I'm having a little trouble understanding the whole argument. It's not obvious to me why exactly this line of reasoning doesn't prove too much by ruling out human speech? Plenty of human phonemes are like 10ms long?
I have no idea why the duration of an individual click is supposed to be relevant. There's like, at least 30 milliseconds between clicks (according to Claude), and usually more than that, which seems like the relevant number to me?
Oh, I meant in the category of (topological) vector spaces, which requires the quotient maps to be linear.
I think maybe part of the confusion is that, when you're working with vector spaces in particular, subspaces and quotient spaces are the same thing.
My intuition is like... you get a topological circle by gluing the two ends of an interval together, but no subspace of the interval is homeomorphic to a circle. I'm not entirely sure that this sort of issue meaningfully impacts neural networks, but I don't immediately see any reason why it wouldn't?
1Claim 2 sounds very likely false to me.
Surely 28K should be at least 5 points!
I learned that antipsychotic medications have unpleasant side effects that can make people unwilling to get on or stay on them. Once a brain malfunctions that badly, without treatment, it never gets fixed.
I'd consider cobenfy as an option here, maybe? Or sometimes nicotine, allegedly, though that obviously isn't ideal.
Okay, this makes sense! It's not obvious to me exactly how ambitious 2 is, but I get why you might be skeptical.