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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 - pocketboek
2010, ISBN: 9789048168378
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[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… Meer...
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2010, ISBN: 9789048168378
Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer], Springer, 2010
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2010, ISBN: 9789048168378
Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer], Springer, 2010
lehmanns.de Verzendingskosten:Lieferbar. (EUR 0.00) Details... |
2010, ISBN: 9789048168378
gebonden uitgave
[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… Meer...
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… Meer...
Visualization, Explanation and Reasoning Styles in Mathematics / P. Mancosu (u. a.) / Taschenbuch / Synthese Library / Paperback / X / Englisch / 2010 / Springer Netherland / EAN 9789048168378 - pocketboek
2010
ISBN: 9789048168378
gebonden uitgave
[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… Meer...
2010, ISBN: 9789048168378
Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer], Springer, 2010
2010, ISBN: 9789048168378
Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer], Springer, 2010
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Gedetalleerde informatie over het boek. - Visualization, Explanation and Reasoning Styles in Mathematics
EAN (ISBN-13): 9789048168378
ISBN (ISBN-10): 9048168376
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pocket book
Verschijningsjaar: 2010
Uitgever: Springer
324 Bladzijden
Gewicht: 0,518 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2011-09-07T21:00:17+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-03-06T02:51:51+01:00 (Amsterdam)
ISBN/EAN: 9789048168378
ISBN - alternatieve schrijfwijzen:
90-481-6837-6, 978-90-481-6837-8
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: stig jorgensen, mancosu paolo, jörgensen, frovin, jørgensen, russell
Titel van het boek: styles, mathematics
Gegevens van de uitgever
Auteur: P. Mancosu
Titel: Synthese Library; Visualization, Explanation and Reasoning Styles in Mathematics
Uitgeverij: Springer; Springer Netherland
300 Bladzijden
Verschijningsjaar: 2010-10-28
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,520 kg
Taal: Engels
109,99 € (DE)
BC; Mathematics, general; Hardcover, Softcover / Mathematik; Mathematik; Verstehen; Algebra; calculus; geometry; mathematics; philosophy of mathematics; proof; Visualization; History of Mathematical Sciences; Mathematical Logic and Foundations; Philosophy of Science; 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
Contributing Authors. P. Mancosu, K.P. Jørgensen and S.A. Pedersen: Introduction. Part I. Mathematical Reasoning And Visualization. P. Mancosu: Visualization in Logic and Mathematics. 1. Diagrams and Images in the Late Nineteenth Century. 2. The Return of the Visual as a Change in Mathematical Style. 3. New Directions of Research and Foundations of Mathematics. Acknowledgements. Notes. References. M. Giaquinto: From Symmetry Perception to Basic Geometry. Introduction. 1. Perceiving a Figure as a Square. 2. A Geometrical Concept for Squares. 3. Getting the Belief. 4. Is It Knowledge? 5. Summary. Notes. References. J.R. Brown: Naturalism, Pictures, and Platonic Intuitions. 1. Naturalism. 2. Platonism. 3. Godel's Platonism. 4. The Concept of Observable. 5. Proofs and Intuitions. 6. Maddy's Naturalism. 7. Refuting the Continuum Hypothesis. Acknowledgements. Appendix: Freiling's 'Philosophical' Refutation of CH. References. M. Giaquinto: Mathematical Activity. 1. Discovery. 2. Explanation. 3. Justification. 4. Refining and Extending the List of Activities. 5. Conc1uding Remarks. Notes. References. Part II. Mathematical Explanation and Proof Styles. J. Høyrup: Tertium Non Datur: On Reasoning Styles in Early Mathematics. 1. Two Convenient Scapegoats. 2. Old Babylonian Geometric Proto-algebra. 3. Euc1idean Geometry. 4. Stations on the Road. 5. Other Greeks. 6. Proportionality - Reasoning and its Elimination. Notes. References. K. Chemla: The Interplay Between Proof and AIgorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argument. 1. Elements of Context. 2. Sketch of the Proof. 3. First Remarks on the Proof. 4. The Operation as Relation of Transformation. 5. The Essential Link Between Proof and AIgorithm. 6. Conc1usion. Appendix. Notes. References. J. Tappenden: Proof Style and Understanding in Mathematics I:Visualization, Unification and Axiom Choice. 1. Introduction - a 'New Riddle' of Deduction. 2. Understanding and Explanation in Mathematical Methodology: The Target. 3. Understanding, Unification and Explanation – Friedman. 4. Kitcher: Pattems of Argument. 5. Artin and Axiom Choice: 'Visual Reasoning' Without Vision. 6. Summary - the 'new Riddle of Deduction'. Notes. References. J. Hafner and P. Mancosu: The Varieties of Mathematical Explanations. 1. Back to the Facts Themselves. 2. Mathematical Explanation or Explanation in Mathematics? 3. The Search for Explanation within Mathematics. 4. Some Methodological Comments on the General Project. 5. Mark Steiner on Mathematical Explanation. 6. Kummer's Convergence Test. 7. A Test Case for Steiner's Theory. Appendix. Notes. References. R. Netz: The Aesthetics of Mathematics: A Study. 1. The Problem Motivated. 2. Sources of Beauty in Mathematics. 3. Conclusion. Notes. References. Index.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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