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Natural Geometry

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Essays on the Foundations of Mathematics by Moritz Pasch

Part of the book series: The Western Ontario Series in Philosophy of Science ((WONS,volume 83))

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Abstract

English translation of Moritz Pasch,“Die natürliche Geometrie,” Mathematische Zeitschrift 21 (1924), pp. 151–153. The Danish mathematician Johannes Hjelmslev insisted that Pasch’ s axioms for projective geometry are incompatible with Pasch’ s empiricism. In this paper, Pasch offers a brief response.

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Notes

  1. 1.

    *[Reference [10] (monograph) included the papers translated above as “Rigid bodies in geometry” and “Prelude to geometry: The essential ideas.”]

References

*[Reference [10] (monograph) included the papers translated above as “Rigid bodies in geometry” and “Prelude to geometry: The essential ideas.”]

  1. Hjelmslev, Johannes. 1915. The geometry of reality. Acta Mathematica 40:35–66.

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Author information

Authors and Affiliations

  1. Dept. Philosophy & Religion, Truman State University, 63501, Kirksville, Missouri, USA

    Prof. Stephen Pollard

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  1. Prof. Stephen Pollard
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Correspondence to Stephen Pollard .

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Editors and Affiliations

  1. Dept. Philosophy & Religion, Truman State University, Kirksville, 63501, USA

    Stephen Pollard

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Pollard, S. (2010). Natural Geometry. In: Pollard, S. (eds) Essays on the Foundations of Mathematics by Moritz Pasch. The Western Ontario Series in Philosophy of Science, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9416-2_9

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