Assertion Supported AI assessment confidence: 95% certainty 5/5 debate potential 1/5

Selke: OpenAI's Astra proved that a non-sofic group exists

Mark Selke · Inside OpenAI’s Breakthroughs in Mathematical Reasoning · Sep 8, 2026 · at 47:03

Mark Selke, a researcher at OpenAI, explains mathematical breakthroughs achieved by OpenAI's reasoning model Astra on open problems in group theory.

0:00 / 0:09exact quote · 9.1s
▶ Watch the full episode on YouTube → 720p mp4 · rendered on demand · StarZero watermark
“So, so the result that Astra proved is simply that there exists a non-sulfic group.”

quote is from the automated transcript, cleaned for reading: filler sounds and stutters are removed, nothing is rephrased. names can be misheard (the analysis reads context, assessments check outside sources). how →

More from Mark Selke

Opinion
Selke: Proving mathematical results is becoming much less of a bottleneck
“Proving the result was, like, so hard that kind of the other stuff was just kind of coming along for the ride, right? You know, like, if you manage to, like, prove this thing yourself, you're automatically gonna understand it quite well. You're kind of respons…”
Mark Selke Sep 8, 2026 ▶ 1:00:42 Inside OpenAI’s Breakthroughs in Mathematical Reasoning
Prediction Not checkable as stated
Selke: AI might plausibly never solve problems like P versus NP
“Even if AI get, you know, continues getting, like, exponentially better at math, like, it might, you know, plausible will never solve something like P versus NP.”
Mark Selke Sep 8, 2026 ▶ 1:02:50 Inside OpenAI’s Breakthroughs in Mathematical Reasoning
Assertion Supported
Selke: OpenAI models discovered better bounds for spherical and binary codes
“Our models found better bounds for these cases as well.”
Mark Selke Sep 8, 2026 ▶ 33:52 Inside OpenAI’s Breakthroughs in Mathematical Reasoning
Disclosure
Selke: Coding theory was Astra's only proof requiring human interaction
“This was the one case where there was some interactivity involved. So for all of, so except for this pair, it was just, you know, we had some problems, we fed them in, and we you know, the model came back with some solutions.”
Mark Selke Sep 8, 2026 ▶ 35:17 Inside OpenAI’s Breakthroughs in Mathematical Reasoning
Insight
Selke: AI models consistently nail detailed mathematical execution where humans get lost
“Another relative strength that's pretty noticeable is just, like, it's very good at executing on some, like, idea once it has it. Like, you know, whenever you have an idea, there's, like, There's usually some amount of, you know, getting everything lined up, l…”
Mark Selke Sep 8, 2026 ▶ 5:20 Inside OpenAI’s Breakthroughs in Mathematical Reasoning
Insight
Selke: AI avoids human cognitive bias by easily resetting polluted context
“Like, as a human, if you have some, like, wrong path you go down for a while, it can be hard to, like, rewire your brain to, like, start over and, like, try a different path. Like, you're kind of, the initial idea is kind of linked in your brain with these oth…”
Mark Selke Sep 8, 2026 ▶ 9:10 Inside OpenAI’s Breakthroughs in Mathematical Reasoning
Made with StarZero

Turn any episode into a week of clips.

This entire site, over 1,000 episodes transcribed, diarized, checked and made playable, runs on the StarZero media pipeline. Drop in your own episode and the podcast clipper finds the moments worth sharing, cuts them, captions them, and reframes them for every feed.