AXIOM OF COMPREHENSION
\ˈaksɪəm ɒv kˌɒmpɹɪhˈɛnʃən], \ˈaksɪəm ɒv kˌɒmpɹɪhˈɛnʃən], \ˈa_k_s_ɪ__ə_m ɒ_v k_ˌɒ_m_p_ɹ_ɪ_h_ˈɛ_n_ʃ_ə_n]\
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An axiom schema of set theory which states:if P(x) is a property thenx : Pis a set. I.e. all the things with some property form a set.Acceptance of this axiom leads to Russell's Paradox which iswhy Zermelo set theory replaces it with a restricted form.
By Denis Howe
Word of the day
Snake's-head
- Guinea-hen flower; -- so called in England because its spotted petals resemble the scales of a snake's head.