Following up on my post about the philosophy of ruliology and cellular automata, I decided to look more into the concept of ruliology. And what better way to explore ruliology than by reading the writings of the term’s inventor Stephen Wolfram? So, over the past month, I have read "A New Kind of Science" by Steven Wolfram . After diving into the book, however, the last chapter left me pondering the Principle of Computational Equivalence. And as I head into the Wolfram High School Summer Research Program this summer, I thought I might write some philosophical questions down about this concept. This principle proposes a profound idea that may reshape our thoughts about the universe and our place within it. But what does this principle really mean, and how does it connect to broader philosophical questions? What is the Principle of Computational Equivalence? Wolfram suggests that systems capable of doing computations, whether they are human brains or simple algorithms, have equa