RT Journal Article
T1 Completeness, categoricity and imaginary numbers: the debate on Husserl
T2 Exhaustividad, categoricidad y números imaginarios: el debate sobre Husserl
A1 Aranda Utrero, Víctor
AB 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.
PB Lodz University Press
SN 0138-0680
YR 2020
FD 2020-06-30
LK https://hdl.handle.net/20.500.14352/98461
UL https://hdl.handle.net/20.500.14352/98461
LA eng
NO Aranda, V. (2020). Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl. Bulletin of the Section of Logic, 49(2), 109–125. https://doi.org/10.18778/0138-0680.2020.07
DS Docta Complutense
RD 7 abr 2025