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.
Similar content being viewed by others
References
Bachelard S (1957) La Logique de Husserl: Étude sur Logique Formelle et Logique Transcendentale. PUF, Paris
Bastos C, Oliveira P (2012) Lógica modal: aspetos históricos, vol 1. Champagnat, Curitiba
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/
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/
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
Girard J (2011) The blind spot: lectures on logic. European Mathematical Society, Zurich
Haddock G (1997) Husserl’s relevance for the philosophy and foundations of mathematics. Axiomathes 1(3):125–142. http://www.springerlink.com/content/lh4660j22070611j/
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
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 1–34
Hardy L (2013) Nature’s suit: Husserl’s phenomenological philosophy of the physical sciences. University Press, Ohio
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–xix
Husserl E (1956) Erste Philosophie: Erste Teil: Kritische Ideengeschichte, Husserliana, vol. VII, Boehm R (ed) Martinus Nijhoff, Den Haag
Husserl E (1973) Cartesianische Meditationen und Pariser Vorträge, Husserliana, vol. I, Strasser S (ed) Martinus Nijhoff, Den Haag
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 Haag
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 Haag
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, Evanston
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 Haag
Husserl E (1984) Logische Untersuchungen. Zweiter Teil. Untersuchungen zur Phänomenologie und Theorie der Erkenntnis, Husserliana, vol. XIX, Panzer U (ed) Martinus Nijhoff, Den Haag
Husserl E (1987) Vorlesungen über Bedeutungslehre: Sommersemester 1908, Husserliana, vol. XXVI, Panzer U (ed) Martinus Nijhoff, Den Haag
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 2008
Lobo C (2008) Phénoménologie de l’individuation et critique de la raison logique. Annales de Phénoménologie 7:93–224
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 2009
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
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 2014
Nabais N (1999) A Evidência da Possibilidade. A Questão Modal na Fenomenologia de Husserl. Relógio d’Água, Lisboa
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
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 280–300
Plato (1997) Complete works. In: Cooper JM (ed) Hackett Publishing, Indianapolis
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 167–174
Rota G-C (1997) Indiscrete thoughts. In: Palombi F (ed) Birkhäuser, Boston
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 111–255
Tito J (1987) Logic in the Husserlian context. Thesis, McMaster University. http://digitalcommons.mcmaster.ca/opendissertations
Tito J (1990) Logic in the Husserlian context. Northwestern University Press, Evanston
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
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
von Kries J (1886) Die Principien der Wahrscheinlichkeitsrechnung: Eine Logische Untersuchung. JCB Mohr, Freiburg
Weyl H (1919) Raum - Zeit - Materie. Vorlesungen über allgemeine Relativitätstheorie. Julius Springer, Berlin. https://archive.org/details/raumzeitmateriev00weyl
Weyl H (1981) Le fantôme de la modalité. Mathématiques et Sciences Humaines 74(1):37–60. http://eudml.org/doc/94255
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lobo, C., Bastos, C.L. & Vargas, C.E.C. On Essentialism and Existentialism in the Husserlian Platonism: A Reflexion Based on Modal Logic. Axiomathes 25, 335–343 (2015). https://doi.org/10.1007/s10516-014-9248-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10516-014-9248-5