Regions-based two dimensional continua: The Euclidean case

DOI10.12775/LLP.2015.011zbMath1372.03026MaRDI QIDQ2987753

Stewart Shapiro, Geoffrey Hellman

Publication date: 18 May 2017

Published in: Logic and Logical Philosophy (Search for Journal in Brave)

zbMATH Keywords

TarskiEuclidean geometrymereologypointsArchimedean propertygunkpoint-free geometry

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Foundations of classical theories (including reverse mathematics) (03B30) Euclidean geometries (general) and generalizations (51M05)

Related Items (3)

Leibniz on the Continuity of Space ⋮ Predicativity and Regions-Based Continua ⋮ POINT-FREE GEOMETRY, OVALS, AND HALF-PLANES

Cites Work

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• Connection structures: Grzegorczyk's and Whitehead's definitions of point
• Axiomatizability of geometry without points
• THE CLASSICAL CONTINUUM WITHOUT POINTS
• Full Development of Tarski's Geometry of Solids

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