Philosophy, Philosophy Of Mathematics, Zenos Paradox, Real Number System, Dilemma.
based upon use of a number consisting of a countably infinite concatenations of 9’s: (P1) 999 … Suppose for the moment that the number 999 … is mathematically legitimate. This number has some interesting properties. Suppose that we add 1 to it: (P2) 999 … + 1 = ? How can this be done, given that