While the Berry paradox isn't strictly speaking mathematically sensible, there are similar ideas that lead to new and less well-known impossibility results. ht

While the Berry paradox isn't strictly speaking mathematically sensible, there are similar ideas that lead to new and less well-known impossibility results. https://arxiv.org/pdf/chao-dyn/9406002.pdf https://arxiv.org/pdf/chao-dyn/9406002.pdf has a transcript of an overview of the idea and main results by the researcher who came up with them, as well as a fairly extensive bibliography. There's also a version of Russell's paradox lurking in the standard proof of Cantor's theorem (https://en.wikipedia.org/wiki/Cantor%27s_theorem https://en.wikipedia.org/wiki/Cantor%27s_theorem).