Searches for the origins of the epistemological concept of model in mathematics

DOI10.1007/s00407-017-0188-5zbMath1390.00051OpenAlexW2581887493MaRDI QIDQ2357601

Gert Schubring

Publication date: 14 June 2017

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-017-0188-5

zbMATH Keywords

theoretical physicsmathematical epistemologyconcept of modelconcept of theory

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 20th century (01A60) History of mathematics in the 19th century (01A55) History of geometry (51-03) Bibliographic studies (01A90)

Related Items (3)

Book review of: E. Brieskorn and W. Purkert, Biographie. Felix Hausdorff, Gesammelte Werke. Band IB ⋮ H.S.M. Coxeter's theory of accessibility: from Mario Pieri to Marvin Greenberg ⋮ Note on models

Cites Work

• Mathematical models as artefacts for research: Felix Klein and the case of Kummer surfaces
• The concept and the role of the model in mathematics and natural and social sciences. Proceedings of the colloquium sponsored by the Division of Philosophy of Sciences of the International Union of History and Philosophy of Sciences organized at Utrecht, January 1960, by Hans Freudenthal
• Collected papers. Volume 1: 1921--1934. Volume 2: 1935--1944. Volume 3: 1945--1957. Volume 4: 1958--1979. Ed. by Steven R. Givant and Ralph N. McKenzie
• Ansätze zur Begründung theoretischer Therme in der Mathematik. Die Theorie des Unendlichen bei Johann Schultz
• On the development of the model-theoretic viewpoint in logical theory
• The mathematics of the past: distinguishing its history from our heritage
• Exact philosophy. Problems, tools, and goals
• Between Timelessness and Historiality: On the Dynamics of the Epistemic Objects of Mathematics
• Modèles et modélisations, 1950-2000 : Nouvelles pratiques, nouveaux enjeux / Models and modeling, 1950-2000 : New practices, new implications
• Beltrami's model and the independence of the parallel postulate
• David Hilbert and his mathematical work
• Alfred Tarski: Semantic shift, heuristic shift in metamathematics
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