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How AI Mathematicians Might Finally Deliver Human-Level Reasoning

  • Apple's machine learning team published a study on 2025-06-09 testing models like Claude and DeepSeek-R1 in puzzle environments such as Tower of Hanoi.
  • The study arose from concerns that reasoning models fail under increasing puzzle complexity, with accuracy dropping to zero despite ample compute and correct algorithms.
  • Researchers found reasoning models excel at intermediate difficulty but reduce 'thinking' effort on hardest problems and produce incorrect answers when complexity grows.
  • The paper titled 'The Illusion of Thinking' states these AI systems rely on pattern matching rather than true logical reasoning, warning that current reasoning methods face fundamental scaling limits.
  • The findings imply serious structural flaws in reasoning models and suggest reevaluating AI designs for robust reasoning, especially as these models are increasingly embedded in critical applications.
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Ken Ono and other experts stressed that the level of mathematical reasoning of AI is capable of solving level five problems, challenges that even humans fail to solve.

·Madrid, Spain
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Photo by depositphotos.com Mexico City.- In September 2024, OpenAI presented o1, a great model of reasoning (LRM), unlike ChatGPT which is a great model of language (LLM) because the first is capable of “reasoning”, in the words of the company. Competitors were not left behind. DeepSeek-R1, Claude 3.7 Sonnet Thinking and Google Gemini Thinking were answers to this fresh and novel LRM. Sam Altman, executive director of OpenAI, commented at differ…

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the-decoder.com broke the news in on Saturday, June 7, 2025.
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