On the Unfinished and Uncertain Paths of Logic

The Case of Non-Monotonic Logics

Authors

  • Jorge Morales Delgado UCR Author

DOI:

https://doi.org/10.15517/revfil.2025.65009

Keywords:

Kant, Logic, Reasoning, no-monotonicity, defeasibility

Abstract

In the prologue of the second edition of the Critique of Pure Reason, Immanuel Kant offers a vision of logic as a science completely finished. Nevertheless, further advances have proven this Kantian idea wrong. The current work offers a discussion of non-monotonic logics and some of the philosophical presuppositions as an example of a formal system of very recent development with an interdisciplinary background that allows us to understand a particular class of inferences of human reasoning. In this sense, non-monotonic logics are a paradigmatic case which shows how distant is logic from being a perfect and finished science.

Downloads

Download data is not yet available.

Author Biography

  • Jorge Morales Delgado, UCR

    Doctor en Filosofía por la Universidad de Victoria en Wellington, Nueva Zelanda, con una especialidad en Lógica y Epistemología. Máster en Ciencias Cognoscitivas de la Universidad de Costa Rica con una disertación sobre la no-monotonía del razonamiento científico. Sus áreas de especialización son lógica, epistemología, filosofía de la lógica y razonamiento. Actualmente es profesor de Filosofía en la Universidad de Costa Rica.

References

Alessio, Claudio A. 2017. «Derrota y defensa en argumentación rebatible». Praxis Filosófica 45, 25 53.

Batens, Diderik. 2009. «The Need for Adaptive Logics in Epistemology». En D. M. Gabbay, S. Rahman, J. Symons, & J. P. van Bendegem (Eds.), Logic, Epistemology, and the Unity of Science (pp. 459–485). Springer Netherlands. https://doi.org/10.1007/978-1-4020-2808-3_22

Braine, Martin D. 1978. «On the relation between the natural logic of reasoning and standard logic». Psychological review 85, (1).

Camacho, Luis. 2006. «La lógica en Kant y en George Boole.» Revista de filosofía de la Universidad de Costa Rica. 44(111-112). 49-56.

Costa, Horacio Arló. 1999. «Epistemic Context, Defeasible Inference and Conversational implicature». International and Interdisciplinary Conference on Modeling and Using Context, 15–27.

Gaines, Brian R. 2010. «Human rationality challenges universal logic.» Logica Universalis 4, 163-205.

Kant, Immanuel. (1997). Crítica de la razón pura. Traducido por Pedro Ribas. Madrid: Alfaguara

Kraus, Sarit, Lehmann, Daniel, & Magidor, Menachem. 1990. «Nonmonotonic Reasoning, Preferential Models and Cumulative Logics». Artificial Intelligence, 44(1–2), 167–207.

Koons, Robert. 2017. «Defeasible reasoning». En E. N. Zalta (Ed.) The Stanford Encyclopedia of Philosophy (Winter 2017 Edition). Metaphysics Research Lab, Stanford University. https://plato.stanford.edu/archives/win2017/entries/reasoning-defeasible/

Lehmann, Daniel, & Magidor, Menachem. 1992. «What does a conditional knowledge base entail?» Artificial Intelligence, 55(1), 1–60.

Meheus, Joke., & Nickles, Thomas. 1999. «The Methodological Study of Creativity and Discovery—Some Background. Foundations of Science». 4(3), 231-235.

Morales, Jorge A. (2023). «La herencia de propiedades como mecanismo inferencial en el contexto del razonamiento no-monótono». Revista Iberoamericana de Argumentación 26: 1-20.

Morales, Jorge A. (2024). «Diverging Approaches to Skeptical Inference in Non-monotonic Reasoning.» Principia: an international journal of epistemology 28, no. 2: 229-246

Nute, Donald. 1988. «Defeasible Reasoning: A Philosophical Analysis in Prolog» En Aspects of Artificial Intelligence (Fetzer, James H., pp. 251–288). Springer.

Nute, Donald. 2003. «Agents, Epistemic Justification, and Defeasibility». Invited Address, 5th Augustus de Morgan workshop.

Lógica formal y argumentación como disciplinas complementarias. Buenos Aires: Universidad Nacional de La Plata, Facultad de Humanidades y Ciencias de la Educación

Pollock, John L. 1995. Cognitive Carpentry: A Blueprint for how to Build a Person. MIT Press.

Pollock, John L. 1987. «Defeasible Reasoning». Cognitive Science, 11(4), 481–518. https://doi.org/10.1207/s15516709cog1104_4

Rankin, Terry L. 1988. «When is Reasoning Nonmonotonic?». En J. H. Fetzer (Ed.), Aspects of Artificial Intelligence (pp. 289–308). Springer Netherlands. https://doi.org/10.1007/978-94-009-2699-8_10

Stenning, Keith, & Michiel Van Lambalgen. 2012. Human reasoning and cognitive science. MIT Press

Strasser, Christian, & Antonelli, G. Aldo. 2018. «Non-monotonic Logic». En E. N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy (Summer 2018). Metaphysics Research Lab, Stanford University. https://plato.stanford.edu/archives/sum2018/entries/logic-nonmonotonic/

Woleński, Jan. 2016. «Logic in the light of cognitive science». Studies in Logic, Grammar and Rhetoric 48 (1), 87-101.

Published

2025-08-14