Possibility vs iterativity: Leibniz and Aristotle on the infinite

DOI10.1007/978-3-030-97303-2_12OpenAlexW4285197867MaRDI QIDQ2094151

Monica Ugaglia

Publication date: 28 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-97303-2_12

zbMATH Keywords

continuumAristotleinfiniteLeibnizpotentiality and actualitysyncategorematicity

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Philosophical and critical aspects of logic and foundations (03A05) History of mathematics in the 18th century (01A50) History of mathematics in Late Antiquity and medieval Europe (01A35) History of mathematics in the 17th century (01A45) History of Greek and Roman mathematics (01A20)

Related Items (1)

LEIBNIZ ON BODIES AND INFINITIES: RERUM NATURA AND MATHEMATICAL FICTIONS

Cites Work

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• Leibniz's syncategorematic infinitesimals
• Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond
• The logic of categorematic and syncategorematic infinity
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Galileo and Leibniz: Different approaches to infinity
• Leibniz's syncategorematic infinitesimals. II: Their existence, their use and their role in the justification of the differential calculus
• Geometry and monadology. Leibniz's \textit{analysis situs} and philosophy of space
• Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite
• Leibniz’s Actual Infinite in Relation to His Analysis of Matter
• Leibniz’s Laws of Continuity and Homogeneity

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