u/Eisenfuss19

u/TamponBazooka defines 0.9... as the biggest number smaller than 1.

This must also imply that there is a smallest number bigger than 1 lets call it ψ. This can be constructed by subtracting 0.9... from 2.

ψ = 2 - 0.9... > 1

Now my question to anyone willing to participate is, how do we write this number? Surely there is a simpler form than a term with two numbers.

You might think we should just write it as 1.0...1, but u/TamponBazooka has previously stated that something like 0.9...5 is ridiculous and does not exist, so I would assume 1.0...1 also doesn't exist.

Additional numbers where representations should be found:

smallest number bigger than 0, constructable by ψ - 1

biggest number smaller than 0, constructable by 0.9... - 1