- Tytuł:
- Creating new concepts in mathematics: freedom and limitations. The case of Category Theory
- Autorzy:
- Semadeni, Zbigniew
- Powiązania:
- https://bibliotekanauki.pl/articles/1047591.pdf
- Data publikacji:
- 2020-12-28
- Wydawca:
- Copernicus Center Press
- Tematy:
-
categories
functors
Eilenberg-Mac Lane Program
mathematical cognitive transgressions
phylogeny
platonism - Opis:
- 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.
- Źródło:
-
Zagadnienia Filozoficzne w Nauce; 2020, 69; 33-65
0867-8286
2451-0602 - Pojawia się w:
- Zagadnienia Filozoficzne w Nauce
- Dostawca treści:
- Biblioteka Nauki
Artykuł