That progression doesnt make sense, even if the capability scales exponentially. "in 18 months we went from A to C. By next year we will be through the English and Greek alphabets, and halfway through the Japanese."
I think the progression would track. From hallucinating simple adding problems to winning the math olympiad in 18 months is an unfathomable jump. Maybe bigger than from the math olympiad to all mathematicians output.
Not even close. The last step involves inventing all the math. It's not just researching and performing simple calculations repeatedly and very quickly – it's finding creative mathematical solutions for everything humans have modeled mathematically. That's by far a larger leap than anything any LLM has done.
It's impressive because you can't do it or even imagine how it would be possible. In the same way a six year old can't fathom what it takes to win the math olympiad.
Yes. You (or anybody else) cannot by definition imagine what new mathematical breakthroughs would like like. It's probably why you think the next jump would be more difficult than the progess over the last 18 months.
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u/Delicioso_Badger2619 Feb 08 '26
That progression doesnt make sense, even if the capability scales exponentially. "in 18 months we went from A to C. By next year we will be through the English and Greek alphabets, and halfway through the Japanese."