A Mereological Approach to Higher-Order Structure in Complex Systems: from Macro to Micro with Möbius · HackerPapers discussionshttps://hackerpaper.kaipfister.de/p/2404.14423/Collected HN comments and submissions linking this paper.enMon, 02 Nov 2026 11:16:22 GMTA Mereological Approach to Higher-Order Structure in Complex Systems: from Macro to Micro with Möbius — mentioned by abelaerhttps://news.ycombinator.com/item?id=42970682urn:hackerpapers:mention:2404.14423:42970682Fri, 07 Feb 2025 08:48:55 GMT<p>The Möbius function actually appears quite often in statistics/probability theory. I wrote more about this in the paper (https://arxiv.org/pdf/2404.14423), but in short: if you invert moments with the powerset Möbius function then you get central moments, but if you invert moments with the partition Möbius function, then you get cumulants. In fact, you can vastly generalise this by changing the mereology from partitions to ordered partitions etc.</p><p><a href="https://hackerpaper.kaipfister.de/p/2404.14423/">Paper and discussion history</a>. A mention is not an endorsement.</p>physics.data-an