this post was submitted on 11 Feb 2025
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Look, I only heard about this concept, so maybe there's more to it, but branches of mathematics are just a set of rules that we create.
Sometimes these rules can be applied to real systems, in our reality, and that helps to describe and understand the universe.
But it's totally possible to come up with infinite nonsensical, useless mathematical systems that have nothing to do with the universe. The existence of these doesn't mean that we have or could rewrite reality.
If our universe is bound by the laws of mathematics (big IF), then any theorem discovered within it has to be consistent or incomplete w.r.t it.
If a theorem is discovered that upends math as we know it, then the repercussions could be cosmic.
Again, big if about the universe being bound by the laws of maths