I've been thinking about something related recently. I was wondering if the only number that truly exists is One. Zero is nothing and therefore doesn't exist, and all that does exist is eventual composed of One.
I had a similar thought about numbers that exist or don't. In my book, something like two or ten exists - because my kid can hold up 2 fingers and say 2 or all of them and say 10. I am saying that you can actually count to those numbers in physical space. But at some point, the number is like larger than the number of atoms in the universe (or whatever you think is the biggest domain we can count) and once you go pas…
This despite there being ( 10 x 9 ) groupings of pairs of those 10 marbles?
For any of those 90 pairs we can show a physical example of ( this marble, that marble ).