Poll: 0.999... = 1

[Mister Swift]

Consider this:

0.33 recurring is equal to 1/3.

No it isn't. Base3 is not base10. See my prev post. The "proof" of the "experts" is fundamentally flawed.

Right-o. Help me see your point.

What is one divided by three? I'm saying that it is 0.33 recurring. Am I wrong?

 

[Lyx]

Consider this:

0.33 recurring is equal to 1/3.

No it isn't. Base3 is not base10. See my prev post. The "proof" of the "experts" is fundamentally flawed.

Right-o. Help me see your point.

What is one divided by three? I'm saying that it is 0.33 recurring. Am I wrong?

You failed to read my post.

 

[Coldie]

yes, but not at the same time. Because 02 = 0. But 12 =/= 0. Which is what the persons said when he said that .999... = 1 at the same time, both being X. You cant plug two separate values at the same, so while x = 1 and 0, it can not equal them at the same time.

While a variable can have any number of values, you cannot substitute different values of the same variable into the same set of equations, yes. X does equal to 0 and 1 at the same time, but if you resolve the variable into a number, please resolve it the same way for all instances.

However, nobody actually substituted x = 1 into any equations in the original proof. The only substitution was x = 0.(9), which is the definition of x. The equations created after said substitution eventually prove that 1 = 0.(9) = x.

 

[Ethylene Glycol]

Fun math fact: Numbers are never clearly defined. Presumably because it's impossible to create a definition of them that isn't recursive.

 

[orangeapples]

...

YOU FOOL! we're humans logic does not apply to us!

Indeed...logic says I shouldn't be able to walk through a doorway or place a mug on a tabletop either. Here we are blowing that out of the water every day.

you're right. I should have said, "YOU FOOL! we're Humans, logic does not apply to us!"

logic does apply to humans.

the difference is in the big H and the little h
Humans is the concept of all humanity.
humans pertains to the individual human.

much like how science uses laws to try to find truth, but not Truth.

 

[Rabid Toilet]

I still want an answer to my previous question.

Any repeating decimal is a rational number and can be expressed as a fraction, by definition.

What fraction equals .99...?

1/.9999...

Well, you asked.

You can't use decimals in a rational number expressed as a fraction, try again.

Alright.

10000..../9999....

Personally I don't really understand why humans bar the two from each other. They are just as much numbers as anything else.

You are dividing infinity by infinity, which is undefined.

 

[crazy_egyptian]

I still want an answer to my previous question.

Any repeating decimal is a rational number and can be expressed as a fraction, by definition.

What fraction equals .99...?

1/.9999...

Well, you asked.

You can't use decimals in a rational number expressed as a fraction, try again.

Ooh ooh can i try? is it 1/1? XD

 

[Mister Swift]

You failed to read my post.

I must admit, I did get ahead of myself and posted before I read your post.

Now that I have, I'm questioning whether or not you quite grasp the concept of 'infinity'.

 

[smithy_2045]

I still want an answer to my previous question.

Any repeating decimal is a rational number and can be expressed as a fraction, by definition.

What fraction equals .99...?

1/.9999...

Well, you asked.

You can't use decimals in a rational number expressed as a fraction, try again.

Alright.

10000..../9999....

Personally I don't really understand why humans bar the two from each other. They are just as much numbers as anything else.

10000.../9999.... = ∞/∞, which is undefined.

 

[Rabid Toilet]

I still want an answer to my previous question.

Any repeating decimal is a rational number and can be expressed as a fraction, by definition.

What fraction equals .99...?

1/.9999...

Well, you asked.

You can't use decimals in a rational number expressed as a fraction, try again.

Ooh ooh can i try? is it 1/1? XD

DING DING DING!

We have a winner!

 

[IMakeIce]

I still want an answer to my previous question.

Any repeating decimal is a rational number and can be expressed as a fraction, by definition.

What fraction equals .99...?

1/.9999...

Well, you asked.

You can't use decimals in a rational number expressed as a fraction, try again.

Ooh ooh can i try? is it 1/1? XD

You are incorrect, it is 2/2.

 

[popa_qwerty]

if .9999...=1

now by that logic i can say all numbers are close to infinite

0=.11111...=.22222...=.333333...=.4444444...=.5555555...=.6666666....=.77777777...=.88888888...=.999999999...=.1=1.1111111...
so 0=infinite
and this is not true but by your logic it is

and FYI the number between .99999 and 1 is a number we call i or a imaginary number

1/3≈.33333 not 1/3=3 that is because there is no way to get .333...back to 1/3 you can try you will always fail

i open account just to answer this yay my first post

 

[Jaime_Wolf]

This has been enormously entertaining as always, but really, can't we just link the wikipedia page and be done with it?

http://en.wikipedia.org/wiki/0.999...

It has all of the most well-known proofs, explanations for why people are often mistaken, and a discussion of the flawed understanding of limits that lead people to reject this claim. The short version for those who won't click the link is that you're confusing sequences and limits.

Also, 99% of the problems seem to stem from people insisting that no real number can be represented by the same symbol. That's untrue in a sublimely profound way. See specifically: http://en.wikipedia.org/wiki/0.999...#Impossibility_of_unique_representation

You can argue that mathematics isn't a representation of the "real" world (this argument gets impossibly silly if you did deeper, though for somewhat different reasons than you might think), but that doesn't change the fact that within the system of mathematics, these expressions have the same value.

 

[crazy_egyptian]

I still want an answer to my previous question.

Any repeating decimal is a rational number and can be expressed as a fraction, by definition.

What fraction equals .99...?

1/.9999...

Well, you asked.

You can't use decimals in a rational number expressed as a fraction, try again.

Ooh ooh can i try? is it 1/1? XD

You are incorrect, it is 2/2.

You sir are a master of equivalent fractions, so much so i must conclude you are trolling

 

[Lyx]

You failed to read my post.

I must admit, I did get ahead of myself and posted before I read your post.

Now that I have, I'm questioning whether or not you quite grasp the concept of 'infinity'.

I grasp it much better than you do. For example, i understand that it is not a number, but a function. Infinity is "repeat this over and over, and never get a result because you have to repeat it WITHOUT END". A function that does not end, never finishes, and thus never arrives at what you assume it is.

There is a way to undermine the claim that 0.999... is does not equal 1. But it is outside of maths... it has to do with what math is supposed to represent.

 

[Rabid Toilet]

if .9999...=1

now by that logic i can say all numbers are close to infinite

0=.11111...=.22222...=.333333...=.4444444...=.5555555...=.6666666....=.77777777...=.88888888...=.999999999...=.1=1.1111111...
so 0=infinite
and this is not true but by your logic it is

and FYI the number between .99999 and 1 is a number we call i or a imaginary number

1/3≈.33333 not 1/3=3 that is because there is no way to get .333...back to 1/3 you can try you will always fail

I'm afraid not.

.1111... = 1/9
.2222... = 2/9
...
.8888... = 8/9
.9999... = 9/9

.1111... does not equal .2222... because 1/9 does not equal 2/9.
.9999... does, however, equal 1 because 9/9 equals 1.

 

[emeraldrafael]

yes, but not at the same time. Because 02 = 0. But 12 =/= 0. Which is what the persons said when he said that .999... = 1 at the same time, both being X. You cant plug two separate values at the same, so while x = 1 and 0, it can not equal them at the same time.

While a variable can have any number of values, you cannot substitute different values of the same variable into the same set of equations, yes. X does equal to 0 and 1 at the same time, but if you resolve the variable into a number, please resolve it the same way for all instances.

However, nobody actually substituted x = 1 into any equations in the original proof. The only substitution was x = 0.(9), which is the definition of x. The equations created after said substitution eventually prove that 1 = 0.(9) = x.

Well, I was using example in this post. Which is far from the original.

ANd thats exactly what I'm saying. it cant, which is what I said.

 

[Jaime_Wolf]

if .9999...=1

now by that logic i can say all numbers are close to infinite

0=.11111...=.22222...=.333333...=.4444444...=.5555555...=.6666666....=.77777777...=.88888888...=.999999999...=.1=1.1111111...
so 0=infinite
and this is not true but by your logic it is

and FYI the number between .99999 and 1 is a number we call i or a imaginary number

1/3≈.33333 not 1/3=3 that is because there is no way to get .333...back to 1/3 you can try you will always fail

You lack the pseudo-science and amateur philosophy of some of the other posters, but the mathematics is cute. I would give it an 8, but the hilarious appeal to i really makes the post.

10.

 

[quhouv vhqwiufv qwiu]

You know, come to think of it, I'm surprised that web forums don't have some kind of automatic function to destroy threads like this at inception.

Blizzard literally had to start banning people to stop this conversation clogging the battle.net forums when they posted the proof as an april fools joke years and years ago. I don't know if the april fools joke was that the proof was real...or that they knew people would go ape!@#! over it...

Really? Intelligent people shouldn't be punished for the ignorance of unintelligent people. If that were to happen to me I would take the administrators to court.