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For any set of axioms you take, if they are consistent then it is incomplete. You can enhance the axiom set to extend its reach, but an adversary can always find true, unprovable s…

"[A]ll pure mathematics deals exclusively with concepts definable in terms of a very small number of fundamental logical concepts, and that all its propositions are deducible from …

I like this visual explanation of the illusion/fallacy: http://www.abarry.org/knee.htm

+1 for Information Theory, Inference, and Learning Algorithms. A fantastic book by the late David C Mackay. Part V has an interesting presentation of neural networks, but really th…

Whose standard argument? I always thought: we work 40 hours a week because we work 8 hours a day; and we work 8 hours a day because Robert Owen's mantra "Eight hours' labour, Eight…

Completely agree, and this hits close to home. I was a very math oriented student at a high school with a heavy bias towards liberal arts ... So when it came to picking senior year…

Locally != independently; the training process is recursive, so interactions between layers are present. From the paper: "The parameters of the entire SARM are solved recursively. …