Essays on the Foundations of Mathematics by Moritz Pasch

Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues tha...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Pollard, Stephen (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields, 83
Temas:
Mathematics.
History.
Philosophy.
Science > Philosophy.
History of Mathematical Sciences.
Philosophy of Science.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Translator's Introduction
  • Fundamental Questions of Geometry
  • The Decidability Requirement
  • The Origin of the Concept of Number
  • Implicit Definition and the Proper Grounding of Mathematics
  • Rigid Bodies in Geometry
  • Prelude to Geometry: The Essential Ideas
  • Physical and Mathematical Geometry
  • Natural Geometry
  • The Concept of the Differential
  • Reflections on the Proper Grounding of Mathematics I
  • Concepts and Proofs in Mathematics
  • Dimension and Space in Mathematics
  • Reflections on the Proper Grounding of Mathematics II
  • The Axiomatic Method in Modern Mathematics.

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