The Physicist runs to a chalkboard, calculates exactly how much water he will need to put out the fire, runs and finds that amount, puts out the fire, and survives.
The engineer pulls out a calculater, calculates exactly how much water he will need to put out the fire, runs and finds 10 times that amount, puts out the fire, and survives.
The mathematician runs to a chalkbaord, calculates exactly how much water he will need to put out the fire, declares, "There IS a solution!", and then burns to death.
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