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 Originally Posted by seven-deuce
Strong logic, logic is strong.
@ Daviddem only realized how dumb that was after i posted it the 0.11.. thing lol
How do you do multiple quotes in a reply like if i wanted to quote davvidem in here as well instead of writing @davvidem.?
Originally Posted by daviddem
since 0.0000...1 equals zero, then there is zero difference
The difference is not "minute". The difference is infinitely small, which is another way of saying that there is no difference at all. It's not the same thing as a difference tending to zero.
Originally Posted by ImSavy
After giving it some thought, this is horribly wrong.
1-0.999.... = 0
It does not equal 0.00...01
Therefore the two aren't comparable, we'll just conclude that 0.00...01 isn't something which exists.
See here, under "argument from arithmetic": http://www.purplemath.com/modules/howcan1.htm
I will concede that 0.0...1 is not a common or conventional way of writing zero, but if you adopt the convention that 0... represents an infinite number of zeroes, then yes, 0.0...1 equals 0. Just like 0.999...8 could also represent 1 even though nobody does it. It's just that, why bother writing that last number, since there isn't a last number... So yeah, writing it is wrong, it's pretty much an implicit contradiction. Just do:
1 - 0.999... = 1 - 1 = 0. Period.
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