Philosophy, Philosophy Of Mathematics, Zenos Paradox, Real Number System, Dilemma.
for all y ∈ A, and such that if z is also an upper bound for A, then necessarily z ≥ x. (A13) (Existence of least upper bounds): Every nonempty set A of real numbers which is bounded above has a least upper bound. We will call properties (A1)–(A12), and anything that follows from them, elementary