I am trying my hardest to come up with an example of an actual infinite, versus just a potential infinite, without having a platonist rationale. One book I was reading suggested the number of positions that, say, an electron could occupy on a yardstick.
I guess it could truly be anything: a ping pong ball and football field, or even a golf ball and a line segment 1 mm longer than the golf ball's diameter. But, my hangup in this, is if there are truly an infinite number of points it could occupy, then how could you roll that ball the entire length of your measure and cover every position if it truly had an infinite number of positions?
Like I said, my thinking is more nominalist than platonist, so I'm holding the position that points or numbers would be classified as potential versus actual.
Where is my inconsistency? Thanks in advance for any ideas.