[TurboFan]

Originally Posted by Kilockel

Well, technically "infinity + 1 = infinity + 1", however this doesn't work in my opinion. You can't really add something to infinity, as there's no point, and no way to actual do it, or reason to. The answer will be the same.

Infinity + 1 = Infinity

You shouldn't be able to just say you're going to add one to infinity.

so if x = infinity, then.... 1=0. Woo hoo.

[TurboFan]

If I recall the shit I've been trying so hard to forget, 0.999... is asymptotic (spelling?) to 1, but never equal.

[Kilockel]

Originally Posted by TurboFan

so if x = infinity, then.... 1=0. Woo hoo.

Those are entirely independent, so I'm not sure what you meant...

x = infinity
1 = 0

They can both be true*, but from the information you gave I don't see how one being true results in the other being true. (I'm not saying I believe either of the statements are correct. I'm just assuming you're giving us two true statements. Hopefully you understand what I mean!)

* I don't think it would be correct to say "x" equals infinity. You'd have to use the correct symbol, which would be ∞. I could be wrong, of course.

[jaiman]

Originally Posted by TurboFan

If I recall the shit I've been trying so hard to forget, 0.999... is asymptotic (spelling?) to 1, but never equal.

Wrong. Read all about it here: http://en.wikipedia.org/wiki/0.999...

[AndrewAZ]

A proof again means nothing.. You can find ones that prove all cars are white, all cats are dogs money is the root of all evil, women are the root of all evil ect..

The problem with the .999... in a proof is you are defining .999... which in theory has no end, so you are making it end by adding a 1 to it somewhere. Its a debated topic. Its like the old saying if a fish is wet its entire life does it know what it feels like to be wet?

[Kilockel]

Originally Posted by AndrewAZ

A proof again means nothing.. You can find ones that prove all cars are white, all cats are dogs money is the root of all evil, women are the root of all evil ect..

The problem with the .999... in a proof is you are defining .999... which in theory has no end, so you are making it end by adding a 1 to it somewhere. Its a debated topic. Its like the old saying if a fish is wet its entire life does it know what it feels like to be wet?

Just because you're defining something does not mean you are limiting it. I am in NO way adding anything to 0.999... to consider it 1. Sorry, no rounding either.

Again:

1/3 = 0.333...
3/3 = 1

But that doesn't make any sense. If 1/3 = 0.333... then wouldn't tripling it equal 0.999...? Yes it would. Simple math shows that.

The product 0.333... and 3 is 0.999...

Thus 3/3 can obviously be interpreted as 0.999..., or 1. I'm not adding, removing, or rounding anything. The fraction 1/3 is equal to 0.333..., so why wouldn't the fraction 3/3 be equal to 0.999...? It makes perfect sense.

Also as stated before (more than once):

Two real numbers are considered identical if (and ONLY if) their difference is equal to zero. Given and positive value, the difference between 0.999... and 1 is less than this value (proved using closed intervals and triangle inequalities). Thus showing that they are both identical in value, thus being equal.

This is just ONE of the numerous ways to prove that 0.999... does in fact equal 1.

Edit: The fish thing: yes, a fish does know what it feels like to be wet. Just like we know what it feels like to be humans. This has nothing to do with what we're talking about. Can they understand what, why, and how? Can they understand what it feels like to be dry? Do fish "understand" things the way we do? There are a lot of questions to be asked, but it doesn't really matter in this situation. In a new thread, maybe it would.

[jaiman]

Originally Posted by AndrewAZ

A proof again means nothing..

Are you serious? All of mathematics is based on proofs.

Read the wikipedia link I gave above, think about the 2 proofs in this thread. The answer will come to you.

[mkeds]

?? if its 3/3 its 1



someone please close this thread

[Kilockel]

Originally Posted by j_way3494

?? if its 3/3 its 1



someone please close this thread

Did you read ANY of the posts in this thread?

[Hawkeye]

Originally Posted by Kilockel

Just because you're defining something does not mean you are limiting it. I am in NO way adding anything to 0.999... to consider it 1. Sorry, no rounding either.

Again:

1/3 = 0.333...
3/3 = 1

But that doesn't make any sense. If 1/3 = 0.333... then wouldn't tripling it equal 0.999...? Yes it would. Simple math shows that.

The product 0.333... and 3 is 0.999...

Thus 3/3 can obviously be interpreted as 0.999..., or 1. I'm not adding, removing, or rounding anything. The fraction 1/3 is equal to 0.333..., so why wouldn't the fraction 3/3 be equal to 0.999...? It makes perfect sense.

Also as stated before (more than once):

Two real numbers are considered identical if (and ONLY if) their difference is equal to zero. Given and positive value, the difference between 0.999... and 1 is less than this value (proved using closed intervals and triangle inequalities). Thus showing that they are both identical in value, thus being equal.

This is just ONE of the numerous ways to prove that 0.999... does in fact equal 1.

Edit: The fish thing: yes, a fish does know what it feels like to be wet. Just like we know what it feels like to be humans. This has nothing to do with what we're talking about. Can they understand what, why, and how? Can they understand what it feels like to be dry? Do fish "understand" things the way we do? There are a lot of questions to be asked, but it doesn't really matter in this situation. In a new thread, maybe it would.

Once again this is wrong. Assuming 1/3 = 0.333.... is the exact same thing as just assuming 1 = 0.999.... right off the bat. 0.333... is CLOSE to 1/3 but it never is actually EQUAL to it, it is more of an equivalency.

[AndrewAZ]

Originally Posted by jaiman

Are you serious? All of mathematics is based on proofs.

Read the wikipedia link I gave above, think about the 2 proofs in this thread. The answer will come to you.

I suggest you re-read it.. Since it shows the controversy of the proof. This is a debated topic that has no answer..


And proofs can be wrong.. Science is based on theories but it doesnt mean they are right.. I cant tell you how many times the atomic model has changed since I have been in school.

[Kilockel]

Originally Posted by Hawkeye

Once again this is wrong. Assuming 1/3 = 0.333.... is the exact same thing as just assuming 1 = 0.999.... right off the bat. 0.333... is CLOSE to 1/3 but it never is actually EQUAL to it, it is more of an equivalency.

...

Okay, if 1/3 doesn't equal 0.333..., what does it equal?

0.333... is the closest possible answer.

[TurboFan]

Originally Posted by Kilockel

...

Okay, if 1/3 doesn't equal 0.333..., what does it equal?

0.333... is the closest possible answer.

1/3 is a finitie expression. 0.333... is an infinite expression. Or, 1/3 is a rational expression, 0.333... is an irrational expression. Not equal.

[Kilockel]

Originally Posted by TurboFan

1/3 is a finitie expression. 0.333... is an infinite expression. Or, 1/3 is a rational expression, 0.333... is an irrational expression. Not equal.

I asked what it actually equalled, as I'm apparently incorrect.

Also note that I stated it was the closest possible answer, as far as I know.

[Kilockel]

A lot* of people are saying I'm wrong in stating that 1/3 = 0.333... but not one, as far as I am aware, has given me an alternate answer.

That's saying something, in my eyes.

*Okay, maybe just a few.

[s1eepy]

Originally Posted by TurboFan

1/3 is a finitie expression. 0.333... is an infinite expression. Or, 1/3 is a rational expression, 0.333... is an irrational expression. Not equal.

you must be confused.

non-terminating repeating decimals are rational
0.333... is rational
0.333... is the decimal representation of the fraction 1/3 so they are equal

non-terminating non-repeating decimals are the the ones that are irrational
ie. pi

[s1eepy]

Originally Posted by AndrewAZ

A proof again means nothing.. You can find ones that prove all cars are white, all cats are dogs money is the root of all evil, women are the root of all evil ect..

i'll give you a cookie if you can find me a valid argument containing true premises for any of the examples you've stated.

[Last E92 M3]

damn someones having fun lol...

[jaiman]

Originally Posted by AndrewAZ

I suggest you re-read it.. Since it shows the controversy of the proof. This is a debated topic that has no answer..


And proofs can be wrong.. Science is based on theories but it doesnt mean they are right.. I cant tell you how many times the atomic model has changed since I have been in school.

this is crazy.

You think its false? Give me a proof.

how about this, 2/2 = 1, 4/4 = 1, why is 3/3 different?