Mathematical Logic (Record no. 112991)

000 -LEADER
fixed length control field 03533nam a22004575i 4500
001 - CONTROL NUMBER
control field 978-3-7643-9977-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220084552.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100715s2010 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783764399771
-- 978-3-7643-9977-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-7643-9977-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA8.9-QA10.3
072 #7 - SUBJECT CATEGORY CODE
Subject category code UYA
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT018000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code COM051010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 005.131
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Li, Wei.
Relator term author.
245 10 - TITLE STATEMENT
Title Mathematical Logic
Medium [electronic resource] :
Remainder of title Foundations for Information Science /
Statement of responsibility, etc by Wei Li.
264 #1 -
-- Basel :
-- Birkhäuser Basel,
-- 2010.
300 ## - PHYSICAL DESCRIPTION
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Progress in Computer Science and Applied Logic (PCS) ;
Volume number/sequential designation 25
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Syntax of First-Order Languages -- Models of First-Order Languages -- Formal Inference Systems -- Computability & Representability -- Gödel Theorems -- Sequences of Formal Theories -- Revision Calculus -- Version Sequences -- Inductive Inference -- Workflows for Scientific Discovery.
520 ## - SUMMARY, ETC.
Summary, etc Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer science.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Logic, Symbolic and mathematical.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer Science.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Logic and Formal Languages.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Logic and Foundations.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783764399764
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Computer Science and Applied Logic (PCS) ;
Volume number/sequential designation 25
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-7643-9977-1
912 ## -
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