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Searches for the origins of the epistemological concept of model in mathematics
- Source :
- Archive for History of Exact Sciences. 71:245-278
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 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.
- Subjects :
- Physics
Philosophy of science
Standard Activity
010102 general mathematics
06 humanities and the arts
01 natural sciences
Term (time)
Epistemology
Mathematics (miscellaneous)
060105 history of science, technology & medicine
History and Philosophy of Science
Order (exchange)
0601 history and archaeology
0101 mathematics
History of science
Mathematics
Subjects
Details
- ISSN :
- 14320657 and 00039519
- Volume :
- 71
- Database :
- OpenAIRE
- Journal :
- Archive for History of Exact Sciences
- Accession number :
- edsair.doi...........94fde3a10a35d1f2558534187f673ea0