Thanks! Is there any literature on the generalization of this, properties of “unreachable” numbers in general? Just realized I'm describing the basic concept of computability at this point lol.

Is there a term for/literature about the concept of the first number unreachable by an n-state Turing machine? By "unreachable," I mean that there is no n-state Turing machine which outputs that number. Obviously such "Turing-unreachable numbers" are usually going to be much smaller than Busy Beaver numbers (as there simply aren't enough possible different n-state Turing machines to cover all numbers up to to the insane heights BB(n) reaches towards) , but I would expect them to have some interesting properties (though I have no sense of what those properties might be). Anyone here know of existing literature on this concept?

Thanks for the context, I really appreciate it! :)

Any AI people here read this paper? https://arxiv.org/abs/2406.02528 I’m no expert, but if I’m understanding this correctly, this would be really big if true, right?

if I ask an AI assistant to respond as if it's Abraham Lincoln, then human concepts like kindness are not good predictors for how the AI assistant will respond, because it's not actually Abraham Lincoln, it's more like a Shoggoth pretending to be Abraham Lincoln.

Somewhat disagree here—while we can’t use kindness to predict the internal “thought process” of the AI, [if we assume it’s not actively disobedient] the instructions mean that it will use an internal lossy model of what humans mean by kindness, and incorporate that into its act. Similar to how a talented human actor can realistically play a serial killer without having a “true” understanding of the urge to serially-kill people irl.

Anyone here have any experience with/done research on neurofeedback? I'm curious what people's thoughts are on it.

Anyone here happen to have a round plane ticket from Virginia to Berkeley, CA lying around? I managed to get reduced price tickets to LessOnline, but I can't reasonably afford to fly there, given my current financial situation. This is a (really) long-shot, but thought it might be worth asking lol.

Personally I think this would be pretty cool!

This seems really cool! Filled out an application, though I realized after sending I should probably have included on there that I would need some financial support to be able to attend (both for the ticket itself and for the transportation required to get there). How much of a problem is that likely to be?