Written or assisted? I haven’t seen AI spit out anything near this quality
Terence Coelho
Karma: 460
Were you (or others here) not introduced to multiplication as repeated addition and exponentiation as repeated multiplication? How was it introduced to you? I don’t remember if I was taught this in school, but I viewed the commutativity of addition/multiplication geometrically: addition through the lens of stacking “sticks” of different lengths together and multiplication as area.
When I was in middle school I was also obsessed with higher operations and begun to accelerate my own math journey intending to conduct research in that field. I was also surprised to see so little work done there. Turns out it’s just an ugly area of math (compared to others) and I stopped really thinking about. But I don’t regret the time I spent discovering “theorems” and whatever and encourage you to do the same. I’ll bet in time you’ll reverse your opinions here, but who knows.
For your last paragraph: consider looking into how one might even define tetration at fractional hyper-powers. That’s the “easiest” case but it’s already non-trivial!
If you explained the game to me, I would ask about that exploit for the sake of trying to understand why it wouldn’t work and therefore better understand the game. Hearing that this natural exploit is just there makes the game seem kind of annoying to play. If I don’t know the answer, I am punished for thinking really hard about a guess that might work (and giving it low prob) vs. not thinking.
Not sure if it fixes the issue but multiple choice seems to at least help. Contestants can put a probability on each.
Why naive determinism is suspect
I’ve long been fascinated by how Bell Tests “rule out” hidden variables but I’m never able to explain it in casual conversation because it takes me personally a long time to digest the full logic. I’ve seen Scott Aaronson’s setup (done in more detail here) but it takes some time to fully believe the upper bound on a deterministic strategies’ success, especially when it’s arguing for something potentially hard to believe.
I really like the explanation given in the “Local Hidden Variables” section of this article. I think the full setup can fit in one’s head and one can just point at the picture instead of needing to write down any math.
For me personally (and I’ve heard other math people share this sentiment) the only way to understand a new area is to largely build it up in my own way, using the literature as a guide. Then depth is improved each time it connects to something else I’ve built up an understanding of. Otherwise depth decays overtime (but is easier to rebuild if I wrote my own notes).
I also agree with the idea that deeply understanding something is not merely a consequence of being able to derive it. Sometimes derivations (especially with too much algebra or via induction/contradiction) feel incomplete. Sometimes seeing two derivations of the same thing make it all fit together.
This general phenomenon is something I’d like to understand better as well.
Okay it’s been 6 months.
From early 2019 - April 2025 I had chronic pain in my right glute medius that would (starting in 2021) every ~2 months extend into the whole back and become so bad that I couldn’t move at all at night and with great pain during the day.
I tried a lot of reasonable interventions. I did a lot to strengthen the glutes and glute medius, but the flare-ups would still come (with less fury). I started seeing a chiropractor who suggested putting lifts in my left shoe which also helped and seemed like the correct intervention since if the lift was too high I’d get pain in my left glute medius. The flare-ups would still come though and I figured it would just be part of my life.
I can’t believe this worked.
Focusmate has been an absolute game-changer for effectively using my time after work over the last two weeks. Thank you for posting this.
Gonna be in Berkeley on the 14th and Princeton on the 16th :’)
Discussions about possible economic future should account for the (imo high) possibility that everyone might have inexpensive access to sufficient intelligence to accomplish basically any task they would need intelligence for. There are some exceptions like quant trading where you have a use case for arbitrarily high intelligence, but for most businesses, the marginal gains for SOTA intelligence won’t be so high. I’d imagine that raw human intelligence just becomes less valuable (
as it has been for most of human historyI guess this is worse because many businesses would also not need employees for physical tasks. But the point is that many such non-tech businesses might be fine).Separately: Is AI safety at all feasible to tackle in the likely scenario that many people will be able to build extremely powerful but non-SOTA AI without safety mechanisms in place? Will the hope be that a strong enough gap exists between aligned AI and everyone else’s non-aligned AI?
I would be very surprised if this FVU_B actually another definition and not a bug. It’s not a fraction of the variance and those denominators can easily be zero or very near zero.
Not worth worrying about given context of imminent ASI.
This is something that confuses me as well: why do a lot of people in these circles seem care about the fertility crisis while also believing that ASI is coming very soon?
In both optimistic and pessimistic scenarios about what a post-ASI world looks like, I’m struggling to see a future where the fact that people in the 2020s had relatively few babies matters.
If this actually hasn’t been explored, this is a really cool idea! So you want to learn a function (Player 1, Player 2, position) → (probability Player 1 wins, probability of a draw)? Sounds like there are a lot of naive architectures to try and you have a ton of data since professional chess players play a lot of games.
Some random ideas:
Before doing any sort of positional analysis: What does the (ELO_1,ELO_2,engine eval) → Probability of win/draw function look like? What happens when choosing an engine near those ELO ratings vs. the strongest engines?
Observing how rapidly the eval changes when given to a weak engine might give a somwhat automatable metric on the “sharpness” of a chess position (so you don’t have to label everything yourself)
This whole thing about “I would give my life for two brothers or eight cousins” is just nonsense formed by taking a single concept way too far. Blood relation matters but it isn’t everything. People care about their adopted children and close unrelated friends.
The user could always write a comment (or a separate post) asking why they got a bunch of downvotes, and someone would probably respond. I’ve seen this done before.
Otherwise I’d have to assume that the user is open-minded enough to actually want feedback and not be hostile. They might not even value feedback from this community; there are certainly many communities where I would think very little about negative feedback.
Update: R1 found bullet point 3 after prompting it to try 16x16. It’s 2 minus the adjacency matrix of the tesseract graph
Would bet on this sort of strategy working; hard agree that ends don’t justify the means and see that kind of justification for misinformation/propaganda a lot amongst highly political people. (But above examples are pretty tame.)
I volunteer myself as a test subject; dm if interested
So I’m new here and this website is great because it doesn’t have bite-sized oversimplifying propaganda. But isn’t that common everywhere else? Those posts seem very typical for reddit and at least they’re not outright misinformation.
Also I… don’t hate these memes. They strike me as decent quality. Memes aren’t supposed to make you think deeply about things.
Edit: searched Kat Woods here and now feel worse about those posts
There have been a lot of tricks I’ve used over the years, some of which I’m still using now, but many of which require some level of discipline. One requires basically none, has a huge upside (to me), and has been trivial for me to maintain for years: a “newsfeed eradicator” extension. I’ve never had the temptation to turn it off unless it really messes with the functionality of a website.
It basically turns off the “front page” of whatever website you apply it to (e.g. reddit/twitter/youtube/facebook) so that you don’t see anything when you enter the site and have to actually search for whatever you’re interested in. And for youtube, you never see suggestions to the right of or at the end of a video.
Huh, last summer (when I used browser ChatGPT as my main model), I had the line
“For questions about how to do a simple thing in a programming language, keep responses short and to the point.”
and that worked beautifully. I don’t have the paid version of ChatGPT anymore but it should still use my system prompt and… it’s extremely verbose for basic questions now.