This is an example of a rough draft rather than a polished one....it's from an email I just sent to "me bros": Nice points about infinity, bro... I'll try to give some feedback I agree that you can't divide one by zero. But maybe there's more than one way to ARRIVE AT the concept of infinity in mathematics. For example, they talk about nearly parallel lines that meet "at infinity," which means they keep getting closer but never touch. SECOND EXAMPLE: THINK OF THE PROGRESSION: 1/2, 1/4, 1/8, 1/16, etc. IT BECOMES zero at infinity. IN THESE TWO CASES, THERE IS No need to talk about dividing one by zero. But yes, YOU COULD OBJECT THAT these TWO counterexampleS replace one impossibility (DIVIDING ONE BY ZERO) with TWO NEW ONES: none of us is ever going to get to the infinity that lies at the end of the 1/2, 1/4, 1/8 series. Yet we can think about it: THAT'S what's amazing about math In order for mathematics to do all the...
Commentary and discussion regarding science, faith and culture by Leo White