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Mathematicians Have Found The Ninth Dedekind Number, After 32 Years of Searching (www.sciencealert.com)

submitted 1 year ago by [email protected] to c/[email protected]

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[–] [email protected] 18 points 1 year ago

"What is a Dedekind number?"

"it is the number of antichains of subsets of an n-element set, the number of elements in a free distributive lattice with n generators, and one more than the number of abstract simplicial complexes on a set with n elements."

"Oh, why didn't you just say so? I thought the number of antichains of subsets of an n-element set, the number of elements in a free distributive lattice with n generators, and one more than the number of abstract simplicial complexes on a set with n elements was called something different. Of course I know what the number of antichains of subsets of an n-element set, the number of elements in a free distributive lattice with n generators, and one more than the number of abstract simplicial complexes on a set with n elements is, silly me."