Back Zermelo-Mengenlehre German Zermelo aksiomaatika Estonian Théorie des ensembles de Zermelo French Teoria degli insiemi di Zermelo Italian ツェルメロ集合論 Japanese Zermelo-verzamelingenleer Dutch Teorìa dj'ansem ëd Zermelo PMS Teoria de conjuntos de Zermelo Portuguese Теорія множин Цермело Ukrainian 策梅洛集合论 Chinese
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Zermelo set theory (sometimes denoted by Z-), as set out in a seminal paper in 1908 by Ernst Zermelo, is the ancestor of modern Zermelo–Fraenkel set theory (ZF) and its extensions, such as von Neumann–Bernays–Gödel set theory (NBG). It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article sets out the original axioms, with the original text (translated into English) and original numbering.