To the mathematician

So an engineer, physicist, and mathematician are staying in a motel.

Late that night, a fire breaks out in the engineer’s room. He luckily wakes up, sees the fire, and dumps water on it until it’s out. Disaster averted, he returns to bed.

Later that night, a fire breaks out in the physicist’s room. He luckily wakes up, sees the fire, calculates how much water he’ll need, and puts just enough water on it that it goes out. Disaster averted, he returns to bed.

Later still, a fire breaks out in the mathematician’s room. He wakes up, sees the fire, exclaims, “There exists a solution!” and returns to bed.