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Visualization, Explanation and Reasoning Styles in Mathematics - Herausgegeben:Mancosu, P.; Pedersen, S.A.; Jørgensen, Klaus Frovin
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Visualization, Explanation and Reasoning Styles in Mathematics - edizione con copertina flessibile

2010, ISBN: 9789048168378

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[ED: Softcover], [PU: Springer / Springer Netherlands], In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundati… Altro …

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ISBN: 9789048168378

In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These view… Altro …

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Visualization, Explanation and Reasoning Styles in Mathematics / P. Mancosu (u. a.) / Taschenbuch / Synthese Library / Paperback / X / Englisch / 2010 / Springer Netherland / EAN 9789048168378 - Mancosu, P.
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Visualization, Explanation and Reasoning Styles in Mathematics / P. Mancosu (u. a.) / Taschenbuch / Synthese Library / Paperback / X / Englisch / 2010 / Springer Netherland / EAN 9789048168378 - edizione con copertina flessibile

2010

ISBN: 9789048168378

edizione con copertina rigida

[ED: Taschenbuch], [PU: Springer Netherland], In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisi… Altro …

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Visualization, Explanation and Reasoning Styles in Mathematics - P. Mancosu; Klaus Frovin Jørgensen; S.A. Pedersen
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P. Mancosu; Klaus Frovin Jørgensen; S.A. Pedersen:
Visualization, Explanation and Reasoning Styles in Mathematics - edizione con copertina flessibile

2010, ISBN: 9789048168378

Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer], Springer, 2010

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Visualization, Explanation and Reasoning Styles in Mathematics - P. Mancosu; Klaus Frovin Jorgensen; S.A. Pedersen
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P. Mancosu; Klaus Frovin Jorgensen; S.A. Pedersen:
Visualization, Explanation and Reasoning Styles in Mathematics - edizione con copertina flessibile

2010, ISBN: 9789048168378

Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer], Springer, 2010

Costi di spedizione:Lieferbar. (EUR 0.00)

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Dettagli del libro
Visualization, Explanation and Reasoning Styles in Mathematics

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.

Informazioni dettagliate del libro - Visualization, Explanation and Reasoning Styles in Mathematics


EAN (ISBN-13): 9789048168378
ISBN (ISBN-10): 9048168376
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2010
Editore: Springer
324 Pagine
Peso: 0,518 kg
Lingua: eng/Englisch

Libro nella banca dati dal 2011-09-07T21:00:17+02:00 (Zurich)
Pagina di dettaglio ultima modifica in 2024-03-06T02:51:51+01:00 (Zurich)
ISBN/EAN: 9789048168378

ISBN - Stili di scrittura alternativi:
90-481-6837-6, 978-90-481-6837-8
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : stig jorgensen, mancosu paolo, jörgensen, frovin, jørgensen, russell
Titolo del libro: styles, mathematics


Dati dell'editore

Autore: P. Mancosu
Titolo: Synthese Library; Visualization, Explanation and Reasoning Styles in Mathematics
Editore: Springer; Springer Netherland
300 Pagine
Anno di pubblicazione: 2010-10-28
Dordrecht; NL
Stampato / Fatto in
Lingua: Inglese
109,99 € (DE)

BC; Hardcover, Softcover / Mathematik; Mathematik; Verstehen; Algebra; calculus; geometry; mathematics; philosophy of mathematics; proof; Mathematics; Data and Information Visualization; History of Mathematical Sciences; Mathematical Logic and Foundations; Philosophy of Science; Informationsvisualisierung; Geschichte der Mathematik; Mathematik: Logik; Mathematische Grundlagen; Wissenschaftsphilosophie und -theorie; BB

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.

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