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A misalignment of AI in mathematics

mathandai.org

81–90 of 653 posts

Re: A misalignment of AI in mathematics

#81
post #59

Looks like mathematicians (like people in many other professions) have to redefine what their work means and how to define success. Hard to agree that a tool that can find a proof is detrimental by itself, rather it voids some assumptions people relied on previously

I am on this track too. If AI leads to advancements, objectively that's a positive (depending on the advancement I guess) but it's only when mathematicians realise they'll get beaten to every thing now that they're outraged.

Re: A misalignment of AI in mathematics

#82
post #70

"how to make sure that, as AI changes the way work is done, we do not lose sight of what that work was meant to achieve in the first place." That sounds like an "us problem", not an AI or OpenAI/Anthropic problem.

Are you implying that OpenAI using someones unpublished research without their permission to solve an career defining math problem with their latest model in order to publish first is a problem with the mathematicians? My read on this document is that people's work isn't being fairly cited more than what does it mean to be a mathematician in this age.

This is the real issue, though this article does not really hit on it explicitly just alludes to it.

Re: A misalignment of AI in mathematics

#83
post #37

The concerns seem valid. I'm unclear what the ask is, though. What, even in theory, is a practical and realistic fix?

Well, they could ask frontier labs to stop publishing math results. I find it telling that they stop short of explicitly doing this.

Re: A misalignment of AI in mathematics

#85
This is an entirely predictable reaction to livelihoods being threatened along with potential loss of status (very important), just expressed in elevated academic language.

Expect to see this reaction in all sectors of the economy in the coming years.

Re: A misalignment of AI in mathematics

#86
This is really well written and exposes a core tension between science and something akin to engineering. The "engineering" of proofs has become "easy" (a compute and $) problem, rather than hard (a time and conception problem).

Without the ability to do things the "hard" way it is difficult to figure out if doing things the "easy" way will help us advance the frontier of math and science.

I may be wrong but historically we had this version of science discovery for a long while (empirical observation and brute force application) rather than first principles leading to applications (tools, the wheel, mills etc). Then somewhere along the way it flipped after Newton and the enlightenment period and started understanding first principles before they become engineering applications.

Perhaps it is not required, and we can just keep doing things the "easy" way like we used to, or we might find ourselves out of the ability to brute force things and then we go back to needing to do this the hard way, at which point this period of AI brute forcing would be seen as a detriment.

Re: A misalignment of AI in mathematics

#87
post #70

Earlier quoted context omitted.

Are you implying that OpenAI using someones unpublished research without their permission to solve an career defining math problem with their latest model in order to publish first is a problem with the mathematicians? My read on this document is that people's work isn't being fairly cited more than what does it mean to be a mathematician in this age.

This is the real issue, though this article does not really hit on it explicitly just alludes to it.

Yes I think they should be more direct. Not sure why they weren't

Re: A misalignment of AI in mathematics

#88
post #55

On the contrary to what Tao believe, it seems like we need AI to move the needle on mathematics. > problems in many fields of mathematics Developing these different fields moves complexity from the field itself to the interactions of these fields. Getting too preoccupied with the established terminology risks us a local minima. Anf because the field overall has become so complex that we need to decompose into subfiel…

Are you a working mathematician?

would the answer to that question alter the validity of the statement?

Re: A misalignment of AI in mathematics

#89
If you internalise that AI might actually reach super intelligence then logically the question becomes "so what exactly are humans for if literally everything can be done better by machines?". Then mathematics and all intellectual work, as argued for here, becomes quite clearly a recreational pursuit.

Re: A misalignment of AI in mathematics

#90
post #13

Earlier quoted context omitted.

What benefit is there if the machine has unlocked understanding but no human has? What incentives are there for humans to learn and gain such understanding from machines?

The same incentive there always was: Because you wanna know. What incentive were you thinking of?

The usual incentives in academia: publishing papers. Consider the difference between publishing a paper that introduces a novel method to do X, versus publishing a paper that merely interprets Claude’s method to do X. The latter might not even be publishable.
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