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4gravitons.com
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| | | | | Merging quantum mechanics and gravity is a famously hard physics problem. Explaining why merging quantum mechanics and gravity is hard is, in turn, a very hard science communication problem. The more popular descriptions tend to lead to misunderstandings, and I've posted many times over the years to chip away at those misunderstandings. Merging quantum mechanics... | |
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gowers.wordpress.com
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| | | | | This post is intended to accomplish several things at once. First and foremost, I want to explain (not just in the post) why I have been interested in Borel determinacy and in the natural proofs barrier. Roughly speaking (or should I say tl;dr?) I think that Martin's proof of Borel determinacy has features that might... | |
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mnielsen.github.io
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| | | | | [AI summary] The text explores the challenges of understanding abstract mathematical concepts and the role of representation in problem-solving. It emphasizes the importance of converting unfamiliar ideas into terms of known concepts, using examples like high-dimensional spaces and the irrationality of √2. The author argues that 'genius' is often the result of systematic practice with multiple representations rather than innate talent. The text concludes by suggesting the need for systems that support this process of representation mastery, such as interactive environments or tools that aid in cognitive elaboration. | |
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www.theserverside.com
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| | | Vibe coding, or using AI agents to create application code, is a surging trend. Watch how vibe coding works with two popular tools, Replit and GitHub Copilot. | ||