In set theory, an amorphous set is an infinite set which is not the disjoint union of two infinite subsets. ==Existence== Amorphous sets cannot exist if the axiom of choice is assumed. However, a model of Zermelo–Fraenkel set theory (without choice) in which an amorphous set exists was given by Azriel Lévy, using an earlier model of Andrzej Mos...

Found on http://en.wikipedia.org/wiki/Amorphous_set

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