If you are counting a set that is larger than your count, you will always leave elements out.
The only way you won’t leave elements out for an infinite set is if you keep counting forever.
Re:A Bad Trip to Infinity
by cscurmudgeon on Saturday March 25, 2023 @08:49PM
(#35309346)
"If you are counting a set that is larger than your count"
What does that mean?
Missing in your definition is the operation has to produce all numbers that you are counting over.
If you are counting something, you don't leave out elements.