Autonomy of Geometry

• Autorzy: John T. Baldwin , Andreas Mueller

Warianty tytułu

PL

The Autonomy of Geometry

• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
• Rocznik: 2019
• Tom: 11
• Strony: 5-24

Daty

wydano

2020-02-05

Twórcy

autor

John T. Baldwin

autor

Andreas Mueller

Identyfikatory

DOI

10.24917/20809751.11.1