Leibniz on the Continuity of Space

DOI10.1007/978-3-030-25572-5_4zbMath1456.01005OpenAlexW2998233588MaRDI QIDQ3297219

Vincenzo De Risi

Publication date: 3 July 2020

Published in: Boston Studies in the Philosophy and History of Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25572-5_4

zbMATH Keywords

continuitycompletenesselementary geometrygeometric space\textit{analysis situs}

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) History of mathematics in the 17th century (01A45) History of general topology (54-03)

Related Items (3)

Euclid after Computer Proof-Checking ⋮ \textit{Scientia perspectiva}. Leibniz and geometric perspective ⋮ Leibniz's metaphysics of change: vague states and physical continuity

Cites Work

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• 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
• Leibniz's syncategorematic infinitesimals
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• Mereotopological connection
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• Geometry and monadology. Leibniz's \textit{analysis situs} and philosophy of space
• Aristotelian Continua
• Regions-based two dimensional continua: The Euclidean case
• On continuity: aristotle versus topology?
• Evolution of the Topological Concept of "Connected"
• Leibniz on The Elimination of Infinitesimals
• Completitud y continuidad en Fundamentos de la Geometría de Hilbert: acerca del Vollständigkeitsaxiom
• Varieties of Continua
• THE CLASSICAL CONTINUUM WITHOUT POINTS

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