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Artículo
Hilbert, logicism, and mathematical existence
(Springer, 2009)
David Hilbert’s early foundational views, especially those corresponding to the 1890s, are analysed here. I consider strong evidence for the fact that Hilbert was a logicist at that time, following upon Dedekind’s footsteps ...
Capítulo de Libro
El papel de la técnica en el conocimiento científico
(Fundación El Monte, 2006)
Ponencia
Prospects for practice-based philosophy of logic
(Universidad de Santiago de Compostela, Servizo de Publicacións e Intercambio Científico, 2012)
We explore prospects for practice-based approaches to logical theory, in particular the link between classical and intuitionistic logic and the inferential structure of traditional practices of representation & argument ...
Tesis Doctoral
Artículo
Los lógicos, en vida y obra [Reseña del libro "Los lógicos", por J. Mosterín]
(Real Sociedad Matemática Española, 2000)
Artículo
Artículo
O surgimento da abordagem conjuntista em matemática
(Sociedade Brasileira de História da Matemática, 2002)
This paper reviews some of the central ideas that the author has offered in an attempt to analyze the rise of the set-theoretical approach in mathematics, from the 1850s to the 1920s. We focus on viewpoints that may be ...
Artículo
Guest editors’ introduction
(Universidad del País Vasco, 2018)
Capítulo de Libro
Artículo
Dedekind and Wolffian Deductive Method
(Springer, 2022)
Dedekind’s methodology, in his classic booklet on the foundations of arithmetic, has been the topic of some debate. While some authors make it closely analogue to Hilbert’s early axiomatics, others emphasize its idiosyncratic ...