1.

Record Nr.

UNINA9910817263903321

Autore

Tourlakis George J.

Titolo

Lectures in logic and set theory . Volume 1 Mathematical logic / / George Tourlakis [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2003

ISBN

1-107-12856-0

1-280-41776-5

9786610417766

1-139-14853-2

0-511-18060-8

0-511-06658-9

0-511-06027-0

0-511-30759-4

0-511-61555-8

0-511-06871-9

Descrizione fisica

1 online resource (xi, 328 pages) : digital, PDF file(s)

Collana

Cambridge studies in advanced mathematics ; ; 82

Disciplina

511.3

Soggetti

Logic, Symbolic and mathematical

Set theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and indexes.

Nota di contenuto

Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; I Basic Logic; II The Second Incompleteness Theorem; Bibliography; List of Symbols; Index

Sommario/riassunto

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the



incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.