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dan

@danabra.mov
67K followers 1.3K following 16K posts

won't take my eyes off the ball again

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dan @danabra.mov · 28/09/2026
astra may be my favorite model now. it's a very weird one
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hailey @hailey.at · 27/09/2026
unironically, bluesky is the social website for ML. couldn’t do this anywhere else
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Jaz @jaz.sh · 27/09/2026
Okay so I've built a new Atlas, this time it lets you explore the conversations on Bluesky over the past 7 days graphically. It should update every ~6 hours and help you navigate the information environment that exists on here. I've learned a LOT about what people do here today... atlas.jazco.dev
atlas.jazco.dev
Atlas
A living map of what Bluesky is talking about: the past week's conversations, grouped into topics and regions and rebuilt every six hours.
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dan @danabra.mov · 25/09/2026
this seems like it should be fun
youtube.com
The World as a Hologram
YouTube video by University of California Television (UCTV)
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Jaz @jaz.sh · 24/09/2026
What if Ultimate-Guitar but on atproto? I'm playing around with a little idea, it's fun, come join! leadsheet.fm/sheet/jaz.sh...
leadsheet.fm
I Will Follow You Into the Dark chords by Death Cab for Cutie | Leadsheet
Chords for I Will Follow You Into the Dark by Death Cab for Cutie, key of Am, capo 5. By @jaz.sh, rated 5.0 from 1 rating.
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dan @danabra.mov · 24/09/2026
guys
[Verse 1]
A self-fulfilling prophecy
Of endless possibility
In rolling reams across a screen
In algebra, in algebra
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dan @danabra.mov · 23/09/2026
ok i take it back Astra is good how to work with it: 1. get it to deeply understand what needs to be built. not “plan“ but like get it to be a domain nerd 2. only THEN, give it a usable past sloppy attempt and ask for excellence 3. ask it to use Sols for coding so it stays on strategy and taste
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dan @danabra.mov · 23/09/2026
youtube.com
Minna-no-kimochi (みんなのきもち) | Boiler Room Tokyo: Tohji Presents u-ha
YouTube video by Boiler Room
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dan @danabra.mov · 22/09/2026
youtube.com
POiSON GiRL FRiEND | Boiler Room: Tokyo
YouTube video by Boiler Room
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dan @danabra.mov · 22/09/2026
"proof indigestion" www.youtube.com/watch?v=PZRb...
youtube.com
Terence Tao: SAIR’s Open Math Model Initiative
YouTube video by SAIR
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dan @danabra.mov · 22/09/2026
this is very interesting (timestamped)
youtu.be
Mathematics foundations problem settled using AI: Medvedev logic is undecidable
YouTube video by Dr. Samuel Allen Alexander
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dan @danabra.mov · 21/09/2026
re last point, can somebody from frontier labs please finally drill polya’s “how to solve it” into the models thinking trace habits? “we have to shift our position again and again“ is so obvious to how humans work but models refuse to do that because they race towards the finish line! so annoying
Four phases

edit
Pólya begins with a two-page checklist that identifies four phases to solving a mathematical problem:[4]

Understand the problem.
Make a plan.
Carry out the plan.
Look back.[5]
He emphasizes that the divisions between phases are not rigid, and it is important to be flexible in one's approach:

Trying to find the solution, we may repeatedly change our point of view, our way of looking at the problem. We have to shift our position again and again. Our conception of the problem is likely to be rather incomplete when we start the work; our outlook is different when we have made some progress; it is again different when we have almost obtained the solution.[6]
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dan @danabra.mov · 21/09/2026
wish i could refund 95% of my Astra usage. keep giving it a chance and it fumbles but it spends tokens way faster than Sol. a very disappointing release for actual implementation work
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dan @danabra.mov · 21/09/2026
youtu.be
Regina Spektor - Loveology (Oct 17, 2004)
YouTube video by slicknick1986
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dan @danabra.mov · 20/09/2026
thanks to Dr. Samuel Allen Alexander for making a video about my post! www.youtube.com/watch?v=CFkr...
youtube.com
Conway's Conjecture AI-proved, with AMAZING writeup!
YouTube video by Dr. Samuel Allen Alexander
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dan @danabra.mov · 19/09/2026
my uninformed mental model of AI proofs in mathematics is that they’re like lighthouses in the fog. the fog is still there, and clearing the fog is the primary value of the discipline. the lighthouses give a bit of an orientation but don’t clear the fog on their own.
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dan @danabra.mov · 19/09/2026
annoying bsky app regression: pressing profile icon (or profile posts tab) on web no longer invalidates it
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Grace @gracekind.net · 19/09/2026
Frog built a wet lab for the AI model. "There," he said. "Now it can do its own experiments." "What the fuck?" said Toad
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dan @danabra.mov · 19/09/2026
another fantastic essay on the current thing
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nestor guillen @birdsnfrogs.bsky.social · 18/09/2026
Last week I posted my essay on LLMs, cultural technologies, and mathematics. It is my earnest attempt at convincing mathematicians that should be optimistic, even prideful, at this critical moment: birdsnfrogs.github.io/2026/09/12/F... 1/
birdsnfrogs.github.io
Happy, those able to know the causes of things
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dan @danabra.mov · 19/09/2026
great guest post by @3blue1brown.com
terrytao.wordpress.com
If math is more than proof, we need to better celebrate the rest of it
[This is a guest post by Grant Sanderson. This blog post was initially written in a different file format and converted using AI. — T.] A sentiment echoing throughout the mathematics communit…
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dan @danabra.mov · 19/09/2026
anyone hooked up Jev to any proof related stuff? can it be useful for Lean? i haven't learned much about it yet
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dan @danabra.mov · 18/09/2026
we're on hnnnn
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dan @danabra.mov · 18/09/2026
i spent all of my free time for a month on this. it's done. so i wrote about it.
overreacted.io
How I Vibed a Proof of Conway’s Conjecture — overreacted
You can just prove things, apparently.
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P(aul) Frazee @pfrazee.com · 17/09/2026
Increasingly convinced that specs are now the source and that code is an artifact akin to a lockfile.
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dan @danabra.mov · 16/09/2026
youtube.com
The most devious Sun Vulcan plot
YouTube video by Wainshilbaum
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danielroe @danielroe.dev · 14/09/2026
🙋‍♂️ ever wanted to build something without needing to configure a db, auth, file storage or a cms? it turns out you already have all four if you have a bluesky account 👉 airspace is a typed client for it
getair.space
airspace
The database you already have.
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dan @danabra.mov · 14/09/2026
i like to think of monads as middleware for semicolons
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dan @danabra.mov · 14/09/2026
i want something like @rescript-lang.org but for @lean-lang.org. that is, a JavaScript backend emitting reasonably idiomatic JS code. i wonder whether this is structurally impossible.
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dan @danabra.mov · 14/09/2026
fractional calculus is so cool! if i understand correctly it's like when instead of a first derivative (f') or second derivative (f'') or say antiderivative (∫f dx), you can take ... half derivative
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Brendan O’Kane @bokane.org · 14/09/2026
do not be misled by the subtle veil of maya. do a breakthrough
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dan @danabra.mov · 14/09/2026
love when they switch into this persona
"The first composition law now captures the case that was troubling us:"
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dan @danabra.mov · 14/09/2026
monads are awesome. apparently i'm pretty late to this
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dan @danabra.mov · 13/09/2026
learning this over and over and over. really best way to go with frontier models
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dan @danabra.mov · 12/09/2026
proving a relatively nontrivial thing: consistently bad output, going offtrack, faking progress. i had to intervene and think with it through every step very closely for entire day finally, proof compiles. "astra, find ways to simplify it". immediately, many big reductions, proof is much simpler
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dan @danabra.mov · 11/09/2026
understated but both of these are kinda huge. ViewTransition is the first ever (!) first-class animation API in React. (it's powered by the browser API but is composable in a very Reacty way.) and Fragment refs solve "merge refs" soup. you can now have natural apis like <IntersectionObserver> etc
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dan @danabra.mov · 10/09/2026
using Astra reminds me of playing with Suzuki Escudo Pikes Peak Version in Gran Turismo 2. it was the most powerful car in the game so i would immediately run into the wall at every turn. but even with all the time i was losing this way, it was enough to be attentive to win every race
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hailey @hailey.at · 10/09/2026
i had to see it so you do too
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React @react.dev · 09/09/2026
React 19.3 is now available! This release makes View Transitions and Fragment Refs stable, and adds browser(), Trusted Types support, and Context in Server Components. react.dev/blog/2026/09...
react.dev
React 19.3 – React
The library for web and native user interfaces
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dan @danabra.mov · 09/09/2026
Black-and-white New Yorker-style cartoon of a cheerful “I ♥ BEING A USER” stick figure tumbling into a massive black hole as a serene, flower-headed Claude looks on. Caption: “The user’s enthusiasm is genuine, but they haven’t earned their keep.”
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dan @danabra.mov · 09/09/2026
you can just tell astra to use file edit tool so you can see edits, and it obliges
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dan @danabra.mov · 09/09/2026
i was on a podcast!
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dan @danabra.mov · 06/09/2026
astra is very hit and miss. can get complex stuff done right and then goes wildly offtrack
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dan @danabra.mov · 05/09/2026
less is more huh
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dan @danabra.mov · 05/09/2026
love this solo
аквариум — двигаться дальше
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dan @danabra.mov · 05/09/2026
silo just went into all time greats i think
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dan @danabra.mov · 02/09/2026
okay, it's out github.com/gaearon/conw...
github.com
GitHub - gaearon/conway-refinement: A proof of Conway's refinement conjecture in Lean
A proof of Conway's refinement conjecture in Lean. Contribute to gaearon/conway-refinement development by creating an account on GitHub.
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dan @danabra.mov · 31/08/2026
preparing to publish my vibecoded math lean proof to github and i kinda feel nervous cause what if it's all wrong
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dan @danabra.mov · 30/08/2026
found the magic prompt that fixes all my Lean. "walk the abstraction layers one by one from the foundations all the way to the top, and at every point see if the proof matches how you would explain 'why' to a human. if not, assert underlying facts at the lower level and compose or lift them"
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Matt Hodges @matthodges.bsky.social · 29/08/2026
Since everyone is suddenly interested in Lean with LLMs proving open math problems and people imagining coding agents that can formally verify their own work, this is a great programmer-friendly explanation by @danabra.mov of why Lean is so interesting. overreacted.io/beyond-boole...
overreacted.io
Beyond Booleans — overreacted
What is the type of 2 + 2 = 4?
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