Mathematics Tripos Papers

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  • Part IB
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4.II.16G

Logic and Set Theory | Part II, 2008

Prove Hartog's Lemma that for any set xxx there is an ordinal α\alphaα which cannot be mapped injectively into xxx.

Now assume the Axiom of Choice. Prove Zorn's Lemma and the Well-ordering Principle.

[If you appeal to a fixed point theorem then you should state it clearly.]

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