the BIG question though that you need to ask to solve this impasse is :

IF 1 is greater than 0.999.... how much greater is it?

Motor Daddy,

What do you think is the solution to 1 - 0.(9) ?

And if you finally arrive at zero using the conventional mathematics system you will find that 1 = 0.999...

so far we have the conventional and mainstream accepted solution.

1- 0.999... = 0

(this has been proved as calculated as and is generally accepted ~ as terminating at 0)

then we have

1-999... - 1/infinity

this is solution requires mixing mathematical systems and a chocolate out of the box perhaps...

~ as non-terminating on both sides.

then we have

1-999...= "non-existent"

which is another version of the same thing but with a more material application. IMO ~ as non-terminating on only one side and non-existent on the other

so MD, which would you choose [if any] and why?

What does

1 - 0.999... =

to you?