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zero_call comments on Less Wrong Q&A with Eliezer Yudkowsky: Ask Your Questions - Less Wrong
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Thanks for trying to clear that up but again, you're not understanding the piano example. I'm not going to repeat it again as that would just be redundant, but if you read carefully in the example, you see that there is an empirical evidence of recursive self improvement. This isn't a matter of confusion.
The pianist may seem like they are just practicing to get better, practing some more to get even better, as you say. However, if you look at the final product (the highly experienced pianist) he isn't just better at playing -- he is also much better at learning to play better. This is RSI, even though his intentions (as you correctly say) may not be explicitly set up to achieve RSI.
I reread it (here, right?) and I don't see anything about recursion.
Yes, a master pianist can learn a new piece faster than a novice can, but this is merely... let's call it concentric self-improvement. The master is (0) good at playing piano, (1) good at learning to do 0, (2) good at learning to do 1, etc., for finitely many levels in a strict, non-tangled hierarchy.
This is fundamentally different-in-kind from being (0) good at playing piano, and (1) good at learning to do 0 and 1. ISI grows linearly, CSI grows polynomially (of potentially very large degree), and RSI grows superexponentially.