PASCH’S PHILOSOPHY OF MATHEMATICS

DOI10.1017/S1755020309990311zbMath1193.03002MaRDI QIDQ3550707

Dirk Schlimm

Publication date: 1 April 2010

Published in: The Review of Symbolic Logic (Search for Journal in Brave)

zbMATH Keywords

empiricismMoritz Paschdeductivism

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 20th century (01A60) Philosophical and critical aspects of logic and foundations (03A05) History of mathematical logic and foundations (03-03) History of mathematics in the 19th century (01A55)

Related Items (11)

PROJECTIVE DUALITY AND THE RISE OF MODERN LOGIC ⋮ ON THE RELATIONSHIP BETWEEN PLANE AND SOLID GEOMETRY ⋮ Constructive geometrical reasoning and diagrams ⋮ The correspondence between Moritz Pasch and Felix Klein ⋮ DEDEKIND AND HILBERT ON THE FOUNDATIONS OF THE DEDUCTIVE SCIENCES ⋮ Frege on intuition and objecthood in projective geometry ⋮ Frege and the origins of model theory in nineteenth century geometry ⋮ HILBERT, DUALITY, AND THE GEOMETRICAL ROOTS OF MODEL THEORY ⋮ Bridging the gap between analytic and synthetic geometry: Hilbert's axiomatic approach ⋮ The axiomatics of ordered geometry: I. Ordered incidence spaces ⋮ Frege's philosophy of geometry

Cites Work

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• The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes
• Mathematics has a front and a back
• Von Pasch zu Hilbert
• Worlds Out of Nothing
• Pasch entre Klein et Peano: empirisme et idéalité en géométrie
• Implizite Definitionen—Eine Verwechselungsgeschichte
• The Origins of Modern Axiomatics: Pasch to Peano
• Geometry and Empirical Science

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