This is a good point, but natural language has this problem to an even greater degree. What object does the word "consciousness" refer to? "Unicorn"? What makes

This is a good point, but natural language has this problem to an even greater degree. What object does the word "consciousness" refer to? "Unicorn"? What makes a ship a ship? What if we include toy ships and drawn ships? "What can math describe" is an easier question than "what is reality?" or "what is the nature of all concepts a human mind can conceive of or be interested in?". Not that it's an easy question either.