Visualization, Explanation and Reasoning Styles in Mathematics (Record no. 60418)

MARC details
000 -LEADER
fixed length control field 03718nam a22005295i 4500
001 - CONTROL NUMBER
control field 978-1-4020-3335-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251006084454.0
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 100301s2005 ne | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781402033353
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 99781402033353
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/1-4020-3335-4
Source of number or code doi
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510
Edition information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Mancosu, Paolo.
Relator term editor.
245 10 - TITLE STATEMENT
Title Visualization, Explanation and Reasoning Styles in Mathematics
Medium [electronic resource] /
Statement of responsibility, etc. edited by Paolo Mancosu, Klaus Frovin Jørgensen, Stig Andur Pedersen.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Dordrecht :
Name of producer, publisher, distributor, manufacturer Springer Netherlands,
Date of production, publication, distribution, manufacture, or copyright notice 2005.
300 ## - PHYSICAL DESCRIPTION
Extent X, 300 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ;
Volume/sequential designation 327
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Mathematical Reasoning and Visualization -- Visualization in Logic and Mathematics -- From Symmetry Perception to Basic Geometry -- Naturalism, Pictures, and Platonic Intuitions -- Mathematical Activity -- Mathematical Explanation and Proof Styles -- Tertium Non Datur: On Reasoning Styles in Early Mathematics -- The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento -- Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice -- The Varieties of Mathematical Explanation -- The Aesthetics of Mathematics: A Study.
520 ## - SUMMARY, ETC.
Summary, etc. This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity? What are the different epistemic virtues (explanatoriness, understanding, visualizability, etc.) which are pursued and cherished by mathematicians in their work? The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element SCIENCE
General subdivision PHILOSOPHY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element VISUALIZATION.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS_{DOLLAR}XHISTORY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element LOGIC, SYMBOLIC AND MATHEMATICAL.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS, GENERAL.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element VISUALIZATION.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element HISTORY OF MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL LOGIC AND FOUNDATIONS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element PHILOSOPHY OF SCIENCE.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Jørgensen, Klaus Frovin.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pedersen, Stig Andur.
Relator term editor.
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
Relationship information Printed edition:
International Standard Book Number 9781402033346
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ;
Volume/sequential designation 327
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/1-4020-3335-4">http://dx.doi.org/10.1007/1-4020-3335-4</a>
Public note Ver el texto completo en las instalaciones del CICY
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Libros electrónicos
Holdings
Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total checkouts Full call number Date last seen Price effective from Koha item type
  Dewey Decimal Classification     Libro electrónico CICY CICY Libro electrónico 06.10.2025   510 06.10.2025 06.10.2025 Libros electrónicos