There was a mad scientist ( a mad ...social... scientist ) who kidnaped
three colleagues, an engineer, a physicist, and a mathematician, and locked
each of them in separate cells with plenty of canned food and water but no
can opener. A month later, returning, the mad scientist went to the engineer's
cell and found it long empty. The engineer had constructed a can opener from
pocket trash, used aluminum shavings and dried sugar to make an explosive, and
escaped.
The physicist had worked out the angle necessary to knock the lids off the tin
cans by throwing them against the wall. She was developing a good pitching arm
and a new quantum theory.
The mathematician had stacked the unopened cans into a surprising solution to
the kissing problem; his dessicated corpse was propped calmly against a wall,
and this was inscribed on the floor in blood:

Theorem: If I can't open these cans, I'll die.
Proof: assume the opposite...