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Are You Open to Hypercomputation?
The difference between mathematics and computation, at least in the standard sense in which we normally teach mathematics at school, is that mathematics has no states. Everything in mathematics just is eternally. And if you want to go through the sequence of states, you put an index into the formula. But still, everything is there at the same time. The index is just a way to access this thing. This way of having mathematics stateless is very elegant because it allows us to define functions that have infinity-many arguments. If you would have a state machine that tries to consume infinity- many arguments, it would never finish before it goes to the next step. In the middle of the function, if