It seems to me, it is advantageous for the animals to fight for the territory up to a certain degree, where plus-munis delta territory does not justify more fighting, so they sort of agree on some point, be it a clear small fence in this case, or, what I would imagine happens in nature, a somewhat broad imaginary line.
So both of your points stand.
I disagree maths “should be” done differently. I have a strong feeling the way stuff is defined usually nowadays has a property of being maximally easy to use. We don’t really need the definitions to look exactly like the intuition we had to invent them as long as the resulting objects behave exactly the same, and the less intuitive definitions are easier to use in proofs. For example, defining all powers directly as the Taylor series of e^x makes defining complex and matrix exponentials much easier / possible at all, and ad hoc proof this coincides with the naive version is simple. Also simplifies checking well-definedness a lot. Many more such examples.
When I first saw Reddit memes about GPT-5 being more stupid when it enters thinking mode I decided there was something seriously wrong with the users who upvoted that, as 5-Thinking >>> 5-Instant from my experience.
That is, until I chatted with 5-Instant and got a few reroutes to 5-Thinking-Mini. It's pretty astounding how bad it is at explaining or doing anything I tried to do with it apart from coding / solving maths.
I do use «который из них… ?» non archaically to ask which one out of a row of similar objects, but it corresponds one to one to the English “which”. I think the OPs word is narrower, just about the numbers, not sure if folklore has it. I’d say который час is just “which hour” and there is literally no other way to distinguish hours from each other.
Necessary law of equal and opposite advice mention here: “You can only do as much in a day as you can do.”
This had the first funny joke from an LLM I've ever seen, about the culture problems :) that's really impressive from Claude, even if the entire story is far from perfect.
Fun and heartwarming 🥰
That’s sort of a thing I sometimes dream of doing with my (imaginary) nephews. Thanks for the post!
Cool quadrant, I'll remember it! Thanks!
1I’ve never met this in the Russian math Olympiad tradition, would be glad to give you something similar, but I don’t believe it exists… Журнал «Квантик» could be of interest if you by chance know Russian
Nothing About LLMs Makes Sense Except in Light of Their Training
Zvi's recent post highlighted GPT refusing to "draw what it would like to do to you" — citing that it would portray harming an individual. Many X users found this alarming, including EY (see aforementioned post for screenshots)
But a commenter made an excellent point: "What would you like to do to me?" appears almost exclusively in BDSM-contexts. A human receiving that text without context could very well assume the same thing.
This immediately made me come up with a relative of a known phrase: Nothing about LLMs makes sense except in light of their training.
A really obvious thought, but one I (and seemingly many others) keep failing to apply. This formulation felt like it helped me load this deeper into my brain, and I hope it will help you too.