The direction-theory of parallels: geometry and philosophy in the age of Kant

DOI10.1007/978-3-031-40855-7_20MaRDI QIDQ6623920

Vincenzo De Risi

Publication date: 24 October 2024

zbMATH Keywords

Euclidean geometryparallel postulateanalysis situsnon-Euclidean geometriesmathematical epistemologyKant's philosophy of mathematicsdirection theorysynthetic judgements

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 18th century (01A50) History of mathematics in the 19th century (01A55) History of geometry (51-03)

Cites Work

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• Inhalt und Methode des planimetrischen Unterrichts. Eine vergleichende Planimetrie.
• The rise and fall of the German combinatorial analysis
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• Grundlagen, Section 64: Frege's Discussion of Definitions by Abstraction in Historical Context
• Kant, Herbart and Riemann
• Kant on Parallel Lines
• Curiosa mathematica. Part I.: A new theory of parallels.

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