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njwildberger.com
| | blog.computationalcomplexity.org
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| | In my post about the myth that Logicians are crazy I mentioned in passing that Whitehead and Russell spend 300 pages proving 1+1=2 (but we...
| | ecodevoevo.blogspot.com
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| | What is 'philosophy' of science? Does anyone actually need it? When I was an undergraduate, I was a math major and took an unofficial philo...
| | 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...
| | adam.chlipala.net
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| [AI summary] This text provides an in-depth exploration of advanced Coq proof techniques, focusing on manual proofs, recursion, and induction principles for complex data structures. It covers topics like nested inductive types, custom induction principles, and the design philosophy behind Coq's approach to proof automation. The text includes detailed examples of proof scripts, such as manual proofs for discrimination and injectivity of constructors, and discusses the use of tactics like discriminate and injection. It also touches on the implementation of functions like pred and the role of hints in improving proof readability and automation.