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sbenthall comments on What is optimization power, formally? - Less Wrong
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Norbert Wiener is where it all starts. This book has a lot of essays. It's interesting--he's talking about learning machines before "machine learning" was a household word, but envisioning it as electrical circuits.
http://www.amazon.com/Cybernetics-Second-Edition-Control-Communication/dp/026273009X
I think that it's important to look inside the boxes. We know a lot about the mathematical limits of boxes which could help us understand whether and how they might go foom.
Thank you for introducing me to that Concrete Mathematics book. That looks cool.
I would be really interested to see how you model this problem. I'm afraid that op-amps are not something I'm familiar with but it sounds like you are onto something.
Thank you for the book. Just ordered it.
You're welcome. It is the most fun math book I ever read.
Currently it is just a bunch of PDEs on paper. But I really want to write a post on this as this could provide some mathematical footing for many of the fooming debates.
One problem I'm stumbling with is the modelling of hard practical physical limits on computational processes. And I mean really practical limits that take thermodynamic into account, not these computronium bounds that are much too high. Something that takes entropic cost of replication and message transfer into account.