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, und...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Mancosu, P. (Editor ), Jørgensen, Klaus Frovin (Editor ), Pedersen, S.A (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 327
Temas:
Mathematics.
Information visualization.
History.
Mathematical logic.
Science-Philosophy.
Data and Information Visualization.
History of Mathematical Sciences.
Mathematical Logic and Foundations.
Philosophy of Science.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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