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The Hausdorff maximality theorem, defined by Felix Hausdorff in 1914 is an alternate formulation of Zorn's Lemma. It states that #given a set A with a partial order named <, and two elements a and b #given that a < b are incommensurable ie: #*given that a < b is untrue #*given that b < a is untrue then A must have a subset named D with two elements d and e such that e < d or d < e. |
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