dnautics

If you're writing that theorem: Assuming you remember to include it in your premises.

Sometimes the invariant might not be mathematical, it might be social. I recall a story where 1/0 caused a problem because stock issuance uses a 0-share disbursement as a tombstone: to indicate that "this stock account has zeroed out this security and has no remaining ownership". You might not have remembered that and you might have forgotten to record that as a necessary invariant in your proofs. If lean had defined division to have a nonzero denominator, it would have caught the problem even if you didn't know that a zero share disbursement hada a different meaning.

Not necessarily? What if the training set contains an overwhelming amount if bad code written by neophytes? I imagine Python quality by the LLM suffers from this, for example.

What if the language has extremely confusing syntax constructs (like early php) or bad or no conventions (suppose the standard library has somecollection.put(key, value) sometimes and othercollection.put(value, key) other times), and individual code authors just pick what they want adhoc

Large training set ain't gonna save you.

In the state of the tagged video he says still not accepting AI submissions until a certain set of preconditions is met. So... No?

> It leads to improved decision making, experimental design, etc

It does not. It often does the exact opposite.

Nature is under no obligation to make explanations trivial to a human brain conditioned on quotidian macroscopic observation. Doesn't mean you have to appeal to quantum woo. We know more or less how much "quantum mechanics" (for some definition of QM, obviously an electron shell is QM, but for all intents and purposes you can just treat it as a classical ball that does a few weird things like bonding) contributes, to, say reaction rates. It's nonzero. It's nearly zero, though.

I think you are vastly underestimating the number of collisions required to get an enzyme binding event. We did a back of the envelope calculation in grad school and it was something like >> 10^6 ~ 10^9.

And you can of course do macroscopic things like this:

https://www.youtube.com/watch?v=3X6qEE2fHvE

Allowing the elderly to stay where they are isn't just about protecting vulnerable boomers, it's about not being a problem for responsible people in the next generation. You could also be one of those no-contact assholes and never have to deal with your parents when they get screwed by displacement, land value tax away.

I'm convinced this agency argument is correct [for the next N months]. But yeah, it's vibes. And you could probably create a reasonable proxy measure for this.

So I wouldn't call his argument unconvincing, I would call it unformalized. In order to walk this world you're gonna have to contend with some informal arguments that are powerful, correct, and should be convincing.

AIUI the biggest obstacle is likely the fact that bacteria want to operate in a high current, low voltage regime and everything we do with bulk power wants to operate in a low current high voltage regime.

https://github.com/ityonemo/bpa

For my projects that I use day to day in prod there is considerably more hand-holding and code review.