The Futurama theorem

In case you don’t know, Futurama is a popular science fiction – I highly recommend it, as a matter of fact, but that’s more of a personal preference. What’s interesting about it is that a mathematical theory was created especially for it, or for an episode to be more exact.

The theory refers to a hypothetical scenario where two persons have used a machine to swap their minds, but cannot directly change them back due to an immune response. The theory from the mathematical field of study called group theory says that no matter how many people have swapped minds with one another, they can still get back to the original configuration with two additional individuals who haven’t swapped minds with anyone. The theory was proven by the show’s writer Ken Keeler, who also has a PhD in mathematics.

For the ones of you who like math, I think you should try and demonstrate it for yourself, it’s quite interesting. For those interested about this, but really that savvy, there’s also a demonstration on Wikipedia. Either way, who says cartoons aren’t smart ?

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  • xew

    I might be wrong but I think there was a Stargate episode which featured a machine that could swap minds. It had the same problem (i.e. could not swap minds back).

    An old guy living on another planet managed to exchange bodies with Daniel Jackson in order to get a longer life. Eventually, SG1 discovered that Daniel wasn’t himself and with two additional people, they solved the problem.

  • xew

    Just checked, and yes : “Holiday”
    Season 2, Episode 17

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