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Lecture Notes in Mathematics Ser.: Proof Theory : An Introduction by Wolfram Pohlers (1989, Trade Paperback)

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About this product

Product Identifiers

PublisherSpringer Berlin / Heidelberg

ISBN-103540518428

ISBN-139783540518426

eBay Product ID (ePID)120069043

Product Key Features

Number of PagesVIII, 220 Pages

LanguageEnglish

Publication NameProof Theory : an Introduction

SubjectNumber Theory, Logic

Publication Year1989

TypeTextbook

Subject AreaMathematics

AuthorWolfram Pohlers

SeriesLecture Notes in Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Weight12.5 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

Series Volume Number1407

Number of Volumes1 vol.

IllustratedYes

Table Of ContentOrdinal Analysis of Pure Number Theory.- The autonomous ordinal of the infinitary system Z? and the limits of predicativity.- Ordinal analysis of the formal theory for noniterated inductive definitions.

SynopsisAlthough this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The "constructive" consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the "cabal language" of proof theory, but only a language familiar to most readers.

LC Classification NumberQA8.9-10.3