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  1. Jairo Jose da Silva (forthcoming). Husserl and Hilbert on Completeness, Still. Synthese:1-23.
    In the first year of the twentieth century, in Gottingen, Husserl delivered two talks dealing with a problem that proved central in his philosophical development, that of imaginary elements in mathematics. In order to solve this problem Husserl introduced a logical notion, called “definiteness”, and variants of it, that are somehow related, he claimed, to Hilbert’s notions of completeness. Many different interpretations of what precisely Husserl meant by this notion, and its relations with Hilbert’s ones, have been proposed, but no (...)
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  2. Jairo José da Silva (2010). Beyond Leibniz : Husserl's Vindication of Symbolic Knowledge. In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer
  3. Jairo José da Silva (2010). Structuralism and the Applicability of Mathematics. Axiomathes 20 (2-3):229-253.
    In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.
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  4. Jairo José da Silva (2008). Mathematics and the Crisis of Science. Dialogos 43 (91):37-58.
  5. Jairo Jose da Silva (2005). Godel and transcendental phenomenology. Revue Internationale de Philosophie 4:553-574.
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  6. Jairo José da Silva (2004). Imposturas intelectuais: algumas reflexões. Human Nature 6 (1):87-99.
    Neste artigo, relato os aspectos mais salientes do affair Sokal-Bricmont - uma paródia que evoluiu para uma crítica articulada dos excessos de um certo pensamento pós-modernista - e analiso algumas das reações que suscitou em artigos publicados na Folha de S. Paulo. Termino com algumas reflexões sobre a nefasta negligência para com as ciências exatas na educação em geral e, em particular, na formação dos profissionais das áreas de filosofia e ciências humanas.In this paper I summarize some of the most (...)
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  7. Jairo José Da Silva (2002). The Axioms of Set Theory. Axiomathes 13 (2):107-126.
    In this paper I argue for the view that the axioms of ZF are analytic truths of a particular concept of set. By this I mean that these axioms are true by virtue only of the meaning attached to this concept, and, moreover, can be derived from it. Although I assume that the object of ZF is a concept of set, I refrain from asserting either its independent existence, or its dependence on subjectivity. All I presuppose is that this concept (...)
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  8. Jairo josé Da Silva (2000). Husserl's Two Notions Of Completeness. Synthese 125 (3):417-438.
    In this paper I discuss Husserl's solution of the problem of imaginary elements in mathematics as presented in the drafts for two lectures hegave in Göttingen in 1901 and other related texts of the same period,a problem that had occupied Husserl since the beginning of 1890, whenhe was planning a never published sequel to Philosophie der Arithmetik(1891). In order to solve the problem of imaginary entities Husserl introduced,independently of Hilbert, two notions of completeness (definiteness in Husserl'sterminology) for a formal axiomatic (...)
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  9. Jairo Jose da Silva (2000). Notes on Authors 379. Manuscrito 23.
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  10. Jairo José da Silva (1999). Husserl's Conception of Logic. Manuscrito: Revista Internacional de Filosofía 22 (2):367-397.
     
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  11. Claire Ortiz Hill & Jairo Jose da Silva (eds.) (1997). The Road Not Taken. On Husserl's Philosophy of Logic and Mathematics. College Publications.
  12. Jairo José Da Silva (1996). Poincaré on Mathematical Intuition. A Phenomenological Approach to Poincaré's Philosophy of Arithmetic. Philosophia Scientiae 1 (2):87-99.
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  13. Jairo José da Silva (1993). Husserl's Philosophy of Mathematics. Manuscrito: Revista Internacional de Filosofía 16 (2):121-148.
  14. Jairo José da Silva (1991). Intentional objects and objective existence. Trans/Form/Ação 14:155-164.
    In this paper I show the possibility of an ontology of mathematics that keeps some points in common with platonism and constructivism while diverging from them in other essencial ones. I understand that mathematical objects are simply the referential focus of mathematical discourse, I also understand that their existence is merely intentional but none the less objective, in the sense of being shared by all those who are engaged in the mathematical activity. However, the objective existence of mathematical entities is (...)
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