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Operar e Exibir: Aspectos do Conhecimento Simbólico na Filosofia Tractariana da Matemática

Operar e Exibir: Aspectos do Conhecimento Simbólico na Filosofia Tractariana da Matemática

Gisele Dalva Secco and Pedro Maggi Rech Noguez, “Operar e Exibir: Aspectos do Conhecimento Simbólico na Filosofia Tractariana da Matemática,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1463–92, DOI 10.17990/RPF/2017_73_3_1463.

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Operar e Exibir: Aspectos do Conhecimento Simbólico na Filosofia Tractariana da Matemática

Type Journal Article
Author Gisele Dalva Secco
Author Pedro Maggi Rech Noguez
Rights © 2018 Aletheia - Associação Científica e Cultural | © 2018 Revista Portuguesa de Filosofia
Volume 73
Issue 3-4
Pages 1463-1492
Publication Revista Portuguesa de Filosofia
ISSN 0870-5283; 2183-461X
Date 2017
DOI 10.17990/RPF/2017_73_3_1463
Language Portuguese
Abstract We offer a reading of some passages from Wittgenstein’s Tractatus Logico-Philosophicus in which, dealing with the symbolic constructions of arithmetic, Wittgenstein puts in motion (more than explicitly assumes) the most outstanding features of Leibniz’s concept of Symbolic Knowledge: the computational and the “ecthetic” functions of the notion of Symbolic Blind Though. We begin with a brief presentation of some conceptual distinctions proposed by Oscar Miguel Esquisabel in his investigation about the Leibnizian origin of the tradition of Symbolic Knowledge. We then contrast these topics with the way Pasquale Frascolla interprets those same Tractarian passages, emphasizing the way in which he suspends any relevant sense in which we could speak about formal knowledge in Wittgenstein’s opera. To make our criticism better suited, our projection of Leibnizian lights into the Tractatus and into Frascolla’s interpretation of it is assisted with a concise exposition of one historical development in the Leibnizian tradition. Grounded in a study in which Javier Legris retraces the features of Symbolic Blind Though in Frege’s works, we then conclude proposing the advantages of our approach.
Date Added 17/01/2018, 17:51:17
Modified 18/01/2018, 10:44:01

Tags:

  • arithmetic,
  • leibnizian symbolic knowledge,
  • Tractatus Logico-Philosophicus,
  • Wittgenstein

Notes:

  • dos Santos, Luiz Henrique Lopes. “A Essência da Proposição e a Essência do mundo.” In Tractatus Logico-Philosophicus. Tradução, apresentação e estudo introdutório de Luiz Henrique Lopes dos Santos, 11-128. São Paulo: Editora da Universidade de São Paulo, 2001.
    dos Santos, Luiz Henrique Lopes. “Notas críticas sobre o realismo matemático, à moda de Wittgenstein”. Analytica Revista de Filosofia, volume. 12 no. 1 (2008),                 https://revistas.ufrj.br/index.php/analytica/article/view/538/493 
    Esquisabel, Oscar Miguel. “Representing and Abstracting. An Analysis of Leibniz’s Concept of Symbolic Knowledge.” In Symbolic Knowledge from Leibniz to Husserl edited by Abel Lassalle Casanave, 1-50, London: College Publications, 2012.
    Ferrari, Massimo, e Stamatescu, Ion-Olimpiu. Symbol and physical knowledge: on the conceptual structure of physics Berlin Heidelberg New York: 2002
    Floyd, Juliet. “Number and Ascriptions of Number in Wittgenstein’s Tractatus.” In From Frege to Wittgenstein: Perspectives on Early Analytic Philosophy, edited by Erich H. Reck, 308-352, Oxford: Oxford University Press: 2002.
    Frascolla, Pasquale. Wittgenstein’s Philosophy of Mathematics. London/New York: Routledge, 1994.
    Frascolla, Pasquale. “The Tractatus System of Arithmetic”. Synthese 112, nº3 (Sep./1997), 353-378.
    Frascolla, Pasquale. Understanding Wittgenstein Tractatus. London/New York: Routledge, 2007. 
    Frege, Gottlob. Sobre a Justificação Científica de uma Conceitografia. Seleção e tradução de Luiz Henrique dos Santos. São Paulo: Abril, 1973.
    Ishiguro, Hidé. Leibniz’s Philosophy of Logic and Language. London: Duckwork, 1972.
    Lassalle Casanave, Abel. “Kant’s Avatars of Symbolic Knowledge:
The Role of Symbolic Manipulation in Kant’s Philosophy of Mathematics.” In Symbolic Knowledge from Leibniz to Husserl, edited by Abel Lassalle Casanave, 51-78, London: College Publications, 2012. 
    Legris, Javier. “Between Calculus and Semantic Analysis:
Symbolic Knowledge in the Origins of Mathematical Logic.” In Symbolic Knowledge from Leibniz to Husserl, edited by Abel Lassalle Casanave, 79-114, London: College Publications, 2012.
    Lopes, Felipe. “Números, Nomes e Operadores Lógicos em Some Remarks on Logical Form”. Analytica Revista de Filosofia, volume 18, n0.1 (2014), https://revistas.ufrj.br/index.php/analytica/article/view/2520 
    Marion, Mathieu. Wittgenstein, Finitism and the Foundations of Mathematics. Oxford: Oxford University Press, 1998.
    Martins, Helena. “A escrita poética de Wittgenstein, sua tradução”. Revista Brasileira de Literatura Comparada, no. 19 (2011), http://revista.abralic.org.br/index.php/revista/article/view/274/278 
    Nakano, Anderson Luis. A matemática das Philosophische bemerkungen: Wittgenstein no contexto da Grundlagenkrise. Tese (Doutorado). Universidade Feedral de São Carlos: UFSCar, 2015,    https://repositorio.ufscar.br/handle/ufscar/7613 
    Ortega y Gasset. La idea de principio en Leibniz y la evolución de la teoría deductiva. Madrid: Alianza Editorial, 1979.
    Stenlund, Sören. The Origin of Symbolic Mathematics and the End of the Science of Quantity. Uppsala: Uppsala Universität, 2012.
    Wittgenstein, Ludwig. Tractatus Logico-Philosophicus. Tradução, apresentação e estudo introdutório de Luiz Henrique Lopes dos Santos. São Paulo: Editora da Universidade de São Paulo, 2001.

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