我们正处在数学领域深刻变革的临界点。“Vibe proving”（直觉式/氛围式证明）已经到来。 来自 @HarmonicMath 的 Aristotle 模型刚刚在 @leanprover 中独立证明了 Erdos（埃尔德什）第 124 号问题。 这个问题自提出以来已悬而未决近 30 年，最初发表于 Acta Arithmetica（《算术学报》）上的论文《Complete sequences of sets of integer powers》。 Boris Alexeev 使用最近升级、具备更强推理能力和自然语言接口的 Aristotle（测试版）完成了这一证明。 数学超级智能（Mathematical Superintelligence）正以每分钟的速度逼近，我相信它将彻底改变并极大加速数学以及所有依赖数学的领域的发展。 We are on the cusp of a profound change in the field of mathematics. Vibe proving is here. Aristotle from @HarmonicMath just proved Erdos Problem #124 in @leanprover, all by itself. This problem has been open for nearly 30 years since conjectured in the paper “Complete sequences of sets of integer powers” in the journal Acta Arithmetica. Boris Alexeev ran this problem using a beta version of Aristotle, recently updated to have stronger reasoning ability and a natural language interface. Mathematical superintelligence is getting closer by the minute, and I’m confident it will change and dramatically accelerate progress in mathematics and all dependent fields.
Vlad TenevCEO and Co-Founder of Robinhood
观点原文
我们正处在数学领域深刻变革的临界点。“Vibe proving”（直觉式/氛围式证明）已经到来。
来自 @HarmonicMath 的 Aristotle 模型刚刚在 @leanprover 中独立证明了 Erdos（埃尔德什）第 124 号问题。
这个问题自提出以来已悬而未决近 30 年，最初发表于 Acta Arithmetica（《算术学报》）上的论文《Complete sequences of sets of integer powers》。
Boris Alexeev 使用最近升级、具备更强推理能力和自然语言接口的 Aristotle（测试版）完成了这一证明。
数学超级智能（Mathematical Superintelligence）正以每分钟的速度逼近，我相信它将彻底改变并极大加速数学以及所有依赖数学的领域的发展。
We are on the cusp of a profound change in the field of mathematics. Vibe proving is here.
Aristotle from @HarmonicMath just proved Erdos Problem #124 in @leanprover, all by itself. This problem has been open for nearly 30 years since conjectured in the paper “Complete sequences of sets of integer powers” in the journal Acta Arithmetica.
Boris Alexeev ran this problem using a beta version of Aristotle, recently updated to have stronger reasoning ability and a natural language interface.
Mathematical superintelligence is getting closer by the minute, and I’m confident it will change and dramatically accelerate progress in mathematics and all dependent fields.
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