%0 Journal Article
%A Aranda Utrero, Víctor
%T Completeness, categoricity and imaginary numbers: the debate on Husserl
%D 2020
%@ 0138-0680
%U https://hdl.handle.net/20.500.14352/98461
%X 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.
%~