hey, what's the smallest number greater than zero?
think of a number greater than zero.
is this like a magic trick?
in a way, yes.
cool! i like magic tricks! alright, got one!
halve it
halve it again
halve it again

*** several minutes later ***

halve it again
um, how long is this going to take?

*** several hours later ***

halve it again
are you following me?!?!??!

*** several weeks later ***

halve it again
please! i can't take it anymore! can't we just call it quits and round it down to zero?!?!?!
certainly not! halve it again...