A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...

By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...

A new collaboration, publication, and conversation illuminate how a new theory of reality based on consciousness will enable scientific study of the human psychedelic experience.

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

Psychedelic drug experiences are among the most fascinating but mysterious journeys of the human mind. Long the domain of ...

A statement can be true or false. But as Kurt Gödel demonstrated, there will always be mathematical assumptions that can ...

Artificial intelligence built by OpenAI has cracked a decades-old conjecture by Paul Erdős, which mathematicians have hailed ...

Abstract: One important problem in autonomous robot navigation is the effective following of an unknown path traced in the environment in compliance with the kinematic limits of the vehicle, i.e., ...

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The hybrid of CoT and PoT not only unleashes the potential of tool use but also allows different thought processes for different math problems. As a result, the MAmmoTH series substantially outperform ...