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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
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I have a problem about elementary submodels of ZFC
So suppose $\kappa$ inaccessible so that $V_\kappa$ is a model of ZFC, using Skolem and the Mostoswky collapse we have a countable elementary submodel $M$ of $V_\kappa$. This implies that for any form …