ENGLISH

The Unprovability of Consistency: An Essay in Modal Logic

Book information

Publisher
Cambridge University Press
Year
1979
ISBN
0 521 21879 9
Language
english
Format
PDF
Filesize
6 MB (6026763 bytes)
Pages
\96
Topic
Mathematics Logic
Time added
2024-06-10 07:53:01

Description

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.

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