In a state stateless system, you still need to actually execute all the transactions. The elegance of statelessness is like realizing that executing is actially not a big deal. And also, like alsdone, loading all the blocks is not the biggest problem. If you look at what the big problem of running etheum, notice it's all about every transaction touches like different parts of you. Once you put it on a hard disk, it just becomes very, very slow. That's why statelesness goes such a long way.

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