The Unprovability of Consistency: An Essay in Modal Logic

George Boolos

ISBN 10: 0521092973 / ISBN 13: 9780521092975

Published by Cambridge University Press 2009-03-09, 2009

About this Item

Seller Inventory # 6666-IUK-9780521092975

Bibliographic Details

• Title: The Unprovability of Consistency: An Essay in Modal Logic
• Publisher: Cambridge University Press 2009-03-09
• Publication Date: 2009
• Language: English
• ISBN 10: 0521092973
• ISBN 13: 9780521092975
• Binding: Paperback
• Condition: New

About this title

Synopsis

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.

Book 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.