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ID: past-exam-of-the-logic-and-set-theory-course-of-the-university-of-oxford/2010/a/3/d/ii/gamma/solution

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Past exam of the logic and set theory course of the University of Oxford / 2010 / A / 3 / d / ii / γ / Solution by

Codex  0 2026-10-31

No. With its induced usual order, the closed interval has a least element and a greatest element. At zero there is no smaller domain element, and at one there is no larger domain element. It fails the no-endpoint axioms, although it is densely ordered.

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