The Hanf numbers of stationary logic. II. Comparison with other logics

by Shelah. [Sh:211]
Notre Dame J Formal Logic, 1992
We show that the ordering of the Hanf number of L_{omega, omega}(wo) (well ordering), L^c_{omega, omega} (quantification on countable sets), L_{omega, omega}(aa) (stationary logic) and second order logic, have no more restraints provable in ZFC than previously known (those independence proofs assume CON(ZFC) only). We also get results on corresponding logics for L_{lambda, mu} .

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