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Workshop on Proof Theory, Modal Logic and Reflection Principles
October 20, 2017 12:15, Moscow, Steklov Mathematical Institute


The second incompleteness theorem revisited

A. Visser



Abstract: We discuss a number of examples of theories-cum-axiomatizations where the Löb Conditions fail,but where we still have the Second Incompleteness Theorem. E.g., we provide a $\Sigma_1^0$-axiomatization of Elementary Arithmetic for which the Löb Conditions fail.

Language: English


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