Why division by zero is undefined – inspired by chapter 1 of Calculus by Michael Spivak
Chapter 1 of Calculus by Michael Spivak begins with twelve basic axioms of the real numbers, including the existence of multiplicative inverses (a·a1=1). This axiom justifies that division is only valid when the divisor is a non-zero real number. The importance of restricting division to non-zero numbers really stood out to me when I was…
