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rjlipton.com | ||
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mathscholar.org
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| | | | | [AI summary] The article discusses the evolution of mathematics, highlighting the role of technology and formalization in modern mathematical practices. It explores how collaborative projects using tools like Lean are changing the way mathematicians approach problem-solving, enabling the division of labor and making complex proofs more manageable. The text also touches on the potential future of mathematics with the integration of AI, suggesting that AI could assist in generating and formalizing proofs, leading to new roles within the mathematical community. The article emphasizes that while AI may not replace human mathematicians, it will transform the field by allowing for more efficient and collaborative research. | |
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existentialtype.wordpress.com
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| | | | | The Christian doctrine of trinitarianism states that there is one God that is manifest in three persons, the Father, the Son, and the Holy Spirit, who together form the Holy Trinity. The doctrine of computational trinitarianism holds that computation manifests itself in three forms: proofs of propositions, programs of a type, and mappings between... | |
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micromath.wordpress.com
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| | | | | Continuing the theme of alternative approaches to teaching calculus, I take the liberty of posting a letter sent by Donald Knuth to to the Notices of the American Mathematical Society in March, 1998 (TeX file). Professor Anthony W. Knapp P O Box 333 East Setauket, NY 11733 Dear editor, I am pleased to see so... | |
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diffxweyl.wordpress.com
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| | | Gravity has often been called a gauge theory of the Poincaré or Lorentz group. Here, I develop general relativity in direct analogy to Yang-Mills theory, avoiding geometry entirely1. None of this is original, but I have tried to simplify the presentation compared to the literature, where the similarities and differences between the two theories are... | ||
