Mathematical
Thomson's Lamp
A lamp switched infinitely many times - on or off?
Overview
A supertask paradox about completing infinitely many tasks in finite time.
A lamp starts off. At 1 minute to midnight, turn it on. At 30 seconds to midnight, turn it off. At 15 seconds, turn it on. Continue halving the time. At midnight, after infinitely many switches, is the lamp on or off?