- Tytuł:
- Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl
- Autorzy:
- Aranda, Víctor
- Powiązania:
- https://bibliotekanauki.pl/articles/750024.pdf
- Data publikacji:
- 2020
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
Husserl
completeness
categoricity
relative and absolute definiteness
imaginary numbers - Opis:
- Husserl's two notions of "definiteness" enabled him to clarify the problem of imaginary numbers. The exact meaning of these notions is a topic of much controversy. A "definite" axiom system has been interpreted as a syntactically complete theory, and also as a categorical one. I discuss whether and how far these readings manage to capture Husserl's goal of elucidating the problem of imaginary numbers, raising objections to both positions. Then, I suggest an interpretation of "absolute definiteness" as semantic completeness and argue that this notion does not suffice to explain Husserl's solution to the problem of imaginary numbers.
- Źródło:
-
Bulletin of the Section of Logic; 2020, 49, 2
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł