Let A be a partition of a set, and B a refinement of A. Fill in the blanks: A is a __________ of B. I know that A is coarser than B, but how does one turn that into a noun?
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$\begingroup$ Good question. It's possible that they want quotient, though that's a slightly sloppy usage. $\endgroup$– Brian M. ScottMar 27, 2015 at 12:56
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$\begingroup$ Approximation may be viable in some contexts. Not this one, I'm afraid. $\endgroup$– AlexRMar 27, 2015 at 12:56
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$\begingroup$ coarsification? $\endgroup$– JMPMar 27, 2015 at 13:00
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$\begingroup$ but how does one turn that into a noun? - drop the first 't' to get 'hat' $\endgroup$– JMPMar 27, 2015 at 13:02
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3$\begingroup$ Just found this. "Coarsening" does exist on the literature. $\endgroup$– user3697176Mar 27, 2015 at 13:11
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1 Answer
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The term I would use is "coarsening," as mentioned in the comments. This shows up, for example, in discussions of common knowledge and Aumann's agreement theorem.
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$\begingroup$ +1 for the Aumann reference. This is an old question... $\endgroup$ Nov 7, 2017 at 2:18