0.999... is an asymptote and an idea or representation, but not truly a number, ergo, the apples and oranges. In both equations, 0.9 is valid, 0.99, 0.999 etc. to 0.999... at which point it ceases to be a number of any real value other than a representation. The inverse would be 1. ...001 ...001 ...001 which is obviously invalid and the number added to make it 1 would be 0.000...1 (10 raised to a negative infinity or 100 raised to a negative infinity or 1000 raised to a negative infinity), again an invalid number. In the first formula I presented, we can play the game of it is close enough, however, the second formula has two different asymptotes depending on the direction approached. Zeros are tough enough, but once any type of infinity is placed anywhere in any equation or number, all ceases to be anything but a representation of an idea.
Like I said, there is a god/there is no god. Obviously, none of us intend to change sides.
Like I said, there is a god/there is no god. Obviously, none of us intend to change sides.
You make people miserable and there's nothing they can do about it, just like god.
-- Homer Simpson
God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers
Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders
Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy
-- Homer Simpson
God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers
Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders
Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy