If they are not equal please find a number between them.Quote:
Originally Posted by random25
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If they are not equal please find a number between them.Quote:
Originally Posted by random25
1.9 and a half 9 and a half, 9 and a half
Well. If you place an infinite number of 3's behind 0.333... you won't have to round it. It will be 1 then.Quote:
Originally Posted by random25
0.959595 isn't between 1 and 0.99999... Stick your half on anywhere, whether it is 0.95 or 0.999999999999995 and there will always be another 0.999999.. that is larger than it and still less than one - hence why it is called infinitely recurring.Quote:
Originally Posted by Genesis F5
There is no rounding involved. It isn't that 0.999.. is kind of close to one, it is exactly one. They are just different representations of the same thing. If you think they aren't the exact same (no rounding), then find a number between them.
*opens bottle of aspirin...takes one pill *gulp* Nope...not feeling any better
* ...takes 2 pills nope...nothin
*empties bottle into mouth, passes out, hits head on coffee table mmm, better :faded:
Hahaha! Whoaaaaa, Hysteresis, it was just a joke. :D
Genesis F5, the internet must be taken with the utmost seriousness or we are doomed to failure!
*turns on sarcasm radar* :angel:
oh yeah well find a number between 2 and 1.999999999999999999999999999999999~
doesnt this in turn make 2 = 1.9 as well?
no it doesnt it only works with 1 and zero.
You're missing the point. It does however mean that 2 = 1.9999...
you outa control. the very fabric of our world is tearing apart as we speak. you my sir have ruined my internet experience.
My pleasure, please pay at the door.
There is nothing between the two, that would violate the whole concept of infinity.Quote:
Originally Posted by Hysteresis
If you math shows that 1 = 0.999... then your math is flawed!
This is more a proof of a flaw in the way we handle numbers than it is proof that 1=0.999...
No matter how far you continue with 9s it is still not 1.
It is always infinitely smaller than 1.
But don't take my word for it, keep running those 9s out, let me know when you get to 1, I'll be waiting. :rolleyes:
2+3=5!
Plus tax!Quote:
Originally Posted by The_Xell
And tip?
yea, you gotta leave a tip.Quote:
Originally Posted by Genesis F5
Given any two real numbers, there are two mutually exclusive cases:Quote:
Originally Posted by random25
1) They are equal and there exists no real number between them or
2) They are not equal and have a number between them.
If A and B are two real numbers where A < B or A = B, then they must have an average C = (A+B)/2 a real number. If C equals A, then A must equal B. If C does not equal A then we must have A < C < B
3)They are not equal and there exists an infinitely small number between them.Quote:
Originally Posted by yasunobu13
That Number would be .000... with a 1 stuck on the end of it when you reach infinity.
What you just said doesn't exist and is complete nonsense.Quote:
Originally Posted by random25
If that were the case then the function y=(c+x)/2 would be non-continuous for some (or any it seems) constant c.
The number 0.000... 1 is not a valid real number, it's made up drivel that does not exist anywhere on the real number line.
Then by that logic neither is 0.999...Quote:
Originally Posted by yasunobu13
Maybe you damned mathematicians just haven't figured out a nice way of expressing an infinite amount of digits followed by another digit.
1 - 0.999... = 0.000`1
1 - 0.999`8 = 0.000`2