Originally Posted by Scott Campbell
Originally Posted by John Lawrence Schick

A couple years ago I got into a debate with a mathematician. I told him if you keep dividing a number in half, it will only keep getting smaller and smaller. He explained to me with long complex equations where it would eventually be "0" (nothing).


You were both right, John - it just depends on how you define "eventually". To a mathematician, "eventually" generally means "at infinite time". smile

Scott


Yes Scott, I can understand the mathematician's point of view. And for all practical purposes the number would become so close to "0" that it makes sense to label it zero.

However, commonsense tells me if something continues to be cut in half, it will always be something. Though I’ve never taken this math problem to infinity. Maybe it will eventually become nothing. grin

John smile