Lots of things don’t exist. Bigfoot, a planet between Uranus and Neptune, yummy gravel, plays written by Immanuel Kant, the pile of hiking shoes stacked on your head — so many things, all of them not existing. Maybe there are more things that don’t exist than we have names for. After all, there are more real objects than we have names for. No one has named every individual squid, nor every rock on Mars, nor every dream you’ve ever had. The list of existing things consists mostly of nameless objects, it seems.
So there also must be a lot of nameless things that don’t exist. The collection of two marbles in my coffee mug — call it “Duo”. Duo doesn’t exist. Nor the collection of three marbles (“Trio”), nor the collection of four marbles, etc. Beyond Duo and Trio, there is an infinity of collections of marbles in my coffee cup that don’t exist, and the greatest portion of them, by a long shot, are nameless. Think of all the integers that don’t exist between 15 and 16. None of them have names. The world is full of them, or it would be, if they existed.
My guess is that there are more nameless things that don’t exist than there are nameless things that do exist. I have read that there is a finite number of particles that exist in the universe, and that’s probably going to limit the number of nameless existing things, somehow. But think of all the particles that don’t exist! There are far more of them, right?