Aranda Utrero, Víctor2024-02-022024-02-022020-06-30Aranda, V. (2020). Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl. Bulletin of the Section of Logic, 49(2), 109–125. https://doi.org/10.18778/0138-0680.2020.070138-068010.18778/0138-0680.2020.07https://hdl.handle.net/20.500.14352/98461Husserl'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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal article2449-836Xhttps://czasopisma.uni.lodz.pl/bulletin/article/view/7970open access17Husserlcompletenesscategoricityrelative and absolute de finitenessimaginary numbersLógica (Filosofía)11 Lógica