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thanks jerks, i got a headache now lol

+5858476493784

This math thing is really interesting. I am not a math person and I have no idea if 0.(9) = 1 or not and I have no intention to prove whatsoever... but a quick look on google and after a few readings I found this... This make sense to me and I am buying this...

http://mathcentral.uregina.ca/qq/databa ... rine1.html

my teachers found this concept hard to believe as well since the 9's are continuous to infinity but has its limit at infinity. However, they think that there is a law that you cannot add, subtract, divide, or multiply anything from infinity since infinity is not a number.

WTF? Why not render infinity useless? If its not a number then what is it?

Im gonna take a picture of the work I did and that is how it should be done, creating a new mathematical concept where infinity can be used and be added, subtracted, multiplied, and divide. I'll post it later today, I have to do the work first wakaka if anyone cares.

Here's the proof including the new concept that should be added in math world.



Sorry if the image was too big, I should have shot it in 3 megapixels instead of 5 but was in a hurry and didnt want to edit it.

umm just wondering here pinoyplaya... what grade are you in and what grade is your teacher in?

ever heard of imaginary numbers?

I'm a senior. Yes, Ive heard of imaginary numbers and infinity is NOT an imaginary number. It's not even a number but rather nonexistent. And your point is....?

You make a fundamental mistake.

0.999... has an infinite number of decimals. That is not the same as "a lot" or "very, very many", but an -infinite- amount of decimals. And mathematically speaking, infinity - 1 = infinity.

Therefore his proof is indeed correct, and it is one of many, many proofs that 0.999... = 1. Here are a few of them:

The Algebraic Proof

c = 0.999...

10c = 9.999...

10c - c = 9.999... - 0.999...

9c = 9

0.999... = 1

The Fraction Proof

1/3 = 0.333...

3 x 0.333... = 3 x 1/3 = (3 x 1)/3

0.999... = 1

Proof using infinite series

A decimal progression can be defined as a sum of infinite series, as follows:

b0.b1b2b3... = b0 + b1(1/10) + b2(1/10)^2 + b3(1/10)^3...

For an infinite progression you simply use the convergence theorem concerning infinite geometric series:

If |r|<1 the ar + ar^2 + ar^3 + ... = ar/(1-r)

0.999... is such a sum, with the common ratio 1/10, which makes:

0.999... = 9(1/10) + 9(1/10)^2 + 9(1/10)^3 + ... = 9(1/10)/(1-1/10) = 1.

More proofs that 0.999... = 1 can be found in any mathematical textbook, but I leave those up to you. Look up Cauchy sequences is you want to.

A logical deduction that doesn't use any kind of algebra can also easily be made. If 0.999... has an infinite amount of decimals, it must be so close to 1 that there is no number small enough to "fill the gap" between 0.999... and 1 - because for such a number to exist, the 0.999... sequence must have a finite amount of decimals. Therefore 0.999... = 1.

The algebraic proof in the above post does NOT prove that point-nine-bar equals one, it proves that the rules of basic algebra do not apply when dealing with infinite concepts.

The fraction proof in the above post is pure bullshit. Three multiplied by point-three-bar does NOT equal point-nine-bar, it equals one. Once again, all that is proven is that the rules of basic algebra do not apply in this situation. You didn't even do it with fractions, you just changed the fraction to a decimal approximation and fudged the numbers.

I can't comment on your "infinite series" proof because I don't feel like diving back into old textbooks to check up on the theorem you used, but I suspect it too merely proves that basic algebra is a limited branch of mathematics.

Your logical deduction is just not logical. There IS a number that "fills in the gap" between point-nine-bar and 1. It's point-zero-bar-one. Which is the solution to 1 minus point-nine-bar. It is in an infinitely small number, like a zero-dimensional point in space; just because it has no length, breadth or width doesn't mean the point does not exist. The same logic applies to point-zero-bar-one.

Ive already seen this equation and studied them. But it is still wrong to say infinity minus the largest number in the whole entire world people could come up with is still infinity. Infinity needs to have a limit thus infinity minus the largest number in the whole entire world people could come up with should still be infinity minus the largest number in the whole entire world people could come up with instead of equaling it to infinity.

The only thing is.... there is a very minute and i mean minute difference in having 9X = 9 rather than 8.999999 (repeating to infinity followed by 1)1, that you cant even see the difference.

like say...........

X = 0.111111111 repeating to infinity (not equal to 1/9) because there is always a number after the 1 when its 1/9.
10X = 1.11111111 repeating to infinity minus 1
10X - X = 1.111111111 (repeating to infinity minus 1) - 0.1111111111 (repeating to infinity)
9X = 0.99999999999999999 repeating to infinity
X = 0.111111111111111 repeating to infinity which is still the same as the regular X as it was before.

1/9 however is a fraction, your calculator will give you and tell you that its 0.11111111111 repeating to infinity but its not............ its 0.11111111111 repeating to infinity minus one followed by c which is another constant number we do not know, well, at least i dont know.

so 1/9 times 9 is 1 not 0.999999999999999999999 repeating to infinity that only works if its 0.111111 repeating to infinity is multiplied by 9 then you get 0.999999999 repeating to infinity.

Many people confuses this concept even great mathematicians and they just believe it but I surely dont. It's like saying in physics................ the closer you travel to the speed of light, the longer you live. Well thats not really the exact words but its suppose to be the closer you travel to the speed of light, time will travel slower.

So say when I travel at the speed of light from earth to another galaxy far far away, and say it only took me 4 hours on my watch that I was wearing, and came back to earth right away giving a total of 8 hours at the speed of light, they say that the people in earth is gonna be about years older than they were the last time I saw them. Im like WTF? You cant slow time down, you can however, increase your speed in order to reduce time but not slow it down that it would actually affect everyone else other than you.

Yet again, this is just a theory someone made, I think Ienstien (dont know how to spell his name) or something. Yet has it been proven true?

Anyway, dont know what to say after all that space time thingy crap. But ye. Ima get somethng to eat and read about that Cauchy sequences thingy. See if that will prove me wrong.


Edit: the thing I talked about....... where 1/9 is not equal to 0.1111111111 repeating to infinity its actually 0.111111111111 (repeating to infinity minus one followed by a constant c)......

C is the remainder of that. Here's how it works......

You can never get a real number from the fraction 1/9, you will get a complex or something so.....

Lets do this in old school way.....
1 divided by 9, you cannot do it so you get 0 thus the first 0 in 0.111111

Now, you add a zero, giving you ten....... 10 divided by 9 is 1 thus you get the next one from 0.11111111111

Now, your remainder is 1 add another zero and it goes never ending
So the answer will eventually be 0.11111111 (repeating to infinity minus 1) followed by another constant and still i dont know what it is in this case because it just keeps going and going and going. Like Pi, it keeps going and going and going.


Edit: well I guess the value for C is one then....... correct me if im wrong, but thats my guess since its the only number we keep getting.

Or not because the remainder is 1 not quite sure, but c and the remainder can be be equal but not always.

For crying out loud, mathematics is not about opinions, it's about facts! Go read a mathematical textbook, please! The definition of infinity is THAT IT HAS NO LIMIT! That is the very definition of infinity. Until you understand that, you can't understand that 0.999... = 1.

Um....... ok so tell me, what is infinity minus the the largest number/amount in the whole entire world?

So say..... infinity minus that number equals infinity? So then, whats infinity divided by infinity?

Let me ask that again..... whats infinity divided by infinity? Im gonna wait for your answer and then see what you come up with.

lol@math nerds proving something that doesn't translate into real life. Or SRO even.

LOL, this game wouldnt even exist without math.

It's not that simple. There's countable infinity and there's uncountable infinity. There are concepts like cardinality and ordinal numbers in set theory that go waaaay beyond all these silly little algebraic proofs that are hip with the honors math kids in high school.

+1

its not calculus... its algebra (one variable algebra i think????) =S

LOL

but i agree with plus... let's just wait and see....


edit:

prove that sin x = 6n. hahaha

Oke, and what is now the answer? The outcome.. ?:P

Hey pinoy I see you got a calculus book behind that so called proof of yours, why don't you read up on limits and convergences, then come back to this debate with a little more insight... not trying to be mean or anything but your argument there sounds like something out of a 12 years old. Ohhhh, why not the whole entire universe......

Infinity is more of a concept than a quantity, infinity is ever growing, so if you add in or take away a constant amount from something that’s ever growing, it’ll still be ever growing.

And to answer your question on what is infinity/infinity, well it’s indeterminate, since infinity is not a physical quantity, but we can approximate it by using l’Hopital’s rule with 2 functions that approaches infinity, again going back to limits and convergences. Btw l’Hopital’s rule is a fundamental concept which should also be covered in that calculus book of yours, or you can look it up on the net.

Also it's 2 different concepts we're talking about here, 0.999999 = 1 is convergence, infinity is something else.

I dont get what all this arguing is about, this



Is correct, ive tested it, it works. Why is everyone arguing over it?

i tested it using http://bobtheveg.dyndns.org/SRO/Char_Build_Applet/ which i know is correct because i used it from almost lvl 1 up to lvl 52 with my current char and its been correct all the way

the game is only 0s and 1s.... how can it have infinity? lol

sorry im no math wiz.... but what is really the point of arguing over this infinity thing ??

tell me... for ordinary people like me.... am i able to use that infinity concept/calculus in real life? i mean... i think all i need is the ability to add/subtract/multiple/divide MONEY LOL

one can't have infinity amounts of money..................................

True, but these proofs have been used in mathematical textbooks at least since the early 19th century; proofs have been published by mathematicians like Midy, Leavitt, Fred Richman and even old Euler himself.

This works not only in our base 10 system, of course, but in any base. For example, in base 3, the ternary numeral system, 0.222... = 1, and this is a key point in constructing a Cantor set - and there is your cardinality for you. http://en.wikipedia.org/wiki/Cantor_set

There's an error in your reasoning. You state that if 0.99999.... "has an infinite amount of decimals, it must be so close to 1 that there is no number small enough to 'fill the gap'". That just means that 0.99999999999 is the largest number in existance that is smaller than 1, but it is still smaller than 1. 0.99999999 is not equal to 1, it is smaller than 1.

Similarly, 0.3333333... does not really equal 1/3 because 1/3 is a real, finite number. 0.3333333.... goes on forever. The more 3's you add to the decimals, the larger the whole number gets. 0.3333333.... (and 0.9999999...) are infinitely growing, whereas 1 and also 1/3 are not growing.

Yes, but what I'm saying is that the proofs aren't *true*, strictly speaking. They do not prove that two unequal numbers are equal. They point to the need for more advanced mathematics.

if i was a mod i'd lock this thread due to headache developing.

omg thanks for posting a large pic of garbage, and this thread is so stupid, please get rid of it. unnecessary server space being taken up.

This is what ive been trying to say but just couldnt come up how to explain it without showing work. But i believe i did mention that 1/9 is not equal to .111 repeating but its just an approximation.

Thats why that equation.....

X = 0.99999 repeating
10X = 9.9999 repeating
10X - X = 9.999 repeating minus 0.999 repeating
9X = 9
X = 1

...... does not work right as X should continue to maintain its value. There is no variable in the world that can have two different values of its absolute values (I said absolute value because in functions such as X^2, you get a negative and a positive value for X).

So, that other proof 1/3 = 0.3333 repeating is not true but can be true in some ways as it is how we have been taught. But 1/3 is approximately 0.3333 repeating not equals but rather "approximate"

The reason why the topic came from that mathematical equation to something infinity was because I wanted to show a proof and the only way to understand it is if you but a limit to how many times the number is repeating otherwise, you will never get the correct answer because you just cant solve it as the number is repeating to infinity. And because we cannot add, subtract, divide, or do anything with infinity as it has no real value but just a concept, that algebraic proof can never be proven wrong or right in a way. Pfft, I cant explain anything today

But ye, this topic should now be closed and bring to an end, till next time. Im suprised mods havent locked this thread yet.

nobody would play till 150 i think.. even with bot levelup at like lvl 120+ would take A LONG time...

I'd say it's about 32.33 repeating, of course, percentage of survival.

um.. i guess this topic is fun to read when you're REALLY, REALLY bored.

+1 at the headache.