Autonomy of Geometry

Authors

  • John T. Baldwin
  • Andreas Mueller

DOI:

https://doi.org/10.24917/20809751.11.1

Abstract

In this paper we present three aspects of the autonomy of geometry. (1) An argument for the geometric as opposed to the ‘geometric algebraic’ interpretation of Euclid’s Books I and II; (2) Hilbert’s successful project to axiomatize Euclid’s geometry in a first order geometric language, notably eliminating the dependence on the Archimedean axiom; (3) the independent conception of multiplication from a geometric as opposed to an arithmetic viewpoint.

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Published

2019-12-05

How to Cite

Baldwin, J. T., & Mueller, A. (2019). Autonomy of Geometry. Annales Universitatis Paedagogicae Cracoviensis | Studia Ad Didacticam Mathematicae Pertinentia, 11, 5–24. https://doi.org/10.24917/20809751.11.1

Issue

Vol. 11 (2019)

Section

Contents

License

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