As the story goes, Prometheus stole fire from the gods of Olympus and gave it to humans. This made Zeus very angry. Prometheus was told to return the fire by 1:00pm, an order that he defied.

To punish Prometheus for his disobedience, at 1:00 pm, Zeus paused time (he can do this as a god), and conjured up an infinite number of demons. To the first demon he said:
"If Prometheus is still alive at 2:00 pm, kill him!" To the second one he said:
"If Prometheus is still alive at 1:30 pm, kill him!" And to the third:
"If Prometheus is still alive at 1:15 pm, kill him!"

So he kept ordering each of his demons to kill Prometheus in half the time of the demon before. After giving orders to all the demons, Zeus un-paused time again and waited.

At two o'clock, Prometheus was dead, and the council of gods was none too happy about it. They told Zeus:
"Tell us which one of your demons killed Prometheus, so that we may punish him!"

"But none of my demons could possibly have killed Prometheus!" answered Zeus. How can this be?

This paradox is flawed. Given the premise, Prometheus would never be killed, as, a la Xeno's paradox of motion, this paradox assumes an infinite number of moments (since an infinite number of demons is presumed) when time commences. (No demon would get to kill him, as there would for each be a prior moment (half the alloted time earlier), when another demon should have killed him, ad infinitum.

Posted by lone on 2004-12-03 07:55:31