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The Importance of a Decision Procedure in Physics
I find things a lot more interesting if I can't come up with a decision procedure to do them. It seems like in physics some of the simpler questions are some of the hardest answer. One of my friends is currently working on trying to improve the bounds on the busy beaver function so she's trying to figure out exactly which five state Turing machines hold instead of running forever. Knowing whether a Turing machine holds is like the purest form of having a math question.