The Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic.
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The Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic. Modal logic is the study of the principles that govern the concepts of necessity and possibility; proof theory is, in part, the study of those that govern provability and consistency.
1. G and other normal modal propositional logics; 2. Peano Arithmetic; 3. The box as Bew; 4. Some applications of G; 5. Semantics for G and other modal logics; 6. Canonical models; 7. The completeness and decidability of G; 8. Trees for G; 9. Calculating the truth-values of fixed points; 10. Rosser's theorem; 11. The fixed-point theorem; 12. Solovay's completeness theorems; 13. An S4-preserving proof-theoretical treatment of modality; 14. The Craig Interpolation Lemma for G.
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