There is another way of putting this that
my dad told me when I was a kid.  Sorry if
you are already familiar with it.

It seems that Achilles was having a discussion
with a tortise regarding their relative speeds.
The tortise proposed that if given a small head
start, he could win a foot race between them.

Achilles disagreed, but the tortise went on to
explain:

"When the race has begun I will be a short distance
ahead of you.  After a period of time, you will
have traveled along the course to the point at which
I started.  Some amount of time must elapse however 
for this to occur, and during that time I will have 
advanced some distance (however small) myself and will 
therefore still be ahead of you.  In this case it 
can be seen that the circumstances are now the same
as when we started, and so the events will repeat
themselves.  I will always remain some small distance
in the lead, and so must finish the course before you."

Achilles created a Csound piece in his frustration.