My answer to this question is simple: Because why not? In other words, there shouldn't be any arbitrary rules that would determine what exists and what doesn't. The only rule that I can accept is: What can exist, exists. So what does "can exist" mean? I think it means it must be logically consistent, because logically inconsistent systems can't exist for the simple reason that their nature is not well defined.
Do we have a language to describe logically consistent systems? Yes, we do. It's called mathematics. Which explains why the laws of our universe are mathematical in nature: Because all logically consistent (which means mathematical) objects exist, and our universe is one of them. But is it just a random one, or there's something special about it? I'll answer this question in next week's topic: The Anthropic Principle.
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