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Zorn's Lemma- An elementary proof under the Axiom of Choice

2012/07/28 by Arjun Jain, Jain, Arjun
Computer Science · Psychology · #Advanced Algebra and Logic #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Philosophy and Theoretical Science

paper · pdf · doi:10.48550/arxiv.1207.6698

openalex publication_date 2012/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article presents an elementary proof of Zorn's Lemma under the Axiom of Choice, simplifying and supplying necessary details in the original proof by Paul R. Halmos in his book, Naive Set Theory. Also provided, is a preamble to Zorn's Lemma, introducing the reader to a brief history of this important maximal principle.

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