Könyv Proof Theory Wolfram Pohlers

Proof Theory

The First Stepinto Impredicativity

Szerző: Wolfram Pohlers
Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
30 012 Ft
This book verifies with compelling evidence the author s inclination to "write a book on proof theor...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2008
oldal
369
EAN
9783540693185
ISBN
3540693181
Enbook ID
01567887
Súly
590
Méretek
157 x 234 x 21

Teljes leírás

This book verifies with compelling evidence the author s inclination to "write a book on proof theory which needs no previous knowledge of proof theory". Avoiding the cryptic terminology of proof as far as possible, the book starts at an elementary level and displays the connections between infinitary proof theory and generalized recursion theory, especially the theory of inductive definitions. As a "warm up" the classical analysis of Gentzen is presented in a more modern terminology to proceed with explaining and proving the famous result by Feferman and Schütte on the limits of predicativity. The author, too, provides an introduction to ordinal arithmetic, introduces the Veblen hierarchy and employs these functions to design an ordinal notation system for the ordinals below Epsilon 0 and Gamma 0, while emphasizing the first step into impredicativity, i.e., the first step beyond Gamma 0.§§An earlier version of this book was originally published in 1989 as volume 1407 of the Springer series "Lecture Notes in Mathematics".

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