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Visualization, Explanation and Reasoning Styles in Mathematics (Synthese Library) - Paolo Mancosu, Klaus Frovin Jorgensen, Stig Andur Pedersen
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Paolo Mancosu, Klaus Frovin Jorgensen, Stig Andur Pedersen:
Visualization, Explanation and Reasoning Styles in Mathematics (Synthese Library) - pocketboek

2010, ISBN: 9048168376

[SR: 9206864], Paperback, [EAN: 9789048168378], Springer Netherlands, Springer Netherlands, Book, [PU: Springer Netherlands], 2010-02-19, Springer Netherlands, 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., 922512, Philosophy of Science, 922508, History & Philosophy, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278348, Combinatorics & Graph Theory, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278362, History of Mathematics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278366, Mathematical Logic, 278363, Mathematical Foundations, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 564352, Mathematics, 570902, Algebra, 570874, Applied Mathematics, 570912, Calculus & Mathematical Analysis, 570934, Combinatorics & Graph Theory, 570936, Geometry, 570964, Mathematical Theory, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Visualization, Explanation and Reasoning Styles in Mathematics - Herausgegeben von Mancosu, P. Jrgensen, Klaus Frovin Pedersen, S. A.
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Herausgegeben von Mancosu, P. Jrgensen, Klaus Frovin Pedersen, S. A.:
Visualization, Explanation and Reasoning Styles in Mathematics - pocketboek

2010, ISBN: 9789048168378

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[ED: Softcover], [PU: Springer Netherlands], 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 views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert's program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc. Softcover reprint of hardcover 1st ed. 2005. 2010. x, 300 S. 240 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Visualization, Explanation and Reasoning Styles in Mathematics - P. Mancosu
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P. Mancosu:
Visualization, Explanation and Reasoning Styles in Mathematics - pocketboek

ISBN: 9789048168378

ID: 9789048168378

Visualization, Explanation and Reasoning Styles in Mathematics Visualization-Explanation-and-Reasoning-Styles-in-Mathematics~~P-Mancosu Science>Mathematics>Mathematics Paperback, Springer Netherlands

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Visualization, Explanation and Reasoning Styles in Mathematics (Synthese Library) - Mancosu, P. [Editor]; J?rgensen, Klaus Frovin [Editor]; Pedersen, S.A. [Editor];
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Mancosu, P. [Editor]; J?rgensen, Klaus Frovin [Editor]; Pedersen, S.A. [Editor];:
Visualization, Explanation and Reasoning Styles in Mathematics (Synthese Library) - pocketboek

2011, ISBN: 9048168376

ID: 20043881879

[EAN: 9789048168378], Neubuch, [PU: Springer], Books

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Visualization, Explanation and Reasoning Styles in Mathematics - Paolo Mancosu; Klaus Frovin Jorgensen; Stig Andur Pedersen
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Paolo Mancosu; Klaus Frovin Jorgensen; Stig Andur Pedersen:
Visualization, Explanation and Reasoning Styles in Mathematics - pocketboek

2010, ISBN: 9789048168378

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

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Bijzonderheden over het boek
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.

Gedetalleerde informatie over het boek. - Visualization, Explanation and Reasoning Styles in Mathematics


EAN (ISBN-13): 9789048168378
ISBN (ISBN-10): 9048168376
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
324 Bladzijden
Gewicht: 0,518 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 07.09.2011 21:00:17
Boek voor het laatst gevonden op 23.04.2018 16:22:23
ISBN/EAN: 9789048168378

ISBN - alternatieve schrijfwijzen:
90-481-6837-6, 978-90-481-6837-8


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