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No 20 34.48%
 
not sure 1 1.72%
 
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Jay520 on 28 April 2013

chapset said:

 welll let's put a=1 ast the end problem solved

 

Put it where? I'm not sure what you mean.



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MDMAlliance on 28 April 2013
Jay520 said:
MDMAlliance said:
.999... =/= 1
It only approximately equals to it. It would be viewed the same way as a number approaches a limit, but never actually touching it. Calculus stuffs.


What number is between 1 and 0.999999...(?)


How is that relevant?  



Fayceless on 28 April 2013

Mathematically, sure. For all mathematical purposes, 0.999... = 1.

Logically, no. 0.999... only equals 1 if infinity is finite, which by definition it is not. 0.999... is infinitely undefinable, which doesn't work in concrete math, so it equals 1 in simple equations and, for our purposes, can usually be defined as such.



Jay520 on 28 April 2013
pezus said:
I thought everyone knew this o.O. Alright, maybe not everyone, but most people who are reasonably educated.


That would be offensive to many.



Jay520 on 28 April 2013
MDMAlliance said:
Jay520 said:
MDMAlliance said:
.999... =/= 1
It only approximately equals to it. It would be viewed the same way as a number approaches a limit, but never actually touching it. Calculus stuffs.


What number is between 1 and 0.999999...(?)


How is that relevant?  

 

Because if there is no number higher than 0.9999r and less than 1, then the two numbers are of the same value.



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MDMAlliance on 28 April 2013
Jay520 said:
MDMAlliance said:
Jay520 said:
MDMAlliance said:
.999... =/= 1
It only approximately equals to it. It would be viewed the same way as a number approaches a limit, but never actually touching it. Calculus stuffs.


What number is between 1 and 0.999999...(?)


How is that relevant?  

 

Because if there is no number higher than 0.9999r and less than 1, then the two numbers are of the same value.


I do not think you understand the concept.  The 9's (as we represent it as) will continue forever.  There's no end to it.  Infinity is not a number.  You may not be able to wrap your mind around that, but it's okay.  Not many people can.  

There is no "number higher than 0.9999r"  
When you go by that scale, you never reach 1 because you set your limit to 1.  There are an endless amount of points between 0 and 1.



Attoyou on 28 April 2013
AbbathTheGrim said:
But the difference between 0.9999... and 1 is .1 not 0. The 0.99999... seems like a perpetual state of waiting for that .1 but it never coming, like third parties for Nintendo.



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Book - Malazan Book of the Fallen series 

Game - Metro Last Light

TV - Deadwood

Music - Forest Swords 

Jay520 on 28 April 2013
MDMAlliance said:


I do not think you understand the concept.  The 9's (as we represent it as) will continue forever.  There's no end to it.  Infinity is not a number.  You may not be able to wrap your mind around that, but it's okay.  Not many people can.  

There is no "number higher than 0.9999r"  
When you go by that scale, you never reach 1 because you set your limit to 1.  There are an endless amount of points between 0 and 1.

 The 9's (as we represent it as) will continue forever.  There's no end to it.  Infinity is not a number. 

You must also concede that pi isn't a number either, since it repeats forever AND it doesn't have a pattern.

You must also concede that 1/9 isn't a number since (in decimal form), it repeats forever. (Even though 1/9 definitely IS a number).

When you go by that scale, you never reach 1 because you set your limit to 1.  There are an endless amount of points between 0 and 1.

Huh? I know there's an infinite amount of points between 0 and 1. There is an infinite amount of numbers between any two real different numbers. That's not the case for 0.9999... and 1.



Player2 on 28 April 2013
Wright said:
Player2 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.

It can be. infinite x 0 is an indeterminate form.


Precisely. Because of that, whatever operation you do involving Infinite will always equal Infinite. Infinite is indeterminated because you can't reach it. So Infinite + - · / anything will equal Infinite, except multiplying it to 0 because that would mean negate it, plus the result is zero.

Think of this too: Infinite - Infinite =/= 0

Before we keep going further...

http://en.wikipedia.org/wiki/Indeterminate_form

 

f(x)=x/x:

f(x) =x^2/x:

They are different and have different values when x--> 0, yet both are 0/0 indeterminate forms. Same thing happens for the others.



MDMAlliance on 28 April 2013
Jay520 said:
MDMAlliance said:


I do not think you understand the concept.  The 9's (as we represent it as) will continue forever.  There's no end to it.  Infinity is not a number.  You may not be able to wrap your mind around that, but it's okay.  Not many people can.  

There is no "number higher than 0.9999r"  
When you go by that scale, you never reach 1 because you set your limit to 1.  There are an endless amount of points between 0 and 1.

 The 9's (as we represent it as) will continue forever.  There's no end to it.  Infinity is not a number. 

You must also concede that pi isn't a number either, since it repeats forever AND it doesn't have a pattern.

You must also concede that 1/9 isn't a number since (in decimal form), it repeats forever. (Even though 1/9 definitely IS a number).

When you go by that scale, you never reach 1 because you set your limit to 1.  There are an endless amount of points between 0 and 1.

Huh? I know there's an infinite amount of points between 0 and 1. There is an infinite amount of numbers between any two real different numbers. That's not the case for 0.9999... and 1.


You completely missed the point.  I did not say non-whole numbers don't exist.  

Also, the decimal system is a form of expressing a quantity but it is flawed.  However, we can still express those numbers even though they do not fit into one system.  1/9 is expressed as a fraction.  Pi is expressed as the ratio of the diameter to the circumference of a circle.  

.999... (repeated) is expressed through series that go on "infinitely" 

There's a major difference between those.