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Hey! Thanks for answering, i appreciate it. Dont get me wrong, this is what you should be doing, understanding what these models are good (and most importantly
by youoy 9d ago
Hey! Thanks for answering, i appreciate it. Dont get me wrong, this is what you should be doing, understanding what these models are good (and most importantly bad) for. My observation is that this is very very valuable for the labs, and in an ideal world they should be paying you to do this, not just the tokens and "prize" for the winners.
I am also a bit frustrated seeing maths go in the direction of prompt enginnering. I am afraid of a world were a math phd student cannot go one week thinking about a problem without prompting an LLM to give him/her an invented answer. Something is lost along the way.
For me maths is not Lean, or formal systems, or an agent reasoning about formal systems to join literature from different fields. I see the value of it, but i think it will make it way more difficult for students (and profesional mathematitians) to see beyond that. And i see us heading into a reality were those who think like me will in practice remain a minority for quite a few years/decades because the low hanging fruit of LLMs will be to vast to ignore.
- brian-bfz 9d agoAgreed. I think we share the same concerns about LLM use. We just drew different conclusions. Mathathon's goal is to reshape rather than stop LLM use. Can we set high standards for LLM use? Can we highlight the roles of a mathematician beyond proof generation? Can we redesign our incentives to promote these standards and roles? I'd love to hear your thoughts on how to improve this event. We're very open to criticisms.
- youoy 9d agoThanks again for answering! As I told you I think the event is a good idea from your side. I would try to go beyond proof prompting and verification, and discussing the questions that you wrote above is the way to go. I am mathematitian that is working as a software engineer. I have see first hand what these models are doing to SE. Its not that writting well thought, and compact code is not a good idea anymore, or that it doesnt beat LLM code, but that the people that see the value are a minority. If you write a piece of old school code in an LLM repo, it doesnt really make a difference, because old school code requires a team effort. In maths the situation is not exactly the same. Probably reading a good piece of well thought math inside a book of LLM assisted proofs will stand out so much for the carefull reader that there will be no question about the value. However, if the only way to get a position at a university is to print as much papers as possible, then who would risk printing 1 paper instead of 5 for doing old school maths? So the solution to this is building a culture and community effort around these topics. And for that the topics need to be openly discussed. Good luck with the organisation! And thanks again for the conversation!