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In set theory, an amorphous set is an infinite set which is not the disjoint union of two infinite subsets. Amorphous sets are Dedekind-finite. There are no such sets, if the axiom of choice is assumed. A model of ZF in which an amorphous set exists was given by Azriel Levy, using an earlier model of Mostowski. References A. Levy: The independence of various definition of finiteness, Fund. Math., 46(1958), 1–13. This set theory-related article is a stub. You can help Wikipedia by expanding it.v · d · e