Searches for the origins of the epistemological concept of model in mathematics
| Autor: | Gert Schubring |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
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 |
| Zdroj: | Archive for History of Exact Sciences. 71:245-278 |
| ISSN: | 1432-0657 0003-9519 |
| DOI: | 10.1007/s00407-017-0188-5 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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