There is no Infinity.

I just gotta say this:












Mmmmmmmmm... Pi!










:E

Seriously, though, it sounds like the thread-starter is on the verge of discovering infinitesimals.

100 attoseconds may be the smallest amount of time that has currently been measured, but it is not the smallest length possible. I believe that that may be the planck time. Or something along those lines.

Also, I always thought that a black hole technically had no size, being a massive singularity.
 
If you took a piece of paper, tore it in half, threw one half away and kept the other half... and then tore that piece in half, threw one away, kept half, tore that half lin half, and so on... how many times could you tear a half in half?

After a few seconds thought, you'd realise on the atomic scale you could split an atom in half... but whats to say you cant split half an atom? There is no limit.
 
Pobz said:
If you took a piece of paper, tore it in half, threw one half away and kept the other half... and then tore that piece in half, threw one away, kept half, tore that half lin half, and so on... how many times could you tear a half in half?

After a few seconds thought, you'd realise on the atomic scale you could split an atom in half... but whats to say you cant split half an atom? There is no limit.
Click to expand...

Well we don't really know what makes up an atom, so we can't really say if that there is or isn't a limit.
 
pi is infinite. there is a circular room in france that has all the numbers of pi written down 3.14...etc etc... and they continue to add to it as their machine works out the next number in the sequence, therefore the true value of pi can never be reached, we only use an approximation depending on what sort of accuracy we want to achieve with our calculation. so let me say again and this is from a mathematicians mouth "pi tends to infinity"...so there. another example would be log or natural log, they both tend to infinity.

a nice example of infinity:


|-------------------------||-------------------------|

Start..........................A............................Finish

there is a race in ancient greece between hercules and a tortoise. hercules, feeling over confident tells the tortoise that he can have a headstart. hercules waits till the tortoise is at point A then he decides to set off. now here's the predicate: you can never reach where you want to go. and this was constructed by a man called Zeno of Ilya, so any flames please direct at him not me.

ok so in order to get to point A hercules has to travel half the distance between Start and A. then he needs to travel half the distance between that one, and half the distance between that one, and half the distance between that one.


||-------------------------.-------------.------.---.--.-||

hopefully that diagram will help. each dot represents the halfway point. so essentially it means you will forever travel the infinitely small distance between your previous point and the next one. you will never reach where you want to go, and it's logically correct.

so yeah, there is infinity.
 
MaxiKana said:
Well we don't really know what makes up an atom, so we can't really say if that there is or isn't a limit.
Click to expand...

Errr... yes we do. To a certain extent, anyway. Atoms are made up of Protons, Neutrons and Electrons. Protons and Neutrons are made of Quarks and Gluons.
 
people who say "there is no infinity" are apparently incapable of understanding what infinity is...or what it means.

infinity, in this case (.9 repeating = 1), is a mathematical term.

of course there is mathematical infinity. i challenge anyone to give me a number that i can't divide or multiply. i hope everyone here has had at least algebra level math and realizes how stupid it would be to try my challenege....you can always divide or multiply a number an infinite number of times...that is...every number can be divided...no matter how big or small it is.

infinity in practice is the same thing...infinity is a concept, not a possible thing to attain. you cannot go infinitely fast, and you cannot travel infinity miles.

as far as that paper-ripping example...all i have to say about that is: WTF YOU'RE NOT THINKING AT ALL.

if i rip a piece of paper in half until i get an atom, i then rip the atom in half. then i rip the half-atom in half...and so on...YAY INFINITY. it's a concept, not something you can just go out and do. clearly all of you saying infinity doesn't exist are missing what that concept is...and what it's good for.

and for everyone who's saying "9-.9/.1 = 1 MEANS ITS TRUE!!111112":
you're missing the point. you don't understand how you got to that point...you haven't taken calculus 2...you don't understand why that's true on paper but not true in fact.
 
and bahahahahha

i just realized the biggest contradiction in your argument...

your argument RELIES on infinity! .9 repeating MEANS 9's forever...9's to infinity. so you just used a number that relies on infinity to define itself to prove that infinity doesn't exist....way to go.
 
if i rip a piece of paper in half until i get an atom, i then rip the atom in half. then i rip the half-atom in half...and so on...YAY INFINITY. it's a concept, not something you can just go out and do. clearly all of you saying infinity doesn't exist are missing what that concept is...and what it's good for.
Click to expand...

its an example of what an example of infinite is.
Damn, how many people have me on ignore? You guys skiped right over my posts.
 
Actually there are only 4 and a half lines of symetry in a circle, infinity is smaller than my capacity for learning and the univers will implode if we think about this too much....PIE = Pi and infinity divided down the middle is still infinite.....hmmm.


Now look what you people have done, my post is all messed up
 
OCybrManO said:
No one here has said anything remotely near proving anything that has been mentioned.


Well, you know more than any mathematician... because no one has found an end to pi.

It takes some of the fastest supercomputers weeks to calculate pi to more than 1.24 TRILLION digits. No pattern has been found. There is no end in sight.

Humans have a hard enough time trying to comprehend it... let alone prove (or disprove) its existence.
Click to expand...
That makes it finite. If there is a repeating pattern, it must be infinite, but if it just keeps on going then in fact it could be finite. Therefore Pi can either be finite or infinite you cannot tell. Infinite defaninely exists. 0.6 recurring is- using a simple division sum you keep getting 6 to be the answer with the same remainder therefore it does in fact keep going on ..forever. And 0.9 recurring = 1 , geometric series is just mathmatical modeling so its not quite accurate but well calculus, i bet most of us here are thinking about it in a logical way and concluding without not even knowing calculus etc.... if u do know it ull probably find it is 1 , i havent but thats not the point. Infinity = good= truth dont lie to ure calculator
 
There are two ways of thinking about this.

Q 1. How many #'s are between 1 and 2

Well in a sense, if 1 can turn into a 2 at some point, there must be an end right?

In another sense, there is an unlimited amount of #'s that can go between 1 and 2.
This is the concept of infinity.

I don't think we can ever prove one or the other.
 
theres probally something like you just see black... then when you go through the edge of the universe you appear at the other end.

"wow! we just traveelled across the whole universe!!"
"..."
"how are we going to get back?"
"..."
"shit."
"i told you not to go ito there"
"is that giant fish supposed to be there?"
"..."
"dave?"
"...i just wet muself."
"..."
"..."
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA!!!!!!!!!!!!!!!!!!!!"
"that monkeys looking at you.... id run if i where in your shoes"
 
double post...got some error and thought it didn't go through
 
coolio2man said:
There are two ways of thinking about this.

Q 1. How many #'s are between 1 and 2

Well in a sense, if 1 can turn into a 2 at some point, there must be an end right?

In another sense, there is an unlimited amount of #'s that can go between 1 and 2.
This is the concept of infinity.

I don't think we can ever prove one or the other.
Click to expand...

i don't understand your first line of thought.... "1 can turn into a 2 at some point"

i just don't understand that statement at all....and nobody skipped over your posts...they were directly addressed and refuted.

i've said this before, but i'll say it again.
the mathematical statement
.9/(1-.1) = 1
Click to expand...
is true

...but it comes from the calculus concept of infinite series...and using infinite series to come up with that final mathematical statement is wrong. you're violating the concept even though the math looks right on paper.
 
IMO, infinity could exist...
take an amount...then keep adding 1 every second of your life, then you die have someone else or your reincarnation still count for you and repeat...then when the universe keeps going on and dies and gets reborn, have your other reincarnation keep continuing. And this will ALWAYS happen!:D
 
Maskirovka said:
and bahahahahha

i just realized the biggest contradiction in your argument...

your argument RELIES on infinity! .9 repeating MEANS 9's forever...9's to infinity. so you just used a number that relies on infinity to define itself to prove that infinity doesn't exist....way to go.
Click to expand...
But .9 repeating equals 1
So, some people get confused lol.
 
Maskirovka is technically right... but yes, it equals one for all practical purposes. :) And I do mean all!
 
Maskirovka said:
no...it doesn't.
Click to expand...
Yes it does.

Turn 0.7 repeating into a fraction. It'll be 7 over 9.
Turn 0.9 repeating into a fraction, it'll be 9 over 9 therefore making it a whole number;1. :|
 
The thing about arguements is that once your decided you dont change your mind. So to be honest my opinion=infinity exists believe it or dont believe it end of story
 
Tredoslop said:
Yes it does.

Turn 0.7 repeating into a fraction. It'll be 7 over 9.
Turn 0.9 repeating into a fraction, it'll be 9 over 9 therefore making it a whole number;1. :|
Click to expand...


wrong.

0.7 turned into a fraction is 7/10

0.9 turned into a fraction is 9/10
 
Dedalus said:
wrong.

0.7 turned into a fraction is 7/10

0.9 turned into a fraction is 9/10
Click to expand...
No, you're wrong-I said 0.7 & 0.9 repeating!
I guess it's obvious I should put my posts in BOLD next time.
 
Tredoslop said:
No, you're wrong-I said 0.7 & 0.9 repeating!
I guess it's obvious I should put my posts in BOLD next time.
Click to expand...


in which case you should know that you can't turn a recurring decimal into a fraction. it needs to stop somewhere for it to be called a fraction, and 0.7 recurring is an infinite number, therefore you can't turn it into a fraction. and in any case, 1 is made up of ten 0.1s, therefore it'll be x/10 not over 9. you have to take the whole and divide into equal parts. if you're dividing the 1 into 9 parts, then 0.9 does not equal 9/9.
 
Actually dedalus u can turn a recurring decimal into a fraction. You times it by 100 and take off the original value then you have a fraction : the number u get over 99
 
Tredoslop said:
0.9 repeating DOES equal 1-just ask some teacher!
Click to expand...


this is funny but i'll humour you for a while.

0.9 does not equal 1. look at it. it's 0.9, a whole 0.1 away from 1. but in maths we're taught to round numbers up. for example, if the number is 0.5 or above we're asked to round up to the nearest whole number. capish? so you take 0.9, and you just round that up to 1 to make life easier. i think you're confusing this method with something else. 0.9 recurring does not, has not and will not equal 1. Ever. seriously i'm not even joking here. you can round the number up, but you cannot make it 1 unless you add the 0.1. since we're talking about infinity here then you can never reach any number anyway. but you need to know when to draw the line and stop counting the 9s at the end of 0.9. only when you can draw that line can you say yes it can be made to equal 1. i don't want to ask some teacher i want you to tell me. find me a mathematical proof (a url not some botched job). you might as well be saying 999,999 = 1,000,000. it just isn't gonna happen.
 
Tredoslop said:
My teacher taught me you can divide it by nine.
Click to expand...


could you explain that i've never been shown that method?
 
Dedalus said:
this is funny but i'll humour you for a while.

0.9 does not equal 1. look at it. it's 0.9, a whole 0.1 away from 1. but in maths we're taught to round numbers up. for example, if the number is 0.5 or above we're asked to round up to the nearest whole number. capish? so you take 0.9, and you just round that up to 1 to make life easier. i think you're confusing this method with something else. 0.9 recurring does not, has not and will not equal 1. Ever. seriously i'm not even joking here. you can round the number up, but you cannot make it 1 unless you add the 0.1. since we're talking about infinity here then you can never reach any number anyway. but you need to know when to draw the line and stop counting the 9s at the end of 0.9. only when you can draw that line can you say yes it can be made to equal 1. i don't want to ask some teacher i want you to tell me. find me a mathematical proof (a url not some botched job). you might as well be saying 999,999 = 1,000,000. it just isn't gonna happen.
Click to expand...
In math, we were taught 0.9 repeating equals 1!:O

EDIT:K, I'm not sure about the dividing by nine method-I forgot. But, I will try to show you something like that.Just wait.
Just need to find out how to put 0.9 repeating on the calculator.
I'll also have to find my math note book & text book.
 
Yes, there are an infinite amount of numbers between 0 and 1 but, time is consistant. Also, time can't be compared to distance when it comes to infinity. Because we do not understand time. Why is there time? Why doesn't everything happen at the same time? Why can't I rewind time? We don't understand it yet, and I fear we never will. Time cannot be deciphered, only experienced.
 
Fat Tony! said:
Actually dedalus u can turn a recurring decimal into a fraction. You times it by 100 and take off the original value then you have a fraction : the number u get over 99
Click to expand...

no actually you'd have to represent it as an infinite geometric series... which would apply the concept of infinity. but i think the idea behind summation of infinite geometric series was that, if you want to add a FINITE number of terms, then the formula is S=a(1-r^n)/(1-r) where n=number of terms. and then, if you say, let's let n approach infinity (to try to find the sum of the entire infinite series) then 1-r^n approaches 1, provided that r is less than 1.... so, the formula for the sum of the infinite series comes out as a/(1-r).
 
in which case you should know that you can't turn a recurring decimal into a fraction
Click to expand...

Ever heard of .33333333333333333333333333 (Forever)?????

Do you know what that equals?!?!??!?!


1/3!!!!
 
Top Secret said:
Ever heard of .33333333333333333333333333 (Forever)?????

Do you know what that equals?!?!??!?!


1/3!!!!
Click to expand...

/me acts like Maskirovka

You're wrong. You are not as smart or good looking as I am so that makes you wrong.
/me becomes normal again (If you can call it that)

There is the concept of infinity. There is infinity. WHY DO YOU GUYS CARE IF .9 = 1?
 
Top Secret said:
Ever heard of .33333333333333333333333333 (Forever)?????

Do you know what that equals?!?!??!?!


1/3!!!!
Click to expand...


you don't turn a recurring decimal into a fraction, you need it to stop somewhere. converting it into 1/3 is an approximation and in no way mathematically sound. essentially it's a shortcut that you don't use as you get onto the more advanced stuff. just so you know, up to a certain teaching age what you just said is true, after that you leave that concept behind.
 
coolio2man said:
There is the concept of infinity. There is infinity. WHY DO YOU GUYS CARE IF .9 = 1?
Click to expand...


because we're lonely pedants...
 
He's right, .33333333(infinity) does NOT equal 1/3.

Adding a lot of ?!?!?! doesn't help.

recurring decimals are one of the errors in the 10 system
 
He's right, .33333333(infinity) does NOT equal 1/3.

Adding a lot of ?!?!?! doesn't help.

recurring decimals are one of the errors in the 10 system
Click to expand...

No, .3 infinite, does equal 1/3. It simply cannot be expressed.

recurring decimals are one of the errors in the 10 system
Click to expand...

There could be an incredible amount of systems the human race isn't even aware of.

up to a certain teaching age what you just said is true, after that you leave that concept behind.
Click to expand...

I'm in pre-calc, what else is left besides statistics and string theory?
 
To prove there is an infinity to certain things I will give you a list of things to think about and you try to tell me the answer.

How many thoughts can you think of?
How many choices of text could I have chose to put here?
John Titor could have been something other than human.
The amount of time it will take for Hl2 to be completed.

The possibilites are ENDLESS. The endless amount of possibilites of something is the concept of infinity. OKAY?!

/me sighs and wishes for hl2 to just come out already.
 
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