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

Content Provider	Springer Nature Link
Author	Schubring, Gert
Copyright Year	2017
Abstract	When did the concept of model begin to be used in mathematics? This question appears at first somewhat surprising since “model” is such a standard term now in the discourse on mathematics and “modelling” such a standard activity that it seems to be well established since long. The paper shows that the term— in the intended epistemological meaning—emerged rather recently and tries to reveal in which mathematical contexts it became established. The paper discusses various layers of argumentations and reflections in order to unravel and reach the pertinent kernel of the issue. The specific points of this paper are the difference in the epistemological concept to the usually discussed notions of model and the difference between conceptions implied in mathematical practices and their becoming conscious in proper reflections of mathematicians.Wann begann der Begriff des Modells in der Mathematik benutzt zu werden? Diese Frage mag auf den ersten Blick Erstaunen auslösen, weil ,Modell’ heute im Diskurs über die Mathematik einen solch selbstverständlichen Ausdruck und ,Modellieren’ eine solche Standard-Aktivität bildet, dass man ihn als Begriff für schon lange etabliert hält. Der Artikel zeigt, dass dessen Ursprünge—in der hier intendierten epistemologischen Bedeutung—dagegen relativ jung sind und versucht, die mathematischen Kontexte aufzudecken, in denen der Begriff etabliert wurde. Der Artikel führt durch mehrere Schichten von Argumentationen und Reflexionen, um den tatsächlichen Kern der Fragestellung herauszuschälen und ihn so zu erreichen. Der spezifische Ansatz des Artikels betrifft den Unterschied zwischen der epistemologischen Bedeutung von Modell zum üblichen Verständnis von Modell sowie den Unterschied zwischen in mathematischen Praktiken implizierten Konzeptionen und dem Bewusstwerden in eigenen Reflexionen von Mathematikern.
Ending Page	278
Page Count	34
Starting Page	245
File Format	PDF
ISSN	00039519
e-ISSN	14320657
Journal	Archive for History of Exact Sciences
Issue Number	3
Volume Number	71
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-01-28
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	History and Philosophical Foundations of Physics Philosophy of mathematics 20th century Philosophy of Science History of Science Bibliographic studies History of Mathematical Sciences Mathematics 19th century Historical Astronomy, Observations and Techniques
Content Type	Text
Resource Type	Article
Subject	Mathematics History and Philosophy of Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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