| dsgrue3 said: f(x,y) = x + 2 I can put an inifite number of y-values for any x to satisfy any output. Either way x = 0.999... is not a function, as I've beaten to death already. |
I never said x = 0.9999 is a function. Not sure what the other things have to do with what I said either. Let me put it this way:
If x^2 = y^2, then we don't know if y = x. We just know y = x OR (-x).
HOWEVER
if 10x = 10y, then we know x = y.
if 9x = 9y, then we know x = y.
if x/9 = y/9, then we know x = y.
Using these operations, we know 0.999... = 1
The above is always true. That's why the operations I used works, and the square operation would not have worked. And that's why I didn't use the square operation. So proving that the square operation brings back weird results does nothing to discount what I did, because I did multiplication and subtraction, which DO NOT give off weird results (unless 0 is used).
Had I used the square operation, then you would have a point. But the operations I used are always fine for any number, which is what SuperMarioWorld tried (and failed) to disprove.
Again,
Because the square function is not one-to-one, we cannot know if x=y even if x^2 = y^2.
However, if 10x = 10y or 9x = 9y or x/9 = y/9, then we do know x = y. This works all the time unless 0 is used.
