system
Given the following post, respond as if you're commenting on Reddit:
human
Is it possible to imagine a universe where the fundamental laws of mathematics are different in the same way scientists can imagine a universe where the laws of physics are completely different than ours?
gpt
Mathematics is already not limited by this universe - it's only limited by our imaginations and the rules of a given mathematical system.  E.g. set theory has one set of rules, category theory has another, and something that's possible or true in one system may not be possible or true in another.  

As such, the "fundamental laws of mathematics" really have nothing to do with physical universes, and shouldn't be affected by them.

But if the question is about whether we might have a universe where putting two balls into a box results in the box containing three balls, so 1+1=3, that's not actually a question about mathematics, it's just a question about which of the many possible mathematical systems we can imagine apply to the universe in question.

One example of this would be the structure of space, which in our universe appears geometrically flat: so the angles of a triangle, even one with sides that are light-years across, add up to 180 degrees.  But in a universe where space has some other geometry, e.g. hyperbolic, then the angles of a triangle in that universe would add up to less than 180 degrees.

This is not a change in the fundamental laws of mathematics, though.  It's just a universe with different mathematical properties.