But then, as Noah Millman points out: “How many ordinary arithmetic signs
are you allowed to use? If the factorial is allowed in as a valid symbol,
and you are allowed to use any number of symbols, then one digit is enough
to get you to infinity: 3!!!!!!!!!!!!!!!!!!!!!!!!!!!! . . . . etc., and,
indeed, any integer above 2 with an infinite number of factorial symbols
after it is infinite. I say, leave the factorial symbol out.”
D’you ever get that feeling that you wish you’d never started something?