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unstableontology.com
| | www.lesswrong.com
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| | A community blog devoted to refining the art of rationality
| | xorshammer.com
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| | Let $latex \mathrm{PA}$ be Peano Arithmetic. Gödel's Second Incompleteness Theorem says that no consistent theory $latex T$ extending $latex \mathrm{PA}$ can prove its own consistency. (I'll write $latex \mathrm{Con}(T)$ for the statement asserting $latex T$'s consistency; more on this later.) In particular, $latex \mathrm{PA} + \mathrm{Con}(\mathrm{PA})$ is stronger than $latex \mathrm{PA}$. But certainly, given that...
| | www.cs.uic.edu
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| | jkmsmkj.fyi
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| 4gravitons has proposed a challenge: To explain scientific papers appearing on arXiv on a given day in a given (sub)field to a general audience. The challenge is directed towards fellow science communicators so that definitely excludes me. But one of my old year thoughts (turned to a new year resolution) for this blog was to...