Mathematical Logic (Record no. 112991)
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000 -LEADER | |
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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 |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
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 ## - | |
-- | ZDB-2-SCS |
No items available.