RT Book, Section T1 Non-denoting terms and "imaginary" numbers A1 Aranda Utrero, Víctor A2 Lemanski, Jens A2 Max, Ingolf AB This paper presents modern interpretations of Husserl’s solution to the so-called “problem of imaginary numbers”. The starting point of these interpretations are three different points of view on non-denoting terms: the many-sorted, the “nonexistent values” perspective and the “partial” approach. I will maintain that the last one is the most appropriate one for a reassessment of his Double Lecture, delivered in 1901. My proposal, that incorporates the existence predicate of free logics, gives an account of Husserl’s “existence axioms”, vindicating its essential role in the transition through the Imaginary. PB College Publications SN 978-1-84890-408-8 YR 2023 FD 2023 LK https://hdl.handle.net/20.500.14352/101571 UL https://hdl.handle.net/20.500.14352/101571 LA eng NO Aranda Utrero, V. (2023): “Non-denoting terms and "imaginary" numbers”, en J. Lemanski, I. Max, eds., Historia Logicae and its modern interpretation, London, College Publications, pp. 231-249. DS Docta Complutense RD 17 abr 2025