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Axiomathes

, Volume 25, Issue 3, pp 335–343 | Cite as

On Essentialism and Existentialism in the Husserlian Platonism: A Reflexion Based on Modal Logic

  • Carlos Lobo
  • Cleverson Leite Bastos
  • Carlos Eduardo de Carvalho VargasEmail author
Original Paper

Abstract

Departing from modal logic, Jean-Yves Girard, as a logician interested in philosophy, presented a distinction between essentialism and existentialism in logic. Carlos Lobo reflected about the Girard’s concept to reinterpret the Husserlian Platonism in regard of the status of logical modalities. We start rescuing the notion of modal logic in the Edmund Husserl’s works, especially Formal and Transcendental Logic and First Philosophy. Developing this reflexion, we propose a new contribution to this discussion, reinterpreting the platonic influence in the Husserlian notions of eidos and science, light of some readings of Lee Hardy and Johanna M. Tito. As a conclusion of this dialogue between Husserl and Girard, the method of eidetic variation is presented as a tool to review the idea of science, in a manner consistent with the phenomenological approach.

Keywords

Philosophy of logic Phenomenology Edmund Husserl Jean-Yves Girard Modal logic Platonism 

Notes

Acknowledgments

This research was made possible by a Grant from CAPES and PUC-PR to develop a thesis project. We are also grateful to the participants of the 45th Annual Meeting of the Husserl Circle for their insightful suggestions.

References

  1. Bachelard S (1957) La Logique de Husserl: Étude sur Logique Formelle et Logique Transcendentale. PUF, ParisGoogle Scholar
  2. Bastos C, Oliveira P (2012) Lógica modal: aspetos históricos, vol 1. Champagnat, CuritibaGoogle Scholar
  3. Bastos C, Vargas C (2013) Considerações sobre a lógica husserliana em uma perspectiva semântica. Revista da Católica 5(9 + 10):141–155. http://catolicaonline.com.br/revistadacatolica2/
  4. di Cosmo R, Miller D (2010) Linear logic. In: Zalta E (ed) The stanford encyclopedia of philosophy, fall 2010 edition. http://plato.stanford.edu/archives/fall2010/entries/logic-linear/
  5. Girard J (2007) Truth, modality and intersubjectivity. Mathematical structures in computer science 17(6):1153–1167. http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1444836
  6. Girard J (2011) The blind spot: lectures on logic. European Mathematical Society, ZurichCrossRefGoogle Scholar
  7. Haddock G (1997) Husserl’s relevance for the philosophy and foundations of mathematics. Axiomathes 1(3):125–142. http://www.springerlink.com/content/lh4660j22070611j/
  8. Haddock G (2007) Why and how Platonism? Logic J IGPL 15(5–6):621–636. http://jigpal.oxfordjournals.org/content/15/5-6/621.full?sid=fe42f4e4-dcb4-4680-aab3-f418e5022694
  9. Hardy L (1992) The idea of science in husserl and the tradition. In: Hardy L, Embree L (eds) Phenomenology of natural science. Kluwer Academic Publishers, Dordrecht, pp 1–34CrossRefGoogle Scholar
  10. Hardy L (2013) Nature’s suit: Husserl’s phenomenological philosophy of the physical sciences. University Press, OhioGoogle Scholar
  11. Hill C (2008) Translator’s introduction. In: Husserl E (ed) Introduction to logic and theory of knowledge: lectures 1906/07. Translated by Claire O. Hill. Springer, Dordrecht, pp xi–xixGoogle Scholar
  12. Husserl E (1956) Erste Philosophie: Erste Teil: Kritische Ideengeschichte, Husserliana, vol. VII, Boehm R (ed) Martinus Nijhoff, Den HaagGoogle Scholar
  13. Husserl E (1973) Cartesianische Meditationen und Pariser Vorträge, Husserliana, vol. I, Strasser S (ed) Martinus Nijhoff, Den HaagGoogle Scholar
  14. Husserl E (1974) Formale and transzendentale Logik. Versuch einer Kritik der logischen Vernunft, Husserliana, vol. XVII, Janssen P (ed) Martinus Nijhoff, Den Haag. English Translation: Cairns D (1969) Formal and Transcendental Logic. Martinus Nijhoff, Den HaagGoogle Scholar
  15. Husserl E (1975) Logische Untersuchungen. Erster Teil. Prolegomena zur reinen Logik. Text der 1. und der 2. Auflage, Husserliana, vol. XVIII, Holenstein E (ed) Martinus Nijhoff, Den HaagGoogle Scholar
  16. Husserl E (1976) Die Krisis der europäischen Wissenschaften und die transzendentale Phänomenologie. Eine Einleitung in die phänomenologische Philosophie, Husserliana, vol. VI, Biemel W (ed) Martinus Nijhoff, Den Haag. English Translation: Carr D (1970). The Crisis of European Sciences and Transcendental Phenomenology: an introduction to phenomenological philosophy. Northwestern University Press, EvanstonGoogle Scholar
  17. Husserl E (1977) Ideen zu einer reinen Phänomenologie und phänomenologischen Philosophie. Erstes Buch: Allgemeine Einführungin die reine Phänomenologie 1. Halbband: Text der 1.-3. Auflage- Nachdruck, Husserliana, vol. III/1, Schuhmann K (ed) Martinus Nijhoff, Den HaagGoogle Scholar
  18. Husserl E (1984) Logische Untersuchungen. Zweiter Teil. Untersuchungen zur Phänomenologie und Theorie der Erkenntnis, Husserliana, vol. XIX, Panzer U (ed) Martinus Nijhoff, Den HaagGoogle Scholar
  19. Husserl E (1987) Vorlesungen über Bedeutungslehre: Sommersemester 1908, Husserliana, vol. XXVI, Panzer U (ed) Martinus Nijhoff, Den HaagGoogle Scholar
  20. Lanciani A (2008) Husserl et le concept de probabilité. In: Phenomenologie des Modalités: identité et subjectivité – journée d’étude, Université de Caen, Caen, 10 Déc 2008Google Scholar
  21. Lobo C (2008) Phénoménologie de l’individuation et critique de la raison logique. Annales de Phénoménologie 7:93–224 Google Scholar
  22. Lobo C (2009) The Modal Composition of Husserlian Eidos. In: 39th Annual Meeting of the Husserl Circle, Institut d’Histoire et de Philosophie des Sciences et des Techniques, Paris, 22–25 June 2009Google Scholar
  23. Lobo C (2010) The Husserlian project of formal logic and individuation. In: 41st Annual Meeting of the Husserl Circle, New School for Social Research, New York City. http://www.husserlcircle.org/HC_NYC_Proceedings.pdf
  24. Lobo C (2014) Husserl and Girard on Modal Logic and Platonism. Paper presented at the 45th Annual Meeting of the Husserl Circle, Dartmouth College, Hanover, 28–31 May 2014Google Scholar
  25. Nabais N (1999) A Evidência da Possibilidade. A Questão Modal na Fenomenologia de Husserl. Relógio d’Água, LisboaGoogle Scholar
  26. Okada M (2004) Linear logic and intuitionistic logic. Revue Internationale de Philosophie 230(4):449–481. http://www.cairn.info/revue-internationale-de-philosophie-2004-4-page-449.htm
  27. Okada M (2008) Some remarks on linear logic. In: von Atten M, Boldini P, Bourdeau M, Heinzmann G (eds) One hundred years of intuitionism (1907–2007). Birkhauser, Berlin, pp 280–300CrossRefGoogle Scholar
  28. Plato (1997) Complete works. In: Cooper JM (ed) Hackett Publishing, IndianapolisGoogle Scholar
  29. Rota G-C (1992) Husserl and the reform of logic. In: Kac M, Rota G-C, Schwartz J (eds) Discrete thoughts: essays on mathematics, science and philosophy. Renz P (rev), 2nd edn. Birkhäuser, Boston, pp 167–174Google Scholar
  30. Rota G-C (1997) Indiscrete thoughts. In: Palombi F (ed) Birkhäuser, BostonGoogle Scholar
  31. Simons P (1982) Three essays in formal ontology. In: Smith B (ed) Parts and moments: studies in logic and formal ontology. Philosophia Verlag, München, pp 111–255Google Scholar
  32. Tito J (1987) Logic in the Husserlian context. Thesis, McMaster University. http://digitalcommons.mcmaster.ca/opendissertations
  33. Tito J (1990) Logic in the Husserlian context. Northwestern University Press, EvanstonGoogle Scholar
  34. van Dalen D (1984) Four letters from Edmund Husserl to Hermann Weyl. Husserl Stud 1(1):1–12. http://link.springer.com/article/10.1007%2FBF01569204
  35. Vigo A (2004) Juicio y modalidad en Husserl: la evolución de la teoría del juicio y el contenido judicativo de Vorlesungen über Bedetungslehre hasta Ideen I. Anuario Filosófico XXXVII(1):157–195. http://dspace.unav.es/dspace/handle/10171/4529
  36. von Kries J (1886) Die Principien der Wahrscheinlichkeitsrechnung: Eine Logische Untersuchung. JCB Mohr, FreiburgGoogle Scholar
  37. Weyl H (1919) Raum - Zeit - Materie. Vorlesungen über allgemeine Relativitätstheorie. Julius Springer, Berlin. https://archive.org/details/raumzeitmateriev00weyl
  38. Weyl H (1981) Le fantôme de la modalité. Mathématiques et Sciences Humaines 74(1):37–60. http://eudml.org/doc/94255

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Carlos Lobo
    • 2
  • Cleverson Leite Bastos
    • 1
  • Carlos Eduardo de Carvalho Vargas
    • 1
    Email author
  1. 1.Postgraduate Program in PhilosophyPontifical Catholic University of Paraná, School of Education and HumanitiesPrado Velho, CuritibaBrazil
  2. 2.Directeur de ProgrammeCollège International de PhilosophieParisFrance

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