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Zorn’s Lemma

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Naive Set Theory

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

An existence theorem asserts the existence of an object belonging to a certain set and possessing certain properties. Many existence theorems can be formulated (or, if need be, reformulated) so that the underlying set is a partially ordered set and the crucial property is maximality. Our next purpose is to state and prove the most important theorem of this kind.

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© 1974 Springer Science+Business Media New York

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Halmos, P.R. (1974). Zorn’s Lemma. In: Naive Set Theory. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1645-0_16

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  • DOI: https://doi.org/10.1007/978-1-4757-1645-0_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90104-6

  • Online ISBN: 978-1-4757-1645-0

  • eBook Packages: Springer Book Archive

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