 0's and, as such, you've already defined 0 for the place value wherever which you think 1 resides. Infinity is forever. You don't just waltz to the end of it and slap a 1 on for good measure.

In short, 0.000... is ALWAYS, without question, ZERO.
0.000...x is ALWAYS, without question, GIBBERISH.

Twit.

Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

Hey chief, you have NO CLUE what you're talking about, so how about you just mosey along. You haven't the slightest grasp on the matter. Trust me.

0.0...1 is gibberish. It's as much a naked woman as it is a number. Sound ridiculous? That's because it is.

.999 repeats INFINITELY. Infinity is not a number: it's a concept. It's the concept of a never-ending "thing", in this case, 9's. By definition, nothing can follow it.

I feel like I'm talking to a child.

Originally posted by: Injury
I failed calculus FFS. Twice.

You don't say.

If infinity is not a number, how can 0.999... (which has infinity 9s and therefore is NOT A REAL NUMBER) equal to one? (Which is a REAL NUMBER?) sounds ridiculous to me!!!

If 0.0...1 is not an accepted number, why is 0.99..?

Its like equating chickens and hands!

Holy cow. You're right, son. You're smarter than all of the PhD holding mathematicians dead or alive.

1. You can't put anything at the end of infinite object. That's like saying "at the end of forever, there's a '1'". No one is calling 'infinity' a number. It simply means that the 0's in 0.000... are never ending, and the 9's in 0.999... are never ending.

2. The value of whatever position you claim '1' to hold in '0.000...1' is already defined. You already stated that '0' repeats forever. '0.000...1' contradicts itself, which is why it's total gibberish. You can't say "0 repeats forever, but at some point there's a '1'". At any point in 'forever', you've stated there's a '0'. The only reason you put a '1' there is because you cannot grasp 'infinity'. Just because you cannot grasp it doesn't mean it's wrong.

3. I can show you two basic proofs and one "advanced" one that illustrates precisely why 0.999... = 1, but I'm certain such an effort would be a waste. If you want to see them, read the Wikipedia article. These are widely accepted (among professional mathematicians). If you wish to challenge any of the three proofs, you must first prove one of the assumptions false. Good luck with that. If you do not understand any one of these three proofs, you are hardly qualified to even be engaging in this discussion or challenging those who do understand them... for the same reasons I don't get into discussions over thermodynamics and quantum theory. It would be preposterous.

I know I'm being rude, but I assure you it's only in response to your incredible arrogance.

 

[Pastore]

How can a plane take off with no lift? i.e. the plane is stationary.

 

[RapidSnail]

So many people lose sight of the fact that .9bar is an infinitely repeating number. It never ends. When you say .9...1 you are really saying .9 repeating to x amount of places with a one on the end. That number is not equal to one, and nobody ever said it did. You have to realize that infinity is not an ever expanding number. It is just there.

Most people imagine an infinite series as a number constantly racing towards infinity, as if it is a train constantly moving foward at an extremely rapid pace. However, infinity is already a point in space. We just happen to be moving "closer" along the number line to it as we expand our view of it. Think of the largest number you can. What you just thought of was not a "new" number. You did not just "expand" the number line by "inventing" a number larger than your previous scope, what you did do was expand your view of the number line to include a number you previously did not have knowledge of bringing you that much "closer" to infinity.

Understand the .9bar is a set number, not one approaching infinity, but one already at infinity. Knowing that, we see through all sorts of proofs that it is equal to one. For a simple example, give me a number inbetween .9bar and one. When you find that number, let me know. And I'll give you a hint, it's not .9...y, because at the point you come to an ending digit, you have stopped the infinite series and reduced it to a finite number, .9... x 10^-x + y x 10^-x+1.

In this post, "bar" is equivalent to "infinitely repeating," and "..." is equivalent to "repeating." Both have the same meaning in mathematics, but I am redefining them for this post so I don't have to write "repeating" whenever I wish to express a number not infinitely repeating in an equation. Also, italicized "x" means "multiplied by" or "times," and regular "x" is an independent variable.

Edit - Fixed equation.

 

[Stuxnet]

Originally posted by: Pastore
How can a plane take off with no lift? i.e. the plane is stationary.

Agreed. All the conveyor belt does is allow the plane's wheels to spin really, really fast. Fast wheels != lift under the wings.

[edit]

I take that back... just figured it out.

It will take off because the conveyor belt isn't countering the effects of the jets, props, etc. It only acts on the plane's wheels which are insignificant.

 

[jman19]

Originally posted by: jbourne77

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean

Originally posted by: jbourne77

Originally posted by: The Green Bean
.99999...is not eual to one. Its 1 - 0.000000000......1

Sadly, dumb people will never realize that mere earthlings will NEVER be able to grasp the concept of infinity.

Speaking of dumb people, dumbass, "0.000000000......1" is not even a number. It's no more a number than 1.0.0.03.0.3.dkx.33.Qfuck.03 is a number. It's just an arbitrary arrangement of characters that you've thrown together in a vein attempt to make others look less intelligent than yourself, when in fact, you've proven - quite well, I might add - just the opposite.

The "1" never comes into play. You've already stated there is an infinite number of 0's and, as such, you've already defined 0 for the place value wherever which you think 1 resides. Infinity is forever. You don't just waltz to the end of it and slap a 1 on for good measure.

In short, 0.000... is ALWAYS, without question, ZERO.
0.000...x is ALWAYS, without question, GIBBERISH.

Twit.

Infinity does not exist when talking of numbers or any thing within the universe.

Nothing in the universe can calculate 0.999999..... and therefore some people just equate it to one. However, even infinity has limits since the concept of infinity does not exist in the universe.

Therefore 0.0...1 is a a number and does not equal zero. I put a one there fore a reason becuase infinity in this regard ends.

Hey chief, you have NO CLUE what you're talking about, so how about you just mosey along. You haven't the slightest grasp on the matter. Trust me.

0.0...1 is gibberish. It's as much a naked woman as it is a number. Sound ridiculous? That's because it is.

.999 repeats INFINITELY. Infinity is not a number: it's a concept. It's the concept of a never-ending "thing", in this case, 9's. By definition, nothing can follow it.

I feel like I'm talking to a child.

Originally posted by: Injury
I failed calculus FFS. Twice.

You don't say.

If infinity is not a number, how can 0.999... (which has infinity 9s and therefore is NOT A REAL NUMBER) equal to one? (Which is a REAL NUMBER?) sounds ridiculous to me!!!

If 0.0...1 is not an accepted number, why is 0.99..?

Its like equating chickens and hands!

Holy cow. You're right, son. You're smarter than all of the PhD holding mathematicians dead or alive.

1. You can't put anything at the end of infinite object. That's like saying "at the end of forever, there's a '1'". No one is calling 'infinity' a number. It simply means that the 0's in 0.000... are never ending, and the 9's in 0.999... are never ending.

2. The value of whatever position you claim '1' to hold in '0.000...1' is already defined. You already stated that '0' repeats forever. '0.000...1' contradicts itself, which is why it's total gibberish. You can't say "0 repeats forever, but at some point there's a '1'". At any point in 'forever', you've stated there's a '0'. The only reason you put a '1' there is because you cannot grasp 'infinity'. Just because you cannot grasp it doesn't mean it's wrong.

3. I can show you two basic proofs and one "advanced" one that illustrates precisely why 0.999... = 1, but I'm certain such an effort would be a waste. If you want to see them, read the Wikipedia article. These are widely accepted (among professional mathematicians). If you wish to challenge any of the three proofs, you must first prove one of the assumptions false. Good luck with that. If you do not understand any one of these three proofs, you are hardly qualified to even be engaging in this discussion or challenging those who do understand them... for the same reasons I don't get into discussions over thermodynamics and quantum theory. It would be preposterous.

I know I'm being rude, but I assure you it's only in response to your incredible arrogance.

Point three, which I bolded, is exactly what I asked for from the doubters in the previous "0.999... = 1" thread; instead of using math to disprove the proofs given, all I got were peoples opinions...