i came across supertasks while reading “bangs crunches whimpers and shrieks” by john earman.
a supertask is an infinite sequence of tasks that occur within a finite amount of time. how do you fit an infinite number of tasks into a finite interval? assume a one second interval. perform the first task at time 0.5 seconds, the next at time 0.75 seconds, the next at time 0.875 seconds, and so on—always dividing the remaining time in half. mathematically, you’ll end up with an infinite number of tasks in a one second interval.
zeno's paradox articulates a supertask—the task being to cover half the previous distance at each step. luckily, evidence refutes zeno's assertion that motion is an illusion.
other supertasks are not so easily analyzed. the thomson's lamp puzzle toggles a lamp on or off at each step and asks if the lamp is on or off at the end of the interval. it must be one or the other, right?
imo, a supertask feels a bit like finishing a software project. call it the generalization of the 80/20 rule.