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Futurama Facts
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For all things Futurama
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They actually created a mathematic proof to solve the body switching episode. Iirc they even got it published.
They could have just watched Stargate SG1 that did the exact same thing.
Writing a mathematic proof is a whole different ballgame than figuring out the solution to a problem. You have to definitively prove that the solution is applicable to any problem matching the criteria.
Group theory courses love that episode