AI 中文总结
本文提出使用AI的数学家应构建由自身控制、可修订的研究档案,记录AI从合作中获得的经验及来源,而非替代数学判断,并邀请他人开发此类档案并分享发现。
AI 中文摘要
我提出,在研究中使用人工智能的数学家应维护一份研究档案:记录系统从与他们共事的过程中所学到的内容、这些经验的来源,以及它们是否仍然有用。我描述了这样一份档案如何在我自己的数学研究中形成,通过修正、失败的方法,以及反复努力防止困难的想法向更简单的方向偏移。该档案并非数学家的画像,也不能替代数学判断,它由数学家控制,必须保持可修订性。我邀请其他人开发自己的档案并报告他们的发现。
英文摘要
I propose that mathematicians who use AI in research maintain a research profile: a record of what the system has learned about working with them, where those lessons came from, and whether they remain useful. I describe how such a profile grew out of my own mathematical work, through corrections, failed approaches, and repeated attempts to keep difficult ideas from drifting toward easier ones. The profile is not a portrait of the mathematician and does not replace mathematical judgment. It belongs under the mathematician's control and must remain open to revision. I invite others to develop profiles of their own and report what they learn.
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