0.99999999999... does not equal 1.
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Voting Style:  Open  Point System:  7 Point  
Started:  12/10/2017  Category:  Miscellaneous  
Updated:  7 months ago  Status:  Debating Period  
Viewed:  239 times  Debate No:  105698 
Debate Rounds (5)
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Surreal numbers list 1 and 1  1/infinity as different.
0.999999..x10=9.99999... 9.999999...0.99999...=0.99999...x9 9.999999...0.99999...=9 0.99999...x9=9 0.99999...x9/9=9/9 0.99999...=1 

https://www.youtube.com...
Really good explanation as why 0.9999... does not equal 1, at least, in the surreal numbers.
well you wasted a round, the last line of my proof is literelly: 0.99999...=1 unless you can point out a flaw in my proof, it seems i already won 

0.999... and 1 are certainly infinitely close, but is that really good enough?
0.999... is really 1  1 / infinity. 0.999... * 10 = 10  10 / infinity. 9.999...  0.999... = 0.999... * 9 (10  10 / infinity)  (1  1 / infinity) = 0.999... * 9 0.999... * 9 = 9  9 / infinity 0.999... = 1  1 / infinity = 1. This works in the surreal numbers, because, as the video says, 1 does not equal 1  1/infinity. Take the function 1  (0.1)^x. At x = 1, you get 0.9. At x = 2, you get 0.99, and so on and so on. The question is: What is the value at infinity? Can you really say that 1 and 0.999... are equal?
yes, you can say they are equal infinity is NOT A NUMBER therefore 1/infinity is also not a number, its so small that its practically zero... its whats called: "reaching for zero" the same way we say that 0.33333...=1/3 we say that 0.99999...=1 take for example the following problem: x=1/2+x/2=1/2+1/4+1/8+1/16...=1 however its also true that: 1/2+1/4+1/8+1/16...=(infinity1) / infinity=0.99999... therefore it is beyond a shadow of a doubt true that 0.99999...=1 

Look at the video I had about the surreal numbers. The surreal numbers list 1  1/infinity as clearly a number distinct from 1.
you have 2 problems with your argument: 1. it is only meant to work in the surreal numbers set in the first place 2. its still wrong based on my last proof, you have clearly ignored me i think this is a safe win at this point, unless you actually come up with a counterargument and stop repeating the same thing over and over again... G G 

The deeper question is what does "equals" mean. As an example, take a derivative: dy/dx. dy and dx are both infinitesimals. The question is, does an infinitesimal equal 0. If it does, then calculus collapses because that is what it is entirely based off of. If, however, an infinitesimal does not equal 0, then 0.999... (which can be written as 1  dx, where dx is some infinitesimal) is not the same as 1 because dx does not equal 0.
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Posted by WarTurtle10101 7 months ago
lol to many .999999999 I am lost.
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Posted by BryanMullinsNOCHRISTMAS2 7 months ago
What?
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