What is the difference between “core after a small number of amplification steps” and “core after a large number of amplification steps” that isn’t captured in “larger effective computing power” or “larger set of information about the world”, and allows the highly amplified core to solve these problems?
I didn’t mean to suggest there is a difference other than giving it more computation and more data.
I was imagining Amplify(X) as a procedure that calls X a bounded number of times, so that you need to iterate Amplify in order to have arbitrarily large runtimes, while I think you were imagining a parameterized operation Amplify(X, n) that takes n time and so can be scaled up directly. Your usage also seems fine.
Even if that’s not the difference, I strongly expect we are on the same page here about everything other than words. I’ve definitely updated some about the difficulty of words.
What is the difference between “core after a small number of amplification steps” and “core after a large number of amplification steps” that isn’t captured in “larger effective computing power” or “larger set of information about the world”, and allows the highly amplified core to solve these problems?
I didn’t mean to suggest there is a difference other than giving it more computation and more data.
I was imagining Amplify(X) as a procedure that calls X a bounded number of times, so that you need to iterate Amplify in order to have arbitrarily large runtimes, while I think you were imagining a parameterized operation Amplify(X, n) that takes n time and so can be scaled up directly. Your usage also seems fine.
Even if that’s not the difference, I strongly expect we are on the same page here about everything other than words. I’ve definitely updated some about the difficulty of words.
Okay, I agree that we’re on the same page. Amplify(X,n) is what I had in mind.