Philosophy, Philosophy Of Mathematics, Zenos Paradox, Real Number System, Dilemma.
arithmetical statement about such decimals is correct (Wildberger, 2015). As this is a general problem for the conception of real numbers as infinite decimals, not being able to prove that various axioms of (A1) — (A13) hold for 999…, is thus not an objection to 999… being a real number. But