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References to 'transfinite induction'
1. Cantor-Bendixson derivative by CWoo
2. equivalence of Zorn's lemma and the axiom of choice by Henry
3. example of transfinite induction by CWoo
4. from Hilbert's tenth problem to G\"{o}del's trichotomy by gribskoff
5. induction by Daume
6. motivation for von Neumann ordinals by yark
7. ordinal exponentiation by CWoo
8. proof of principle of transfinite induction by jihemme
9. proof of the well-founded induction principle by jihemme
10. proof that every filter is contained in an ultrafilter by rspuzio
11. properties of ordinal arithmetic by CWoo
12. properties of ranks of sets by CWoo
13. transfinite recursion by CWoo