Results for 'Jairo Jos�� Da Silva'

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  1.  2
    The (Reasonable) Effectiveness of Mathematics in Empirical Science.Jairo José da Silva - 2018 - Disputatio 7 (8).
    I discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains —mathematical domains in particular— whose formal structures bear relevant formal (...)
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  2.  32
    The Road Not Taken. On Husserl's Philosophy of Logic and Mathematics.Claire Ortiz Hill & Jairo Jose da Silva (eds.) - 1997 - College Publications.
    For different reasons, Husserl's original, thought-provoking ideas on the philosophy of logic and mathematics have been ignored, misunderstood, even despised, by analytic philosophers and phenomenologists alike, who have been content to barricade themselves behind walls of ideological prejudices. Yet, for several decades, Husserl was almost continuously in close professional and personal contact with those who created, reshaped and revolutionized 20th century philosophy of mathematics, logic, science and language in both the analytic and phenomenological schools, people whom those other makers of (...)
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  3.  20
    Proof in Mathematics: Response to Jairo José da Silva.O. Chateaubriand - 2008 - Manuscrito 31 (1):197-202.
    The paper by Jairo José da Silva is mainly concerned with the character of mathematical proof and with the nature of mathematics and its ontology. Although there is a fair amount of agreement in our views, I focus my response on three issues on which we disagree. The first is his view of mathematical proof as generally unconstrained by language and by a previous proof apparatus. The second is his discussion of Brouwer’s views on proof and formalization. The (...)
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  4. Filosofias da matemática, de Jairo José da Silva.Marcos Silva - 2009 - Princípios 16 (26):285-297.
    Resenha do livro de: SILVA, Jairo José da. Filosofias da matemática . Sáo Paulo: Editora UNESP, 2007.
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  5.  24
    Claire Ortiz Hill and Jairo José da Silva. The Road Not Taken: On Husserl's Philosophy of Logic and Mathematics.Burt C. Hopkins - 2016 - Philosophia Mathematica 24 (2):263-275.
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  6.  26
    Mathematics and its Applications: A Transcendental-Idealist Perspective.Jairo José da Silva - 2017 - Springer Verlag.
    This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what (...)
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  7.  14
    An Intriguing Development of Husserl’s Project: Jairo Jose da Silva: Mathematics and its Applications: A Transcendental-Idealist Perspective. Springer, 2017, 275pp, $99HB.Arezoo Islami - 2019 - Metascience 28 (1):77-80.
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  8.  21
    Claire Ortiz Hill and Jairo José da Silva. The Road Not Taken: On Husserl's Philosophy of Logic and Mathematics. Texts in Philosophy; 21. London: College Publications, 2013. ISBN 978-1-84890-099-8 . Pp. Xiv + 436. [REVIEW]Burt C. Hopkins - forthcoming - Philosophia Mathematica:nkw006.
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  9.  16
    Hill, Claire Ortiz and Jairo Jose da Silva., The Road Not Taken, On Husserl's Philosophy of Logic and Mathematics. [REVIEW]Mirja Hartimo - 2014 - Review of Metaphysics 68 (1):167-168.
  10.  31
    Husserl and Hilbert on Completeness, Still.Jairo Jose da Silva - 2016 - Synthese 193 (6).
    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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  11.  24
    Husserl and Hilbert on Completeness, Still.Jairo Jose da Silva - 2016 - Synthese 193 (6):1925-1947.
    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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  12.  30
    Husserl's Two Notions Of Completeness.Jairo josé Da Silva - 2000 - 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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  13.  17
    Resenha de Filosofias da matemática de autoria de Jairo José da Silva (Unesp, 2007).Jonas Arenhart & Fernando Moraes - 2010 - Manuscrito 33 (2):531-550.
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  14.  20
    The Nature of Propositions: Reply to Jairo José da Silva.O. Chateaubriand - 2004 - Manuscrito 27 (1):147-157.
    In §1 I reply to Jairo’s objections to my account of truth and falsity showing that my account of falsity does not imply that false sentences refer to something. In §2 I argue that Jairo’s main objection to my account of propositions as abstract properties is based on a misunderstanding concerning the purpose of this account. In §3 I examine Jairo’s suggestion that contradictory sentences can be said to describe possible states of affairs.
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  15.  20
    Husserl's Phenomenology and Weyl's Predictivism.Jairo Da Silva - 1997 - Synthese 110 (2):277-296.
    In this paper I discuss the version of predicative analysis put forward by Hermann Weyl in "Das Kontinuum". I try to establish how much of the underlying motivation for Weyl's position may be due to his acceptance of a phenomenological philosophical perspective. More specifically, I analyze Weyl's philosophical ideas in connexion with the work of Husserl, in particular "Logische Untersuchungen" and "Ideen I". I believe that this interpretation of Weyl can clarify the views on mathematical existence and mathematical intuition which (...)
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  16. Mathematics and Its Applications, A Transcendental-Idealist Perspective.Jairo José da Silva - 2017 - Springer.
    This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what (...)
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  17. Husserl's Conception of Logic.Jairo José da Silva - 1999 - Manuscrito: Revista Internacional de Filosofía 22 (2):367-397.
     
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  18.  16
    The Many Senses of Completeness.Jairo da Silva - 2000 - Manuscrito 23 (2):41-60.
    In this paper I study the variants of the notion of completeness Husserl pre-sented in “Ideen I” and two lectures he gave in Göttingen in 1901. Introduced primarily in connection with the problem of imaginary numbers, this notion found eventually a place in the answer Husserl provided for the philosophically more im-portant problem of the logico-epistemological foundation of formal knowledge in sci-ence. I also try to explain why Husserl said that there was an evident correlation between his and Hilbert’s notion (...)
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  19.  66
    Husserl on Geometry and Spatial Representation.Jairo José da Silva - 2012 - Axiomathes 22 (1):5-30.
    Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of physical (...)
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  20. Beyond Leibniz : Husserl's Vindication of Symbolic Knowledge.Jairo José da Silva - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer.
  21. Notes on Authors 379.Jairo Jose da Silva - 2000 - Manuscrito 23.
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  22.  14
    Godel and transcendental phenomenology.Jairo Jose da Silva - 2005 - Revue Internationale de Philosophie 4:553-574.
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  23.  52
    Structuralism and the Applicability of Mathematics.Jairo José da Silva - 2010 - 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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  24. The Effectiveness of Mathematics in Empirical Science [La Efectividad de la Matemática En Las Ciencias Empíricas].Jairo José da Silva - 2018 - Disputatio. Philosophical Research Bulletin 7 (8).
    I discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains —mathematical domains in particular— whose formal structures bear relevant formal (...)
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  25. Imposturas intelectuais: algumas reflexões.Jairo José da Silva - 2004 - 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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  26.  64
    The Axioms of Set Theory.Jairo José Da Silva - 2002 - 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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  27. A Phenomenological Inquiry Into The Concept Of Set.Jairo Da Silva - 2006 - Manuscrito 29 (2):291-316.
    The main concern of this paper is the justification of the axioms of Zermelo-Fraenkel set theory, either as true statements about a concept of set or, alternatively, as true statements about abstract objects. I want to argue here that, in either case, set theory can be seen as a body of knowledge largely built on intuitive foundations. I call this inquiry “phenomenological” for it approaches its subject from the perspective of the intentional acts that originate sets as doubly dependent objects. (...)
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  28. Editorial: Husserl at the Threshold of a New Century.Jairo da Silva & Michael Wrigley - 2000 - Manuscrito 23 (2):7-9.
     
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  29. Prologue.Jairo Da Silva - 2004 - Manuscrito 27 (1):7-8.
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  30. Mathematics and the Crisis of Science.Jairo José da Silva - 2008 - Diálogos. Revista de Filosofía de la Universidad de Puerto Rico 43 (91):37-58.
  31.  19
    Intentional objects and objective existence.Jairo José da Silva - 1991 - 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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  32.  7
    Phenomenology and the Formal Sciences.Jairo José Da Silva - 2002 - Veritas – Revista de Filosofia da Pucrs 47 (1):61.
    Este artigo procura mostrar que as idéias filosóficas de Husserl não apenas influenciaram o trabalho de alguns dos maiores matemáticos do século XX, mas foram decisivas para aproximarem uma epistemologia das ciências formais de uma fenomenologia do significado.
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  33.  20
    Poincaré on Mathematical Intuition. A Phenomenological Approach to Poincaré's Philosophy of Arithmetic.Jairo José Da Silva - 1996 - Philosophia Scientiae 1 (2):87-99.
  34.  16
    On the Nature of the Proposition.Jairo da Silva - 2004 - Manuscrito 27 (1):141-146.
    I present here my criticism of Chateaubriand’s account of propositions as having an identifying character with respect to reality. I claim that propositions are better understood as pictures of possible states-of-affairs, and that this account is more natural considering the acts of judgment that are at the origin of propositions. I also present a possible way of understanding the notion of a possible state-of-affairs that takes care of the seemingly absurd case of necessarily false, but meaningful propositions.
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  35.  11
    On Proofs in Mathematics.Jairo da Silva - 2008 - Manuscrito 31 (1):185-196.
    In his book Chateaubriand points out some differences between the mathematical and the formal notions of proof. I argue here that the contrast between both cannot be exaggerated, and that the latter fails to represent essential aspects of the former. I also sketch a view of the nature of mathematics that can accommodate one particular feature of mathematical proofs the formal notion, by its very nature, cannot: their freedom.Em seu livro, Chateaubriand aponta algumas diferenças entre a noção formal e a (...)
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  36.  9
    The Axioms of Set Theory.Jairo José Da Silva - 2002 - 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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  37.  56
    Husserl's Phenomenology and Weyl's Predictivism.Jairo José Da Silva - 1997 - Synthese 110 (2):277 - 296.
    In this paper I discuss the version of predicative analysis put forward by Hermann Weyl in "Das Kontinuum". I try to establish how much of the underlying motivation for Weyl's position may be due to his acceptance of a phenomenological philosophical perspective. More specifically, I analyze Weyl's philosophical ideas in connexion with the work of Husserl, in particular "Logische Untersuchungen" and "Ideen I". I believe that this interpretation of Weyl can clarify the views on mathematical existence and mathematical intuition which (...)
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  38.  28
    Resenha 'Husserl or Frege: Meaning, Objectivity and Mathematics' (Claire Ortiz Hill & Guillermo E. Rosado Haddock).Jairo da Silva - 2000 - Manuscrito 23 (2):351-372.
  39.  35
    Pensamento crítico: o poder da lógica e da argumentação.Jairo José da Silva - 2012 - Manuscrito 35 (2):312-319.
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  40.  26
    Husserl's Philosophy of Mathematics.Jairo José da Silva - 1993 - Manuscrito: Revista Internacional de Filosofía 16 (2):121-148.
  41.  9
    A Phenomenological Inquiry Into the Concept of Set.Jairo da Silva - 2005 - Manuscrito 28 (2):291-316.
    The main concern of this paper is the justification of the axioms of Zermelo-Fraenkel set theory, either as true statements about a concept of set or, alternatively, as true statements about abstract objects . I want to argue here that, in either case, set theory can be seen as a body of knowledge largely built on intuitive foundations . I call this inquiry “phenomenological” for it approaches its subject from the perspective of the intentional acts that originate sets as doubly (...)
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  42.  26
    The Analytic / Synthetic Dichotomy: Husserl and the Analytic Tradition.Jairo José da Silva - 2016 - In Guillermo E. Rosado Haddock (ed.), Husserl and Analytic Philosophy. De Gruyter. pp. 35-54.
  43.  28
    Décio Krause 2002: Introdução aos fundamentos axiomáticos da ciência.Jairo José da Silva - 2003 - Natureza Humana 5 (1):257-264.
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  44.  58
    On the Principle of Excluded Middle.Jairo José da Silva - 2011 - Principia: An International Journal of Epistemology 15 (2):333.
    I carry out in this paper a philosophical analysis of the principle of excluded middle (or, as it is often called in the version I favor here, principle of bivalence: any meaningful assertion is either true or false). This principle has been criticized, and sometimes rejected, on the charge that its validity depends on presuppositions that are not, some believe, universally obtainable; in particular, that any well-posed problem is solvable. My goal here is to show that, although excluded middle does (...)
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  45.  50
    Husserl's Two Notions of Completeness: Husserl and Hilbert on Completeness and Imaginary Elements in Mathematics.Jairo José Da Silva - 2000 - 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 he gave in Göttingen in 1901 and other related texts of the same period, a problem that had occupied Husserl since the beginning of 1890, when he 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 (...)
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  46.  24
    Objetos Intencionais E Existência Objetiva.Jairo José da Silva - 1991 - Trans/Form/Ação 14:155-164.
  47.  8
    Structuralism and the Applicability of Mathematics.Jairo José da Silva - 2010 - Axiomathes 20 (2):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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  48.  15
    Imposturas intelectuais: algumas reflexões.Jairo José da Silva - 2004 - Natureza Humana 6 (1):87-99.
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  49.  10
    On the Principle of Excluded Middle DOI:10.5007/1808-1711.2011v15n2p333.Jairo José da Silva - 2011 - Principia: An International Journal of Epistemology 15 (2):333-347.
    I carry out in this paper a philosophical analysis of the principle of excluded middle. This principle has been criticized, and sometimes rejected, on the charge that its validity depends on presuppositions that are not, some believe, universally obtainable; in particular, that any well-posed problem is solvable. My goal here is to show that, although excluded middle does indeed rest on certain presuppositions, they do not have the character of hypotheses that may or may not be true, or matters of (...)
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  50.  8
    Novel Insights of Effects of Pregabalin on Neural Mechanisms of Intracortical Disinhibition in Physiopathology of Fibromyalgia: An Explanatory, Randomized, Double-Blind Crossover Study.Alícia Deitos, Matheus Dorigatti Soldatelli, Jairo Alberto Dussán-Sarria, Andressa Souza, Iraci Lucena da Silva Torres, Felipe Fregni & Wolnei Caumo - 2018 - Frontiers in Human Neuroscience 12.
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