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Forums - General - 0.9999.... = 1.0

 

Are you convinced?

Yes 34 58.62%
 
No 20 34.48%
 
not sure 1 1.72%
 
Total:55

I think anything in maths or almost every theory becomes counterintuitive when we enter to the realm of the infinite. We can´t even grasp the notions of infinity or vacuum (null set). We just treat them semantically, but that doesn´t mean we understand them. 



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Tbh all this shows is how flawed humanity's understanding of existence is



BenVTrigger said:
Tbh all this shows is how flawed humanity's understanding of existence is

Ermm... How come? It's a cusiosity, and humans like to discover things and understand them.



morenoingrato said:
BenVTrigger said:
Tbh all this shows is how flawed humanity's understanding of existence is

Ermm... How come? It's a cusiosity, and humans like to discover things and understand them.


Because logically it makes no sense and there is no example in all of existence of 0.9999 actually equalling 1

the purpose of math is to explain numerically the world and forces around us.  If you can brake the math to say things that brake the basic laws of our universe there is an error in the system, and thus not true



Jay520 said:
Wright said:
Player2 said:
Wright said:
The problem comes when you operate on an infinite scale. There's no way you can reach infinite. Infinite + 1 = Infinite. Going by that logic, yeah, the diference between 1 to 0'9999...·n Infinite is 0000000.... ·n Infinite + 1. And Infinite + 1 = infinite. So there's no difference between 1 and 0'99999....

1/0 = infinite :P


Then Infinite · 0 = 1?

Think about it.


Yeah, you cannot divide by zero because it doesn't make sense. Not even 0/0.

"Those who devide by zero also eat little children" my cryptography-professor always said ;)



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There should be no argument. 0.9999... = 1. They're the same thing. Red is red. Blue is blue. Water is water. 0.999999... = 1. Take an Introductory Analysis class, where "infinity" is treated rigorously so that some of you "logicians" can't make up weird, subjective arguments.

The funny thing is that the people trying to dispute it are taking a condescending attitude, as if they know better. If you're going to go against the established knowledge in mathematics, of all things, then at least be humble about it.



TheLivingShadow said:

There should be no argument. 0.9999... = 1. They're the same thing. Red is red. Blue is blue. Water is water. 0.999999... = 1. Take an Introductory Analysis class, where "infinity" is treated rigorously so that some of you "logicians" can't make up weird, subjective arguments.

The funny thing is that the people trying to dispute it are taking a condescending attitude, as if they know better. If you're going to go against the established knowledge in mathematics, of all things, then at least be humble about it.


If your referring to me I'm not being condescending at all.  I respect Math

that being said there is room for error in all things.  I'm simply saying if mathematically you can make something something it's not on an infinite scale it is probably a reflection of human understanding not being able to properly understand infinity or how math would even work on an infinite scale

And ironically you enter the thread shouting things like calling people "logicians" and their opinions weird but then go on and say act humble.  Look in a mirror



Actually, its like an Asymptote, it approaches the number 1, but never becomes the number one.

I could also say the last digest of Pi is 3. (If you say no, then prove me wrong, by all means.)



 

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.999999....=1

There is no doubt about it. And before someone tries to tell me I dont know what I am talking about. I am on my second semester as a math Phd student :P



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http://en.wikipedia.org/wiki/Limit_of_a_sequence
Some here already said it right: the sequence of 9s is converging to 1. It would reach it, if the sequence is infinite, that what was meant. But in the end a infinite sequence of 9s after decimal point never occurs in correct calculation. You could write 1/3 in decimal form (actually you can't as it is an infinite sequence) and multiply it with 3. If you plain multiply each of the decimal numbers it seems, like the result wouldbe 0.999..., but in reality the carry you would have after infinite number of operation would make it 1. Really, the number 0.999... (if the sequence goes on infinite) doesn't exist.
That doesn't break math as some here claim, math pretty good handle this.



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