Quantifiers and Ontological Fluctuations: A Dialogical and Dynamical Point of View of Existence


The objective of this article is, from the notion of existence as a function of choice, to propose a dynamic quantifier capable of capturing ontological slides or fluctuations within a logical proof. Indeed, we call ontological sliding the passage from indetermination to the ontological determination of the singular terms involved in a proof. Both notions will be presented in the pragmatic approach of Dialogics that, due to its dual semantics, allows to handle both questions in an optimal fashion. 
  • Referencias
  • Cómo citar
  • Del mismo autor
  • Métricas
Benthem, Johan van (1991). General Dynamics. Theoretical Linguistics, 17(1-3),159-202. https://doi.org/10.1515/thli.1991.17.1-3.159

Brentano, F. (1874). Psychologie vom empirischen Standpunkt. Leipzig: Duncke & Humblot.

Clerbout, Nicolas (2013a). Etude sur quelques sémantiques dialogiques. Concepts fondamentaux et éléments de metathéorie. PHD thesis, Lille/Leiden: Universities of Lille 3 and Leiden.

Clerbout, Nicolas (2013b). First-Order Dialogical games and Tableaux. Journal of Philosophical Logic, 43, 785-801. https://doi.org/10.1007/s10992-013-9289-z

Clerbout, Nicolas; Gorisse, Marie-Hélène; Rahman, Shahid (2011). Context-sensitivity in Jain Philosophy. A dialogical study of Siddharsigani's Commentary on the Handbook of Logic. Journal of Philosophical Logic, 40(5), 633-662. https://doi.org/10.1007/s10992-010-9164-0

Dummett, Michael (1977). Elements of Intuitionism. Oxford: Oxford University Press.

Felscher, W. (1994). Review of Jean E. Rubin's Mathematical logic: applications and theory. The Journal of Symbolic Logic, 59, 670-671. https://doi.org/10.2307/2275418

Fiutek, V., Rückert, H., Rahman, S. (2010). A Dialogical Semantics for Bonanno's System of Belief Revision. In P. Bour et al (eds.), Constructions (pp. 315-334). London: College Publications. https://doi.org/10.1144/SP334.13

Fontaine, M. (2013). Argumentation et engagement ontologique de l'acte intentionnel. Pour une réflexion critique sur l'identité dans les logiques intentionnelles explicites. PHD thesis, Lille: University of Lille 3.

Fontaine, Matthieu, Redmond, Juan (2012). To Be is To Be Chosen - A Dialogical Understanding of Ontological Commitment. In C. Barés Gomez, S. Magniez and F. Salguero (eds.), Logic of Knowledge. Theory and Applications. Serie Dialogues (pp. 203-222). London: College Publications.

Hintikka, Jaakko (1966). On the Logic of Existence and Necessity I: Existence. The Monist, 50, 55-76. https://doi.org/10.5840/monist19665015

Hume, David (2000). A Treatise of Human Nature. Edited by David Fate Norton and Mary J. Norton. Oxford: Oxford University Press.

Ja?kowski, S. (1934). On the rules of supposition in formal logic. Studia Logica, 1, 5-32.

Kant, Immanuel, (1781/1789). Kritik der reinen Vernunft. (ed. Wilhelm Weischedel), Darmstadt: Wissenschaftliche Buchgesellschaft.

Keiff, L. (2009). Dialogical Logic. Available at Sanford Encyclopedia of Philosophy, online (accessed 2013).

Keiff, Laurent (2012). Dialogical Logic. The Stanford Encyclopedia of Philosophy (Summer 2011 Edition), Edward N. Zalta (ed.). https://plato.stanford.edu/archives/sum2011/entries/logic-dialogical/

Lambert, Karel (2003). Free Logic: Selected Essays. Cambridge & New York: Cambridge University Press.

Leonard, Henri S. (1956). The logic of existence. Philosophical Studies, VII(4), 49-64. https://doi.org/10.1007/BF02221764

Lorenzen, Paul and Lorenz, Kuno (1978). Dialogische Logik. Darmstadt: Wissenschaftliche Buchgesellschaft.

Lorenzen, Paul (1960). Logik und Agon. In Atti del XII Congresso Internationale de Filosofia (Venezia): Logica, linguaggio e comunicazione Volume 4 (pp. 187-194). https://doi.org/10.5840/wcp1219604110

MacColl, Hugh. (1906). Symbolic Logic and its Applications. London/New York/Bombay: Longmans, Green & Co.

Magnier, S. (2013). Approche dialogique de la dynamique épistémique et de la condition juridique. London: College Publications.

Martin-Löf, Per (1996). On the Meanings of the Logical Constants and the Justifications of the Logical Laws. Nordic Journal of Philosophical Logic, 1(1), 11-60.

Meinong, Alexius (1904). Über Gegenstandstheorie. In A. Meinong (1971), Abhandlungen zur Erkenntnistheorie und Gegenstandstheorie, II, (R. Haller ed.; pp. 481-535). Graz: Akademische Druck- u. Verlagsanstalt.

Popek, A. (2012). Logical dialogues from Middle Ages. In C. Barés et al (eds.), Logic of Knowledge. Theory and Applications (pp. 223-244). London: College Publications.

Priest, Graham (2005). Towards Non-Being. The logic and Metaphysics of Intentionality. Oxford: Clarendon Press. https://doi.org/10.1093/0199262543.001.0001

Rahman, S., Fishmann, M., Rückert, H. (1997). On Dialogues and Ontology. The Dialogical Approach to Free Logic. Logique et Analyse, 40(160), 357-374.

Rahman, Shahid & Redmond, Juan (2016). Armonía Dialógica: "tonk", Teoría Constructiva de Tipos y Reglas para Jugadores Anónimos. THEORIA, 31(1), 27-53. https://doi.org/10.1387/theoria.13949

Rahman, Shahid and Keiff, Laurent (2005). On How to be a Dialogician. In D. Vanderveken (ed.), Logic, Thought and Action (pp. 359-4089). Dordrecht: Kluwer. https://doi.org/10.1007/1-4020-3167-X_17

Rahman, Shahid and Keiff, Laurent (2010). La Dialectique entre logique et rhétorique. Revue de Métaphysique et de Morale, 66(2), 149-178. https://doi.org/10.3917/rmm.102.0149

Rahman, Shahid (1993). Über Dialogue, Protologische Kategorien und andere Seltenheiten. Frankfurt/Paris/New York: P. Lang.

Rahman, Shahid; McConaughey, Zoe; Klev, Ansten and Clerbout, Nicolas (2018). Immanent Reasoning or Equality in Action. A Plaidoyer for the Play Level. Series Logic, Argumentation & Reasoning, vol. 18. Cham: Springer. https://doi.org/10.1007/978-3-319-91149-6

Redmond, Juan and Fontaine, Matthieu (2011). How to Play Dialogues: An Introduction to Dialogical Logic. London: College Publications.

Redmond, Juan (2010). Logique dynamique de la fiction. Pour une approche dialogique. London: College Publications.

Stepanians, Markus (2007). Gottlob Frege. Una introducción. (trad. Juan Redmond). In Cuadernos de Lógica, Epistemología y Lenguaje, vol. 1. London: College Publications.

Tarski, Alfred (1983). Logic, Semantics, Metamathematics. Indianapolis: Hackett.

Thomasson, Amie L. (1999). Fiction and Metaphysics. Cambridge: Cambridge University Press.

Woods, John (1974). The Logic of Fiction. A Philosophical Sounding of Deviant Logic. La Haye: Mouton.

Zalta, Edward (1983). Abstract Objects. The Netherlands: Reidel. https://doi.org/10.1007/978-94-009-6980-3

Zalta, Edward (2003). Referring to Fictional Characters. Dialectica, 57, 243-54. https://doi.org/10.1111/j.1746-8361.2003.tb00269.x
Redmond, J. (2020). Quantifiers and Ontological Fluctuations: A Dialogical and Dynamical Point of View of Existence. ArtefaCToS. Revista De Estudios Sobre La Ciencia Y La tecnología, 9(2), 51–77. https://doi.org/10.14201/art2020925177


Download data is not yet available.

Author Biography

Juan Redmond

Universidad de Valparaíso
Profesor Titular Jornada Completa del Instituto de Filosofía, Universidad de Valparaíso. Investigador Responsable Conicyt: Proyecto Fondecyt Regular 2014 N° 1141260 (2014-2016); Miembro del Comité Académico del Doctorado en Estudios Interdisciplinarios (Universidad de Valparaíso); Miembro del Núcleo de Investigación Arte y Nuevos Medios (Universidad de Valparaíso); Director (junto a Shahid Rahman) de la serie Cuadernos de Lógica, Epistemología y Lenguaje, Editorial College Publications, desde 2006 (Dov Gabbay, King’s College, UK) http://www.collegepublications.co.uk; Director de la Serie Selección de Textos, Instituto de Filosofía, Universidad de Valparaíso; Director (junto a Adolfo Vera) de la Revista de Humanidades de Valparaíso, Ed. del Instituto de Filosofía de la Universidad de Valparaíso, ISSN 0719-424.