Language and Interpretation in Gottfried Leibniz's Notion of Probability
DOI:
https://doi.org/10.31637/epsir-2024-873Keywords:
Leibniz, probability, language, hermeneutics, monad, reality, model, appropriation of meaningAbstract
Introduction: The objective of this study is to examine how probability can be employed to comprehend interpretations and meanings in not only mathematical but also philosophical and linguistic contexts from a Leibnizian perspective. Methodology: The research is developed following a predominantly theoretical and analytical methodology. The study follows a hermeneutic approach that determines conceptions from the interpretative dialectic of reference texts. Results: The degree of essence reports an ontological datum to the subject, which is encapsulated under the precise and controlled status of number. In light of the multifaceted meanings and polysemy of language, it is imperative that the mathematical representation of hermeneutics be comprehensive. This is because the number, as an ontological extract, provides a glimpse into the reality that lies beyond the limits of language. Discussions: Probability not only assists in the mathematical modeling of reality, but also enables the comprehension and prediction of behaviors and outcomes in contexts where absolute certainty is unattainable. Conclusions: The conceptual analysis reflects the intertwining of probability and philosophy, particularly through the figure and work of Leibniz.
Downloads
References
Achermann, E. (2012). Worte und Werte: Geld und Sprache bei Gottfried Wilhelm Leibniz, Johann Georg Hamann und Adam Müller. Max Niemeyer Verlag.
Allhoff, F. (2010). Philosophies of the sciences: A guide. Wiley-Blackwell. https://doi.org/10.1002/9781444315578 DOI: https://doi.org/10.1002/9781444315578
Ambrose, A. (1996). Ludwig Wittgenstein: Philosophy and language. Thoemmes Press.
Anubav, V. (2018). Chance, determinism and the classical theory of probability. Studies in History and Philosophy of Science Part A, 67, 32-43. https://doi.org/10.1016/j.shpsa.2017.11.009 DOI: https://doi.org/10.1016/j.shpsa.2017.11.009
Basterra, G. (2015). The subject of freedom: Kant, Levinas. Fordham University Press. https://doi.org/10.2307/j.ctt14jxrct DOI: https://doi.org/10.5422/fordham/9780823265145.001.0001
Beiderbeck, F., Li, W. y Waldhoff, S. (2020). Gottfried Wilhelm Leibniz: Rezeption, Forschung, Ausblick. Franz Steiner Verlag. DOI: https://doi.org/10.25162/9783515119634
Busche, H. (2008). Gottfried Wilhelm Leibniz: Monadologie. Akademie Verlag. DOI: https://doi.org/10.1524/9783050050126
Buzzetti, D. y Ferriani, M. (1987). Speculative grammar, universal grammar, and philosophical analysis of language. John Benjamins Publishing. DOI: https://doi.org/10.1075/sihols.42
Carr, H. W. (1960). Leibniz. Dover Publications.
Chomsky, N. (2015). Syntactic structures. Martino Fine Books.
Cohen, J. (1989). An introduction to the philosophy of induction and probability. Clarendon Press.
Dascal, M. y Racionero, Q. (2008). Gottfried Wilhelm Leibniz: The art of controversies. Springer Science y Business Media.
De Melo, W. y Cussens, J. (2004). Leibniz on estimating the uncertain: An English translation of De incerti aestimatione with commentary. Leibniz Society Review, 14, 31-41. https://doi.org/10.5840/leibniz20041411 DOI: https://doi.org/10.5840/leibniz20041411
Devore, J. L. (2019). Fundamentos de probabilidad y estadística. Cengage.
Dilthey, W. (2013). Obras III. De Leibniz a Goethe. Fondo de Cultura Económica.
Figal, G. (2011). Hans-Georg Gadamer: Wahrheit und Methode. Akademie Verlag. https://doi.org/10.1524/9783050056982 DOI: https://doi.org/10.1524/9783050056982
Frede, D. (1993). Philebus. Hackett Publishing.
Frege, G. y Voigt, U. (2019). Über Sinn und Bedeutung. Reclam Verlag.
Ghosh, I. (2018). Bayesian methods. En Handbook of Statistics. Elsevier B.V. https://doi.org/10.1016/bs.host.2018.07.001 DOI: https://doi.org/10.1016/bs.host.2018.07.001
Gut, A. (2005). Probability: A graduate course. Springer.
Hacking, I. (1971). The Leibniz-Carnap program for inductive logic. The Journal of Philosophy, 68(19), 597. https://doi.org/10.2307/2025192 DOI: https://doi.org/10.2307/2025192
Haering, T. (1941). Das Deutsche in der deutschen Philosophie.
Hailperin, T. (1988). The development of probability logic from Leibniz to Maccoll. History and Philosophy of Logic, 9(2), 131-191. https://doi.org/10.1080/014453408808837132 DOI: https://doi.org/10.1080/014453408808837132
Heer, F. (1958). Gottfried Wilhelm Leibniz. Fischer.
Heidegger, M. (1962). The ontological priority of the question of being (J. Macquarrie y E. Robinson, Eds.).
Heidegger, M. (1978). Metaphysische Anfangsgründe der Logik im Ausgang von Leibniz. V. Klostermann.
Hodges, J. y Lehmann, E. (2005). Basic concepts of probability and statistics. Society for Industrial and Applied Mathematics. DOI: https://doi.org/10.1137/1.9780898719123
Hofmann, J. E. (1977). Register zu Gottfried Wilhelm Leibniz Mathematische Schriften und Der Briefwechsel mit Mathematikern. Olms.
Keynes, J. M. (2013). A treatise on probability. Cambridge University Press.
Laertius, D., Sopater, Hesychius y Marcovich, M. (1999). Diogenis Laertii vitae philosophorum. Aedibus.
Leibniz, G. (2016). Monadologia. Createspace Independent Publishing Platform.
Leibniz, G. W. (1999). Essais de théodicée - Sur la bonté de Dieu, la liberté de l’homme et l’origine du mal. Flammarion.
Leibniz, G. W. (2012). Discourse on metaphysics and other writings. Broadview Press.
Leibniz, G. W. (2017). Die Theodizee. Hofenberg.
Leibniz, G. W. y Boucher, P. (1998). Doctrina conditionum. Institut Michel Villey.
Leibniz, G. W. y Gerhardt, C. I. (1978). Die philosophischen Schriften. Georg Olms Verlag.
Leibniz, G. W. y Gerhardt, K. I. (1849). Leibnizens mathematische Schriften, herausgegeben von C. I. Gerhardt. H. W. Schmidt.
Leibniz, G. W. y Gerhardt, K. I. (2017). Der Briefwechsel von Gottfried Wilhelm Leibniz mit Mathematikern. Hansebooks.
Leibniz, G. W. y Maury, E. O. (1971). De las palabras. Aguilar.
Leibniz, G. W., Nicolás, J. A. y Bartolomé, M. R. C. (2007). Obras filosóficas y científicas. Albolote.
Leibniz, G. W., Remnant, P. y Bennett, J. (1981). New essays on human understanding. Cambridge University Press.
Leibniz, G. W., Stahl, G. E., Duchesneau, F. y Smith, J. E. H. (2016). The Leibniz-Stahl controversy. [Información faltante sobre la editorial].
Leibniz, G. W., Wiener, P. P. y Von, F. (1951). Leibniz: selections. Charles Scribner’s Sons.
Leibniz, G. W. y Zimmermann, R. (2018). Leibnitz’ Monadologie. Wentworth Press.
Liske, M. T. (2000). Gottfried Wilhelm Leibniz. Beck.
Merz, J. T. y Schaarschmidt, C. (1886). Leibniz. [Información faltante sobre la editorial].
Metzke, E. (1943). Köln: Gutenberg-Druckerei und Verlag. [Información faltante sobre la naturaleza de la obra].
Meyns, C. (2017). Leibniz and probability in the moral domain. En L. Strickland, E. Vynckier y J. Weckend (Eds.), Tercentenary essays on the philosophy and science of Leibniz (pp. 229–253). Springer International Publishing. https://doi.org/10.1007/978-3-319-38830-4 DOI: https://doi.org/10.1007/978-3-319-38830-4_10
Moore, G. E. (1966). Some main problems of philosophy. Collier Books.
Navidi, W. y Monk, B. (2019). Elementary statistics. McGraw-Hill Education.
Nietzsche, F. (2009). Obras Nietzsche I (G. C. Cuenca, Ed.). Gredos.
Olsson, E. J. (2018). Bayesian epistemology. En Introduction to formal philosophy (pp. 431–442). Springer International Publishing. https://doi.org/10.1093/0199269750.001.0001 DOI: https://doi.org/10.1007/978-3-319-77434-3_22
Popper, K. R. (1959). The propensity interpretation of probability. The British Journal for the Philosophy of Science, 10(37), 25-42. https://doi.org/10.1093/bjps/X.37.25 DOI: https://doi.org/10.1093/bjps/X.37.25
Pörksen, U. (2020). Zur Geschichte deutscher Wissenschaftssprachen: Aufsätze, Essays, Vorträge und die Abhandlung Erkenntnis und Sprache in Goethes Naturwissenschaft. Gruyter. DOI: https://doi.org/10.1515/9783110692716
Quintero Núñez, H. B., Holguín Rodríguez, O. y Cuadrado Hernández, E. J. (2023). Hermenéutica improbable. SEDUNAC. DOI: https://doi.org/10.35997/978-958-53658-1_0
Rescher, N. (1992). G.W. Leibniz’s Monadology. Routledge. DOI: https://doi.org/10.2307/j.ctt6wrc4t
Roberto C. G. y Livia B. (2021). Identidad práctica en Aristóteles y Leibniz. Veritas, 50, 51-77. https://www.scielo.cl/pdf/veritas/n50/0718-9273-veritas-50-51.pdf DOI: https://doi.org/10.4067/S0718-92732021000300051
Russell, B. (1937). A critical exposition of the philosophy of Leibniz (2.ª ed.). Taylor & Francis Group. https://doi.org/10.15173/russell.v37i0.3286 DOI: https://doi.org/10.15173/russell.v37i0.3286
Schneider, M., Schepers, H., Beeley, P., Biller, G., Jenschke, S., Kliege-Biller, H. y Lorenz, S. (1999). Gottfried Wilhelm Leibniz: Samtliche Schriften und Briefe, 6. Akademie Verlag.
Serres, M. (1968). Le systeme de Leibniz et ses modeles mathematiques. PUF.
Serres, M. (1983). Hermes: Literature, Science, Philosophy. The Johns Hopkins University Press.
Sheynin, O. (1998). The theory of probability: Its definition and its relation to statistics. Archive for History of Exact Sciences, 52(2), 99-108. https://doi.org/10.1007/s004070050012 DOI: https://doi.org/10.1007/s004070050012
Steele, J. M. (2015). Probability Theory: Formal. En International Encyclopedia of the Social & Behavioral Sciences, 18. Elsevier. https://doi.org/10.1016/B978-0-08-097086-8.42067-2 DOI: https://doi.org/10.1016/B978-0-08-097086-8.42067-2
Tsitsiklis, J. N. y Bertsekas, D. P. (2008). Introduction to Probability. Athena Scientific.
Venn, J. (1876). The logic of chance. Macmillan and Co. https://doi.org/10.1037/14079-000 DOI: https://doi.org/10.1037/14079-000
Wittgenstein, L. (2021). Tractatus Logico-Philosophicus: Centenary edition. Anthem Press. DOI: https://doi.org/10.2307/j.ctv22d4t7n
Zimmer, J. y Holz, H. H. (2013). Leibniz: Das Lebenswerk eines Universalgelehrten. Wissenschaftliche Buchgesellschaft.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Helmer Quintero Núñez, Andrés Álvarez García, Gelver Pérez Pulido

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Non Commercial, No Derivatives Attribution 4.0. International (CC BY-NC-ND 4.0.), that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).