"cut the ball into 5 pieces" is not the best description.
A better one is:
2a. Split the ball into infinite pieces
2b. Divide the infinite pieces into 5 groups
> 2a. Split the ball into infinite pieces 2b. Divide the infinite pieces into 5 groups
Huh? The ball is already composed of infinite points. So in 2a you recognize that the ball exists, and then in 2b you cut it into pieces. But it seems superfluous to mention 2a separately.
