Autonomy of Geometry

John T. Baldwin, and Andreas Mueller. "Autonomy of Geometry." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 11 (2019): 5-24. <http://eudml.org/doc/296376>.

@article{JohnT2019,
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.},
author = {John T. Baldwin, Andreas Mueller},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
language = {eng},
pages = {5-24},
title = {Autonomy of Geometry},
url = {http://eudml.org/doc/296376},
volume = {11},
year = {2019},
}

TY - JOUR
AU - John T. Baldwin
AU - Andreas Mueller
TI - Autonomy of Geometry
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2019
VL - 11
SP - 5
EP - 24
AB - 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.
LA - eng
UR - http://eudml.org/doc/296376
ER -