The Unprovability of Consistency: An Essay in Modal Logic
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Cambridge University Press (1979)
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. In this book, George Boolos looks at the principles of provability from the standpoint of modal logic. In doing so, he provides two perspectives on a debate in modal logic that has persisted for at least thirty years between the followers of C. I. Lewis and W. V. O. Quine. The author employs semantic methods developed by Saul Kripke in his analysis of modal logical systems. The book will be of interest to advanced undergraduate and graduate students in logic, mathematics and philosophy, as well as to specialists in those fields.
|Keywords||Modality (Logic Proof theory|
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Citations of this work BETA
David D. Auerbach (1985). Intensionality and the Gödel Theorems. Philosophical Studies 48 (3):337--51.
Albert Visser (1981). A Propositional Logic with Explicit Fixed Points. Studia Logica 40 (2):155 - 175.
Milan Božić & Kosta Došen (1984). Models for Normal Intuitionistic Modal Logics. Studia Logica 43 (3):217 - 245.
Raymond M. Smullyan (1984). Chameleonic Languages. Synthese 60 (2):201 - 224.
George Boolos (1980). On Systems of Modal Logic with Provability Interpretations. Theoria 46 (1):7-18.
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