Philosophy, Philosophy Of Mathematics, Zenos Paradox, Real Number System, Dilemma.
(Associative law for addition): a + (b + c) = (a + b) + c (A2) (Existence of additive identity): (∃ 0): a + 0 = 0 + a = a (A3) (Existence of additive inverse): a + (−a) = (−a) + a = 0 (A4) (Commutative law for addition): a + b = b + a (A5) (Associative law for multiplication): a · (b · c) = (a · b)