question: Under what approach does an axiom impede a set of all sets which do not belong to themselves ?
answer: Zermelo -- Fraenkel
turker_answer: Under the Zermelo -- Fraenkel approach an axiom impedes a set of all sets which do not belong to themselves .
rule-based: An axiom impedes a set of all sets which do not belong to themselves under Zermelo -- Fraenkel .