EntityQ1457052· pop 22· linked from 41 articleswell-ordering theoremSign in to saveset-theoretic theorem or principle, equivalent to the axiom of choiceConnectionsordinal numberEntitytransfinite inductionEntitymathematicsEntityInternational Standard Book NumberEntityreal numberEntitysetEntityGeorg CantorEntitydigital object identifierEntityaxiom of choiceEntityFelix HausdorffEntityErnst ZermeloEntityfirst-order logicEntityZorn's lemmaEntityZermelo–Fraenkel set theoryEntitytotal orderEntitywell-orderEntitygreatest and least elementsEntityGyula KőnigEntitysecond-order logicEntitywell-ordering principleEntityCategoriesAxiom of choiceAxioms of set theoryTheorems in the foundations of mathematics