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Q: If we meet aliens, will they have the same math and physics that we do?
We’re sure to have figured out stuff they haven’t, and they’re sure to have figured out stuff we haven’t. Same laws, different intuition. Like the abacus/yupana and big-rock/hammer parallels, these different theories do exactly the same thing, but look pretty different. At the very least, our physics and Alien physics has to describe the same universe. So, while they may have a completely different approach, it should look familiar, and ultimately do the same stuff.
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