Aristotle's axiom in the foundations of geometry

DOI10.1007/BF01230603zbMath0655.51010WikidataQ114694010 ScholiaQ114694010MaRDI QIDQ1109336

Marvin Jay Greenberg

Publication date: 1988

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

axiom of Aristotlefoundations of non-Euclidean geometry

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10)

Related Items (7)

On the stepwise construction of the parallel postulate ⋮ The development of Euclidean axiomatics. The systems of principles and the foundations of mathematics in editions of the \textit{Elements} in the early modern age ⋮ Topology and Biology: From Aristotle to Thom ⋮ Parallel postulates and continuity axioms: a mechanized study in intuitionistic logic using Coq ⋮ An axiomatic look at the Erdős-Trost problem ⋮ The elementary Archimedean axiom in absolute geometry ⋮ The ubiquitous axiom

Cites Work

• The "Real" Projective Plane Without Continuity
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