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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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Pollard, Stephen. (Editor)
Format: Electronic
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
Series:The Western Ontario Series in Philosophy of Science, 83
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Table of Contents:
  • Translator's Introduction
  • 1: Fundamental Questions of Geometry
  • 2: The Decidability Requirement
  • 3: The Origin of the Concept of Number
  • 4: Implicit Definition and the Proper Grounding of Mathematics
  • 5: Rigid Bodies in Geometry
  • 6: Prelude to Geometry: the Essential Ideas
  • 7: Physical and Mathematical Geometry
  • 8: Natural Geometry
  • 9: The Concept of the Differentail
  • 10: Reflections on the Proper Grounding of Mathematics I
  • 11: Concepts and Proofs in Mathematics
  • 12 Dimension and Space in Mathematics
  • 13: Reflections on the proper Grounding of Mathematics II
  • 14: The Axiomatic Method in Modern Mathematics
  • Index.