Based on what goes on in every cell in our bodies when it comes to the information processing involved with DNA, I don't think there is any such algorithm which is fundamentally not realizable in biology. I'll grant you, I don't think biological neurons are calculating derivatives across connection strengths, but there must be some analogous process to control neural connection strengths.
When an implementation of AGI comes around (yes, it will come around) it will inevitably involve a number of different neural nets working together in concert as separate subsystems. That's what makes these "Neural Nets Will Never Become Conscious!" articles so hilarious.
But yeah, I could see feeding the output of an array of sub-networks into a parent network. So think one NN for vision, one for hearing, etc, etc, all of those outputs feed into a parent level network that could be your abstraction network that deals with making executive level decisions.
Pretty interesting that he says reasoning and long term planning are impossible tasks for a neural net, when those tasks are done by billions of neural nets every day. :^)
Once people come up with a way to have a computer think abstractly it's just a matter of linking together a bunch of different subsystems. Your brain works the same way (try getting your visual cortex to come up with your next tic-tac-toe move).
Shouldn't we be researching ways to terraform Mars from afar rather than ship a couple humans to go live in the middle of red rocks for a few decades and then die?
Yeah, it seems obvious that they purposely don't assign the track until the last minute for a good reason, so of course they'd want to shut down any software to try and circumvent that system.
Yet none of those same people have an issue with taking their phone out of their pocket constantly and glancing at it which has... a camera on the front! But I could see the issue of never knowing whether or not the glass camera is recording and whether that recording is going to wind up on youtube.