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Estrukturalismoaren balantze bat matematikan
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2014)
The structuralist view of mathematics was quite extended among mathematicians in the second half of twentieth century. This paper attempts to assess the extent of this perspective of mathematics, in its various forms, in ...
Saunders Mac Lane: logika, matematika eta filosofia
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2005)
Kategoriak analogia matematikorako
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2009)
Analogy in Mathematics has to be taken from a triple point of view:Conceptual analogy, analogical reasoning, and analogy-based approaches to generalisation in some relevant mathematical fields. My basic point in this short ...
Matematikaren barne oinarrien bilaketa XIX. mendean
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2008)
The aim of this short notice is to present the evolution of the process of arithmetization of Analysis during the XIXth century, especially in what concerns the different approaches to the conceptual foundations of continuity, ...
Matematikaren filosofia fundamentista vs. ez-fundamentista. Ikuspegi nagusi batzuk
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2016)
The logicist project launched by Frege as a continuation of the arithmetization and rigorization process of analysis during the 19th century, not only served to start the modern field of the philosophy of mathematics but, ...