If all real numbers were to be multiplied to each other, what would be the product?
(a) Undefined
(b) Imaginary Number
(c) None of these
Some very interesting ideas. Unfortunately, since the reals are uncountable there is no way to order them. So there is no way to perform the task.
Well then what it we take all the rational numbers (except 0)? It would seem the answer would be 1. But, again this would depend upon multiplying each number by its reciprocal (except 1 and 1.)
The thing that bothers me is that it reminds me of the series 11+11+11... which doesn't converge. After every other term, sure it equals 1 but it's not converging.

Posted by Jer
on 20190612 19:59:30 