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"Reminds me of a similar example my high school science teacher used of standing a distance from the wall and then stepping half the distance toward the wall, and then half that distance, and so on and so on…., but never reaching the wall."

And that reminds me of this: A mathematician, a philosopher, and an engineer were having a drink together and the engineer asked "If you were standing 16 feet from a table that had a bottle of wine on it, and you were to walk halfway to the table, and then halfway again, and so on, how many times would you have to walk halfway before you reached the bottle of wine?
The mathematician said "You would never reach it because the distance to the table would always be non zero."
The philosopher said "In that case does the bottle of wine really exist or is it just a figment of your imagination?"
The engineer set a bottle of wine on a table and walked 16 feet from the table. He then walked 8 feet towards the table, then 4 feet, then two feet, then one foot, and reached out and picked up the bottle of wine and said "Four times."

It reminds me of the attempting to reach the speed of light. Theoretically it’s impossible, isn’t it? If we could generate enough energy, we could go to 99.9% of the speed of, but never quite reach it. Or so they say.