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If we're going to continue to talk so much about CH in this article, I do think it's reasonable to mention continuing research efforts. It seems to me that it ought to make sense to cite specific research directions and cite those, rather than needing to find a secondary source for the "meta"
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So here's the thing: independence from ZFC does not close an issue in set theory. All sorts of set-theoretic research is into questions known to be independent of ZFC, and indeed specifically into the continuum hypothesis. It would be easy to supply citations for
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Research does continue, and citations can be found. The real question is whether it makes sense to talk about it here (or indeed whether this article should talk so much about the cardinality of the continuum, when the article is about cardinality in
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of such research. Finding a reliable secondary source for the specific statement that research continues into the continuum hypothesis would be harder, as this is at a more "meta" level, but I expect it can be done.
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restore ((cn)) after sentence that hasn't changed since it was added: I doubt that Cohen.1963 (independence of GCH) leaves much room for research, but I'm not an expert
500:'s talk page, I happened upon a discussion that took place last November or so, where previous text had mentioned ongoing research into CH, which had been labeled with
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On the other hand, I'm not sure that the general article on cardinality needs to deep-dive into this at all. --
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But then again, CH is sort of the first question that came up that wasn't immediately resolvable, so it
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Burghardt#Continuing research on cardinality?
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