timelets: (Default)
timelets ([personal profile] timelets) wrote2016-10-11 11:00 am
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Identity function - the automobile

A different type of engine — electric instead of internal combustion — doesn't change the car. On the other hand, making it autonomous creates a different type of vehicle.

Unfortunately, I don't know how to capture this difference in terms of category theory. Maybe it should be done through introducing a new function that reflects interaction with the environment. That is, the old car doesn't addapt to the environment, while the new one does.

Maybe I can do it through a product, e.g.

A - automobile
E - environment

f: A x E -> A

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