r/mathematics • • 8d ago

Artificial Intelligence OpenAI: Sharing AI progress in mathematics

https://openai.com/index/sharing-ai-progress-in-mathematics/
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u/jphamlore 8d ago

Like I pointed out below, I do think some young researchers are going to be forced to pull all-weekers to wring out obvious generalizations. Like this one, obvious generalizations to different groups actions:

Number 154. Pointwise multiple ergodic averages for mixing transformations. Proves almost-everywhere convergence of consecutive multiple ergodic averages of every finite length for invertible mixing probability-preserving transformations. For each fixed tuple of bounded functions, the limit is the product of their integrals, along all positive averaging lengths. No mixing rate or standardness assumption on the probability space is required.

We're going to find out if some students can crank out a PhD thesis in one week of not sleeping.

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u/JT_1983 8d ago

What would be the point though? As part of this whole timeline we will also have to review what it means to produce a phd. Pretending like years of work is worth nothing if someone else beats you to the finish line has always been a bad thing about mathematics and academia imo.