Models of Peano Arithmetic

Models of Peano Arithmetic
Author :
Publisher :
Total Pages : 312
Release :
ISBN-10 : UOM:39015019436172
ISBN-13 :
Rating : 4/5 (72 Downloads)

Book Synopsis Models of Peano Arithmetic by : Richard Kaye

Download or read book Models of Peano Arithmetic written by Richard Kaye and published by . This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s, they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites for an understanding of the text have been kept to a minimum, these being a basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets. Consequently, the book is suitable for postgraduate students coming to the subject for the first time, and a number of exercises of varying degrees of difficulty will help to further the reader's understanding.


Models of Peano Arithmetic Related Books

Models of Peano Arithmetic
Language: en
Pages: 312
Authors: Richard Kaye
Categories: Mathematics
Type: BOOK - Published: 1991 - Publisher:

DOWNLOAD EBOOK

Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the f
Gödel's Theorems and Zermelo's Axioms
Language: en
Pages: 236
Authors: Lorenz Halbeisen
Categories: Mathematics
Type: BOOK - Published: 2020-10-16 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical lo
The Structure of Models of Peano Arithmetic
Language: en
Pages: 326
Authors: Roman Kossak
Categories: Mathematics
Type: BOOK - Published: 2006-06-29 - Publisher: Oxford University Press

DOWNLOAD EBOOK

Aimed at graduate students, research logicians and mathematicians, this much-awaited text covers over 40 years of work on relative classification theory for non
An Introduction to Ramsey Theory
Language: en
Pages: 224
Authors: Matthew Katz
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an inf
Nonstandard Models of Arithmetic and Set Theory
Language: en
Pages: 184
Authors: Ali Enayat
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD).