Creating new concepts in mathematics: freedom and limitations. The case of Category Theory
In the paper we discuss the problem of limitations of freedom in mathematics and search for criteria which would differentiate the new concepts stemming from the historical ones from the new concepts that have opened unexpected ways of thinking and reasoning. We also investigate the emergence of...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | deu |
| Published: |
Copernicus Center Press
2020-12-01
|
| Series: | Zagadnienia Filozoficzne w Nauce |
| Subjects: | |
| Online Access: | https://zfn.edu.pl/index.php/zfn/article/view/512 |
| Summary: | In the paper we discuss the problem of limitations of freedom in mathematics and search for criteria which would differentiate the new concepts stemming from the historical ones from the new concepts that have opened unexpected ways of thinking and reasoning.
We also investigate the emergence of category theory (CT) and its origins. In particular we explore the origins of the term functor and present the strong evidence that Eilenberg and Carnap could have learned the term from Kotarbiński and Tarski. |
|---|---|
| ISSN: | 0867-8286 2451-0602 |