Zeno's Dichotomy Paradox

[ P6 Maths and up: Number Patterns ]

Kept you waiting, huh?

Here's a mind-boggling puzzle for you to think through:

Is this the first you've heard of Zeno's dichotomy? Have you ever felt like you've come across a similar problem, or thought about something like this? What do you think would happen if you changed the structure of the partitioning, where instead of halving it all the time, you increased the amount you're abbreviating?

Unlike social problems, mathematical problems tend to have a concise, well-behaved answer. Don't be afraid to go and search out the answers, experiment with and break the rules of mathematics.