### 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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