Foundations of Extensional Logic in Kant and its meaning to Formal Logic

Authors

  • Tiago Tranjan Universidade Federal de São Paulo - UNIFESP

DOI:

https://doi.org/10.26512/rfmc.v5i1.12566

Keywords:

Kantian logic, Transcendental logic, Formal logic, Extensionality

Abstract

The distinction between formal and transcendental logic is one of the greatest achievements of Kant’s critical philosophy. By means of a detailed analysis of Kant’s concept theory, with special attention to its formal aspects, this paper endeavours to articulate an unusual, though extremely fecund way of understanding this distinction. Our investigation will also shed light over another very important theme for logic: the notion of extensionality.

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Author Biography

Tiago Tranjan, Universidade Federal de São Paulo - UNIFESP

Possui graduação em Bacharelado em Matemática Pura pela Universidade de São Paulo (1999), mestrado em Filosofia pela Universidade de São Paulo (2005) e doutorado em Filosofia pela Universidade de São Paulo (2010). Tem experiência na área de Filosofia, com ênfase em lógica, atuando principalmente nos seguintes temas: lógica formal, história da lógica contemporânea, filosofia da matemática e filosofia da lógica.

References

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COFFA, A.The Semantic Tradition from Kant to Carnap: to the ViennaStation; Cambridge University Press: Cambridge, 1991. GRAYEFF,F. Exposição e Interpretação da Filosofia Teórica de Kant; Edições70: Lisboa, 1987.

HANNA, R.Kant e os Fundamentos da Filosofia Analítica; Editora Uni-sinos: São Leopoldo, 2004. HUSSERL, E.Formale und transzen-dentale Logik: Versuch einer Kritik der logischen Vernunft; Max Nie-meyer Verlag: Halle, 1929.

KANT, I.Kritik der reinen Vernunft; Suhrkamp: Frankfurt, 1974.

______Logik; Kant’s gesammelte Schriften, herausgegeben von der Kö-niglich Preussischen Akademie der Wissenschaften, Band IX: Ber-lim e Leipzig, 1923.______Kant‘s Briefwechsel; Kant’s gesam-melte Schriften, herausgegeben von der Königlich PreussischenAkademie der Wissenschaften, Band XI: Berlim e Leipzig, 1922.

______Kant’s handschriftlicher Nachlass, Band III, Logik; Kant’s ge-sammelte Schriften, herausgegeben von der Königlich PreussischenAkademie der Wissenschaften, Band XVI: Berlim e Leipzig, 1924.

______Kant’s Vorlesungen, Band I, Vorlesungen über Logik; Kant’sgesammelte Schriften, herausgegeben von der Königlich Preussi-schen Akademie der Wissenschaften, Band XXIV: Berlim e Leip-zig, 1966.

KLEIN, J.Greek Mathematical Thought and the Origin of Algebra(traduçãopara o inglês de Eva Brann); Dover: Nova York, 1968.MEHR-TENS, H.Moderne, Sprache, Mathematik ”“ eine Geschichte des Strei-tes um die Grundlagen der Disziplin und des Subjekts formaler Sys-teme; Suhrkamp: Frankfurt, 1990.

PRIEN, B.Kants Logik der Begriffe; Walter de Gruyter: Berlim/NovaYork, 2006.

SCHULTHESS, P.Relation und Funktion ”“ eine systematische und ent-wicklungsgeschichtliche Untersuchung zur theoretischen PhilosophieKants; Walter de Gruyter: Berlim, 1981.

Published

2018-08-03

How to Cite

TRANJAN, Tiago. Foundations of Extensional Logic in Kant and its meaning to Formal Logic. Journal of Modern and Contemporary Philosophy, [S. l.], v. 5, n. 1, p. 77–92, 2018. DOI: 10.26512/rfmc.v5i1.12566. Disponível em: https://periodicos.unb.br/index.php/fmc/article/view/12566. Acesso em: 22 jul. 2024.

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