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Why Erdős Problems Are Falling to AI
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OpenAI's internal AI model discovered a counterexample to the "unit distance" problem, a conjecture proposed by Paul Erdős in 1946. This marks a significant achievement in the application of AI to solve longstanding mathematical questions.
Summary from quantamagazine.org.
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Why Erdős Problems Are Falling to AI
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- Praise: The AI's ability to tackle long-standing math problems shows a groundbreaking shift in intellectual capabilities, hinting at future advancements in various scientific fields.
- Praise: Commenters are buzzing about the potential for AI to generate new mathematical conjectures, which could redefine how we approach proofs and discoveries.
- Concern: There's a palpable skepticism about whether AI breakthroughs actually lead to meaningful utility, with some arguing that if no one understands the results, do they matter at all?
- Concern: Concerns are raised that relying on AI for complex math might lead us to relinquish our intellectual faculties to a supercomputer, which could be dangerous.