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Jul 19, 2011 at 20:21 comment added Goldstern A more established terminology: In "The structure of amorphous sets" (APAL 1995, MR1332569), Truss calls an amorphous set "STRICTLY AMORPHOUS" if every partition into finite classes must have almost all classes of size 1, and I think he proves (as one of the easy cases, actually) that this is the same as what I called "strongly amorphous" here.
Jul 19, 2011 at 12:44 history answered Goldstern CC BY-SA 3.0