Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
A Course in Mathematical Logic
.
Bookmark this Record
Catalogue Record 48670
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 48670
.
Reviews
Catalogue Record 48670
.
British Library
Resolver for RSN-48670
Google Scholar
Resolver for RSN-48670
WorldCat
Resolver for RSN-48670
Catalogo Nazionale SBN
Resolver for RSN-48670
GoogleBooks
Resolver for RSN-48670
ICTP Library
Resolver for RSN-48670
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
511.3
Title
A Course in Mathematical Logic ([EBook]) / by Yu. I. Manin.
Author
Manin, Yuri Ivanovich
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 1977.
Physical Details
XIII, 288 pages : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 53
ISBN
9781475743852
Summary Note
1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax.:
Contents note
I Provability -- I Introduction to formal languages -- II Truth and deducibility -- III The continuum problem and forcing -- IV The continuum problem and constructible sets -- II Computability -- V Recursive functions and Church’s thesis -- VI Diophantine sets and algorithmic undecidability -- III Provability and Computability -- VII Gödel’s incompleteness theorem -- VIII Recursive groups.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-4385-2
Links to Related Works
Subject References:
Mathematical logic
.
Mathematical Logic and Foundations
.
Mathematics
.
Authors:
Manin, Yuri Ivanovich
.
Manin, Yuri Ivanovich
.
See Also:
Manin, Jurij I.
.
Manin, Jurij I., 1937-
.
Manin, Jurij I.
.
Manin, Jurij I., 1937-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Graduate texts in mathematics
.
GTM
.
Classification:
511.3
.
.
ISBD Display
Catalogue Record 48670
.
Tag Display
Catalogue Record 48670
.
Related Works
Catalogue Record 48670
.
Marc XML
Catalogue Record 48670
.
Add Title to Basket
Catalogue Record 48670
.
Catalogue Information 48670
Beginning of record
.
Catalogue Information 48670
Top of page
.
Download Title
Catalogue Record 48670
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
48670
1
48670
-
2
48670
-
3
48670
-
4
48670
-
5
48670
-
Quick Search
Search for