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Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl

Víctor Aranda — 2020

Bulletin of the Section of Logic

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"...

Using fuzzy relational databases to represent agricultural and environmental information. An example within the scope of olive cultivation in Granada.

Juan Manuel Serrano;  M.ª Amparo Vila;  Víctor Aranda;  Gabriel Delgado — 2001

Mathware and Soft Computing

A query system for several types of users and for information retrieval about olive cultivation and its environmental support in the province of Granada (Spain) is introduced. The system is based on fuzzy data and is flexible. The main problems which this model solves are those relating to uncertain and imprecise data processing (as in the case of environmental and cultivation information), spatial and punctual data representation, and fusion of cultivation-resulting and scientific-experimental...

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