Visualization, Explanation and Reasoning Styles in Mathematics [electronic resource] / edited by Paolo Mancosu, Klaus Frovin Jørgensen, Stig Andur Pedersen.
Contributor(s): Mancosu, Paolo [editor.]  Jørgensen, Klaus Frovin [editor.]  Pedersen, Stig Andur [editor.]  SpringerLink (Online service).
Material type: TextSeries: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science: 327Publisher: Dordrecht : Springer Netherlands, 2005Description: X, 300 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781402033353.Subject(s): Mathematics  Visualization  Logic, Symbolic and mathematical  Science  Philosophy  Mathematics, general  Visualization  History of Mathematical Sciences  Mathematical Logic and Foundations  Philosophy of ScienceAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 510 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB931 
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.
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 conceptformation, 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.
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