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Essays on the foundations of mathematics by Moritz Pasch

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Author(s): Pollard, Stephen; Pasch, Moritz (ed.)
Series: Western Ontario series in philosophy of science 83
Publisher: Springer Science+Business Media B.V
Year: 2010

Language: English
City: Dordrecht
Tags: Mathematics -- Philosophy.;Philosophy.;Mathematik.;Philosophie

Content: 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.