Proof - Page 3

TD_GenoCid3 · 10-23-2006, 02:04 AM

Quote:

Originally Posted by Kit-

.9 repeating IS one. .99999... = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + .... = 9/10/(1-1/10)=(9/10)/(9/10)=1.

wtfbbq...im bored,were is carlo??

why duz reach have anime children grasping his boobs :O

**Squeek** · 10-23-2006, 09:33 AM

Quote:

Originally Posted by Kit-

.9 repeating IS one. .99999... = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + .... = 9/10/(1-1/10)=(9/10)/(9/10)=1.

.9 repeating is not one.

It's the closest number to one, but you cannot define it as one.

You know the old problem about half-lives, right? An object continually decays half of its material, then in the same time that happened, half of what's left.

Think of it as a bird that has to fly 100 miles. Goes 50. Goes 25. Goes 12.5

It never gets there. The distance might be so slight that no device in the known world can measure it, but it'll never completely finish.

You cannot say .9 repeating is one.

**Reach** · 10-23-2006, 12:47 PM

Quote:

All that's being debated at this point is semantics.

Truth. And that is all there really is to debate because the entire problem with the word proof is that it is not properly defined. It's like intelligence.

Oh and

Simplying saying .9 REPEATING = 1 is false.

a decimal place with an INFINITE number of 9's behind it IS ONE (by definition). There is a very crutial difference between the 2. The fact of the matter is, if something is repeating, that means that it is happening and its rate of happening can be measured. Something like this can never extend infinitely, it will only approach 1 forever and never equal one.

It's sort of a matter of bounding something. Infinity exists without any bound, so you can truthfully say a decimal with an infinite number of 9's behind it equals one, because without a bound it exists everywhere all at once, which means it has no rate. If something has a rate it is bounded and isn't infinite.

Hence, for example, we refer to the universe as being completely and udderly finite, though it is a popular misunderstanding of the world infinity that propagates the idea of an infinite visible universe.

spyke252 · 10-23-2006, 01:29 PM

Quote:

Originally Posted by Reach

Simplying saying .9 REPEATING = 1 is false.

I thought saying .9 repeating was understood to mean
_
.9, which is a decimal with an infinite number of nines behind it. It seems like common sense to me, as you can't measure how fast a nine is behind a decimal.

Afrobean · 10-23-2006, 01:51 PM

sup guys

You do realize that you guys are arguing whether or not 3/3 is 1, right? Did you all miss that day in math class where they explain that anything divided by itself is equal to one (except 0, I guess, but that doesn't count).

**Shashakiro** · 10-23-2006, 02:44 PM

".9 repeating" means a decimal point with an infinite number of 9's after it, mathematically...it has nothing to do with ACTUAL repeating, or rates, or anything Reach mentioned...it just means that the pattern (which, in this case, is a single 9) is duplicated infinitely.

In any case, whatever semantics you want to use, it's equal to 1. Anyone saying otherwise doesn't actually know what they're talking about.

**Squeek** · 10-23-2006, 03:27 PM

Shash, it's not.

You know, anything multiplied by one is the original number? You multiply something by 0.99999999999999999999 repeating and you're not going to get the original number.

GOOD NIGHT.

Edit: Since you're not going to believe me.

Multiply it by one once? No change. The original number is the same as the answer. Multiply by 0.9-, almost the same. The change would be so insignificant that nobody woulc care.

Multiply it by one AN INFINITE NUMBER OF TIMES? NO CHANGE. The original number is the same. Multiply by 0.9-. CHANGES. MANY.

Afrobean · 10-23-2006, 03:35 PM

Squeek.

You're saying that 3/3 != 1.

**Squeek** · 10-23-2006, 03:37 PM

What? When?

I said that 0.9 repeating is not the same as one. I said nothing about division.

What are you talking about Afro. Please explain, because you're not making any sense.

Edit: If you want to divide, let's divide.

1/1. Do it an infinite number of times. Still 1.

0.9- / 1. Do it an infinite number of times. Not 1.

Edit 2: You know what, screw CT. I'm apparently always wrong anyway, so I'll just stop posting here. Good luck keeping threads moderated.

Afrobean · 10-23-2006, 03:45 PM

.9 repeating is equal to .3 repeating * 3

Basically:

3 * (3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + ....

We also know that .3 repeating ( 3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) is equal to 1/3. Therefore, 3 times 1/3 (or .3 repeating...) is equal to 3/3 or 1 (or .9 repeating).

I don't know if I worded that right, but yeah whatever. Basically .9 repeating is equal to 3/3 and 3/3 is equal to 1.

**Squeek** · 10-23-2006, 03:47 PM

According to the Wiki page for this, the problem is that the word is "equals", which is a math term.

Math and English don't get along. Put in an "EXACTLY EQUALS". Watch how well it works.

Mathematical equals means the difference is negligible.

Another thing I noticed on the Wiki page was an interesting point that I agree with even though someone tries to prove it wrong. 0.9 repeating is not a number until you stop adding nines. It's just an idea; a concept. Just like how infinity is not a number, you cannot use infinity in a decimal to make a number.

Case in point: I was going to make a program in Java to prove that multiplying a number by 0.9 repeating a billion times changes the number, but I can't put in an infinite number of nines.

Afrobean · 10-23-2006, 03:50 PM

Are you saying then that I'm wrong in this:

3 * (3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + ....

???

**Shashakiro** · 10-23-2006, 03:57 PM

Quote:

Originally Posted by Squeek

Shash, it's not.

Yes, it is.

Quote:

You know, anything multiplied by one is the original number? You multiply something by 0.99999999999999999999 repeating and you're not going to get the original number.

Yes, you are.

Quote:

Multiply by 0.9-, almost the same. The change would be so insignificant that nobody woulc care.

Assuming your dash means repeating, then it's actually going to be exactly the same. No insignificant difference. EXACTLY THE SAME.

Quote:

Multiply it by one AN INFINITE NUMBER OF TIMES? NO CHANGE. The original number is the same. Multiply by 0.9-. CHANGES. MANY.

1 to the infinity power is not actually 1, it's undefined. So is .9 repeating to the infinity (of course, since it's the exact same thing).

Infinity is a pretty weird thing.

**Squeek** · 10-23-2006, 04:04 PM

Put 0.9 repeating infinitely into a calculator please =)

I'll believe it's 1 in theory but you cannot put that theory into practice because infinity is not a number.

Afro, I can't even follow your math, so I'm not paying attention to it, ok bye.

Afrobean · 10-23-2006, 04:05 PM

Just because it's not a finite number which can be used it mathematic operations doesn't make my statement in my previous post invalid.

**Squeek** · 10-23-2006, 04:10 PM

I don't know what your statement is, so...

Hi afro.

You all got me, I said 0.9 repeating equals one in theory. But even knowing that, you can't use 0.9 repeating infinitely, so WHY THE CRAP IS THIS EVEN AROUND.

Same with all threads. If what Laharl said last page about proof being objective is true, then why do we even have a CT forum?

Afrobean · 10-23-2006, 04:12 PM

Quote:

Originally Posted by Squeek

If what Laharl said last page about proof being objective is true, then why do we even have a CT forum?

Because arguing is fun

Really, that's the only reason for it. Sure, you can try to proove things, but nothing can be proven to be objectively true because of the nature of human's perception of reality. It's really just for fun.

GuidoHunter · 10-23-2006, 04:14 PM

Quote:

Originally Posted by Shashakiro

Infinity is a pretty weird thing.

Infinity is just a term used to mean "a really ****ing big number".

--Guido

http://andy.mikee385.com

spyke252 · 10-23-2006, 04:16 PM

Quote:

Originally Posted by Squeek

Put 0.9 repeating infinitely into a calculator please =)

Put all of the digits of Pi, e, the sequences of sine, cosine, etc. And I'll think about it.

Did you never notice that though we cannot have all of the (Once again, infinitely repeating) digits of pi, we still use it?

OffTopic: Please don't leave. It doesnt matter if you're wrong, everyone is at one time or another. You seem like a nice guy, and if you leave, we will lose a valuable member of CT... =(

Afrobean · 10-23-2006, 04:23 PM

Quote:

Originally Posted by GuidoHunter

Infinity is just a term used to mean "a really ****ing big number".

--Guido

http://andy.mikee385.com

No infinity is more than a really ****ing big number.

If that's all it was, it would have a finite value.

10-23-2006, 01:51 PM	#45
Afrobean Admiral in the Red Army Join Date: Dec 2003 Location: the moon Age: 38 Posts: 13,262	Re: Proof sup guys You do realize that you guys are arguing whether or not 3/3 is 1, right? Did you all miss that day in math class where they explain that anything divided by itself is equal to one (except 0, I guess, but that doesn't count). __________________

10-23-2006, 03:27 PM	#47
Squeek let it snow~ Join Date: Jan 2004 Age: 39 Posts: 14,444	Re: Proof Shash, it's not. You know, anything multiplied by one is the original number? You multiply something by 0.99999999999999999999 repeating and you're not going to get the original number. GOOD NIGHT. Edit: Since you're not going to believe me. Multiply it by one once? No change. The original number is the same as the answer. Multiply by 0.9-, almost the same. The change would be so insignificant that nobody woulc care. Multiply it by one AN INFINITE NUMBER OF TIMES? NO CHANGE. The original number is the same. Multiply by 0.9-. CHANGES. MANY. Last edited by Squeek; 10-23-2006 at 03:30 PM..

10-23-2006, 03:35 PM	#48
Afrobean Admiral in the Red Army Join Date: Dec 2003 Location: the moon Age: 38 Posts: 13,262	Re: Proof Squeek. You're saying that 3/3 != 1. __________________

10-23-2006, 03:37 PM	#49
Squeek let it snow~ Join Date: Jan 2004 Age: 39 Posts: 14,444	Re: Proof What? When? I said that 0.9 repeating is not the same as one. I said nothing about division. What are you talking about Afro. Please explain, because you're not making any sense. Edit: If you want to divide, let's divide. 1/1. Do it an infinite number of times. Still 1. 0.9- / 1. Do it an infinite number of times. Not 1. Edit 2: You know what, screw CT. I'm apparently always wrong anyway, so I'll just stop posting here. Good luck keeping threads moderated. Last edited by Squeek; 10-23-2006 at 03:42 PM..

10-23-2006, 03:45 PM	#50
Afrobean Admiral in the Red Army Join Date: Dec 2003 Location: the moon Age: 38 Posts: 13,262	Re: Proof .9 repeating is equal to .3 repeating * 3 Basically: 3 * (3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + .... We also know that .3 repeating ( 3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) is equal to 1/3. Therefore, 3 times 1/3 (or .3 repeating...) is equal to 3/3 or 1 (or .9 repeating). I don't know if I worded that right, but yeah whatever. Basically .9 repeating is equal to 3/3 and 3/3 is equal to 1. __________________

10-23-2006, 03:47 PM	#51
Squeek let it snow~ Join Date: Jan 2004 Age: 39 Posts: 14,444	Re: Proof According to the Wiki page for this, the problem is that the word is "equals", which is a math term. Math and English don't get along. Put in an "EXACTLY EQUALS". Watch how well it works. Mathematical equals means the difference is negligible. Another thing I noticed on the Wiki page was an interesting point that I agree with even though someone tries to prove it wrong. 0.9 repeating is not a number until you stop adding nines. It's just an idea; a concept. Just like how infinity is not a number, you cannot use infinity in a decimal to make a number. Case in point: I was going to make a program in Java to prove that multiplying a number by 0.9 repeating a billion times changes the number, but I can't put in an infinite number of nines. Last edited by Squeek; 10-23-2006 at 03:50 PM..

10-23-2006, 03:50 PM	#52
Afrobean Admiral in the Red Army Join Date: Dec 2003 Location: the moon Age: 38 Posts: 13,262	Re: Proof Are you saying then that I'm wrong in this: 3 * (3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + .... ??? __________________

10-23-2006, 04:04 PM	#54
Squeek let it snow~ Join Date: Jan 2004 Age: 39 Posts: 14,444	Re: Proof Put 0.9 repeating infinitely into a calculator please =) I'll believe it's 1 in theory but you cannot put that theory into practice because infinity is not a number. Afro, I can't even follow your math, so I'm not paying attention to it, ok bye.

10-23-2006, 04:05 PM	#55
Afrobean Admiral in the Red Army Join Date: Dec 2003 Location: the moon Age: 38 Posts: 13,262	Re: Proof Just because it's not a finite number which can be used it mathematic operations doesn't make my statement in my previous post invalid. __________________

10-23-2006, 04:10 PM	#56
Squeek let it snow~ Join Date: Jan 2004 Age: 39 Posts: 14,444	Re: Proof I don't know what your statement is, so... Hi afro. You all got me, I said 0.9 repeating equals one in theory. But even knowing that, you can't use 0.9 repeating infinitely, so WHY THE CRAP IS THIS EVEN AROUND. Same with all threads. If what Laharl said last page about proof being objective is true, then why do we even have a CT forum?

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