An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translatio...(展开全部)

An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translatio...(展开全部)

Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is hoped that this treatment will make the subject accessible to those mathematicians whose rese...(展开全部)

Editorial Reviews Zentralblatt für Mathematik ...provides a good introduction to relative consistence proofs in axiomatic set theory. It can be recommended as a graduate text on the subject. --This text refers to the Paperback edition. Book Description Paperback. Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book ...(展开全部)

Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is hoped that this treatment will make the subject accessible to those mathematicians whose rese...(展开全部)

Editorial Reviews Zentralblatt für Mathematik ...provides a good introduction to relative consistence proofs in axiomatic set theory. It can be recommended as a graduate text on the subject. --This text refers to the Paperback edition. Book Description Paperback. Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book ...(展开全部)

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proof...(展开全部)

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proof...(展开全部)

How and why are languages constantly changing? Historical linguistics seeks to find out by going beyond the history of individual languages to discover the general principles which underlie language change. But our evidence is severely limited. Most of the world's languages are still unwritten, and even in areas with long written traditions, such as Europe and the Near East, do...(展开全部)

How and why are languages constantly changing? Historical linguistics seeks to find out by going beyond the history of individual languages to discover the general principles which underlie language change. But our evidence is severely limited. Most of the world's languages are still unwritten, and even in areas with long written traditions, such as Europe and the Near East, do...(展开全部)