Talk:Generic filter

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This article is within the scope of WikiProject Mathematics.
Mathematics grading:	Stub Class	Mid Importance	Field: Foundations, logic, and set theory

In axiomatic set theory, a discipline within mathematics, a filter F in a poset is called D-generic if

for all E ∈ D

This seems to assume D is some family of subsets of the poset. But it does not say so! Is it just any family? Or some special kind of family? Michael Hardy 00:27, 9 February 2006 (UTC)

I've fleshed out the article quite a bit to address these points. Much more remains to be said.... --Trovatore 02:43, 9 February 2006 (UTC)