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Thomas Bloom
Jako vlastník/správce webu Erdős problems přidávám vlákno s několika komentáři k tomuto řešení k číslu #124:
1) To je pěkný důkaz, který poskytla AI z formálního prohlášení bez lidského zapojení a poté formalizoval v Lean. To je už samo o sobě působivé!
30. 11. 2025
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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