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Logic and Logical Philosophy

Relating Logics Meet Scientific Understanding: On Clustering and the Methodology of Logical Classification
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Relating Logics Meet Scientific Understanding: On Clustering and the Methodology of Logical Classification

Authors

  • Maria del Rosario Martinez-Ordaz Instituto de Investigaciones Filosóficas, Universidad Nacional Autónoma de México, México City https://orcid.org/0000-0003-2118-3515

DOI:

https://doi.org/10.12775/LLP.2026.006

Keywords

relating logics, clustering, scientific understanding

Abstract

Here I discuss the legitimacy of the cluster of logics that are considered to be relating logics. I argue that even if the cluster ⌜Relating logics⌝ satisfies the basic theoretical criteria for legitimate clusters, logicians and philosophers of logic have failed at providing the corresponding pragmatic backing. In response to this, I propose to provide the pragmatic justification of the cluster by showing a domain of application for which ⌜Relating logics⌝ fit more adequately the evidence than any of their rivals do; such a domain is the phenomenon of scientific understanding. Finally, I argue that the characterization of scientific understanding as a relating phenomenon provides a description of it that is more accurate than the ones offered by rival views.

References

[1] Diderik Batens, “Dynamic dialectical logics”, pages 187–217 in Graham Priest, Richard Routley, and Jean Norman, editors, Paraconsistent Logic. Essays on the Inconsistent, Philosophia Verlag, München, Hamden, Wien, 1989.

[2] Diderik Batens, “Inconsistency-adaptive logics and the foundation of non-monotonic logics” Logique et Analyse, 7(14): 57–94, 1994.

[3] J. C. Beall and Greg Restall, Logical Pluralism, Oxford University Press, Oxford, 2006. DOI: CrossRef

[4] Ricki Bliss and Kelly Trogdon, “Metaphysical grounding”, in Edward N. Zalta and Uri Nodelman, editors, The Stanford Encyclopedia of Philosophy, Metaphysics Research Lab, Stanford University, Winter 2021 edition, 2021. Accessed: 2025-11-17. Link

[5] Bryson Brown, “Paraconsistency, pluralistic models and reasoning in climate science”, HUMANA. MENTE Journal of Philosophical Studies, 10(32): 179–194, 2017. Link

[6] Walter A. Carnielli and João Marcos, “A taxonomy of c-systems”, pages 1–94 in Paraconsistency, CRC Press, 2002. DOI: CrossRef

[7] Henk W. De Regt, “The epistemic value of understanding”, Philosophy of Science, 76(5): 585–597, 2009. DOI: CrossRef

[8] Henk W. De Regt, “Scientific understanding: truth or dare?”, Synthese, 192(12): 3781–3797, 2015. DOI: CrossRef

[9] W de Regt Henk and Victor Gijsbers, “How false theories can yield genuine understanding”, pages 50–75 in Explaining understanding, Routledge, 2016. DOI: CrossRef

[10] Catherine Elgin, “Understanding and the facts”, Philosophical studies, 132(1): 33–42, 2007. DOI: CrossRef

[11] Catherine Z. Elgin, “True enough”, Philosophical Issues, 14(1): 113–131, 2004. DOI: CrossRef

[12] Catherine Z. Elgin, “Exemplification in understanding”, pages 76–91 in Stephen R. Grimm, Christoph Baumberger, and Sabine Ammon, editors, Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science, Routledge, 2017.

[13] Mohamed Elsamahi, “Coherence between theories”, Canadian Journal of Philosophy, 35(2): 331–352, 2005. DOI: CrossRef

[14] Richard L. Epstein, “Relatedness and implication”, Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, 36(2): 137–173, 1979. DOI: CrossRef

[15] Richard L. Epstein, The Semantic Foundations of Logic. Volume 1: Propositional Logics, Springer Science & Business Media, 2013. DOI: CrossRef

[16] Luis Estrada-González and María del Rosario Martínez-Ordaz, “The possibility and fruitfulness of a debate on the principle of non-contradiction”, pages 33–51 in Walter Carnielli and Jacek Malinowski, editors, Contradictions, from Consistency to Inconsistency, Springer, 2018. DOI: CrossRef

[17] Kit Fine, “Models for entailment”, Journal of Philosophical Logic, 3: 347–372, 1974. DOI: CrossRef

[18] Stephen R. Grimm, “Is understanding a species of knowledge?”, The British Journal for the Philosophy of Science, 57(3): 515–535, 2006. DOI: CrossRef

[19] Stephen R. Grimm, “Understanding as knowledge of causes”, pages 329–345 in Virtue Epistemology Naturalized: Bridges Btween Virtue Epistemology and Philosophy of Science, Springer, 2014. DOI: CrossRef

[20] Christian Hennig, “What are the true clusters?”, Pattern Recognition Letters, 64: 53–62, 2015. DOI: CrossRef

[21] Ole Thomassen Hjortland, “Anti-exceptionalism about logic”, Philosophical Studies, 174(3): 631–658, 2017. DOI: CrossRef

[22] Tomasz Jarmużek, “Relating semantics as fine-grained semantics for intensional logics”, pages 13–30 in Logic in High Definition: Trends in Logical Semantics, Springer, 2020. DOI: CrossRef

[23] Tomasz Jarmużek and Bartosz Kaczkowski, “On some logic with a relation imposed on formulae: Tableau system F”, Bulletin of the Section of Logic, 43(1/2): 53–72, 2014.

[24] Tomasz Jarmużek and Mateusz Klonowski, “Tableaux for logics of content relationship and set-assignment semantics”, Logica Universalis, 16(1):195–219, 2022. DOI: CrossRef

[25] Tomasz Jarmużek and Francesco Paoli, “Relating logic and relating semantics. History, philosophical applications and some of technical problems. Logic and Logical Philosophy, 30(4): 563–577, 2021. DOI: CrossRef

[26] Stanisław Jaśkowski, “A propositional calculus for inconsistent deductive systems” Studia Logica, 24(1): 143–157, 1969. DOI: CrossRef

[27] Christoph Kelp, “Knowledge, understanding and virtue”, pages 347–360 in Virtue Epistemology Naturalized: Bridges Between Virtue Epistemology and Philosophy of Science, Springer, 2014. DOI: CrossRef

[28] Kareem Khalifa, “Is understanding explanatory or objectual?”, Synthese, 190(6): 1153–1171, 2013. DOI: CrossRef

[29] Mateusz Klonowski, “History of relating logic. The origin and research directions”, Logic and Logical Philosophy, 30(4): 579–629, 2021. DOI: CrossRef

[30] Jonathan L. Kvanvig, The Value of Knowledge and the Pursuit of Understanding, Cambridge University Press, 2003. DOI: CrossRef

[31] Larry Laudan, Progress and its Problems: Towards a Theory of Scientific Growth, University of California Press, 1978. DOI: CrossRef

[32] Insa Lawler, “Reductionism about understanding why”, pages 229–236 in Proceedings of the Aristotelian Society, Oxford University Press, 2016. DOI: CrossRef

[33] Insa Lawler, “Understanding why, knowing why, and cognitive achievements”, Synthese, 196(11): 4583–4603, 2019. DOI: CrossRef

[34] Insa Lawler, “Scientific understanding and felicitous legitimate falsehoods”, Synthese, 198(7): 6859–6887, 2021. DOI: CrossRef

[35] Soazig Le Bihan, “Enlightening falsehoods: A modal view of scientific understanding”, pages 111–136 in Explaining understanding, Routledge, 2016. DOI: CrossRef

[36] João Marcos, “Logics of formal inconsistency”, PhD thesis, Universidade Estadual de Campinas (UNICAMP), Instituto Superior Técnico, Lisboa, 2005. DOI: CrossRef

[37] Joke Meheus, “How to reason sensibly yet naturally from inconsistencies’, pages 151–164 in Inconsistency in science, Springer, 2002. DOI: CrossRef

[38] Kevin Morris, “A defense of lucky understanding”, The British Journal for the Philosophy of Science, 63(2); 357–371, 2012. DOI: CrossRef

[39] Timothy O’Connor, “Emergent properties”, American Philosophical Quarterly, 31(2): 91–104, 1994. Link

[40] Graham Priest, “What is so bad about contradictions?”, The Journal of Philosophy, 95(8): 410–426, 1998. DOI: CrossRef

[41] Graham Priest, Koji Tanaka, and Zach Weber, “Paraconsistent logic”, in Edward N. Zalta and Uri Nodelman, editors, The Stanford Encyclopedia of Philosophy, Metaphysics Research Lab, Stanford University, spring 2025 edition, 2025. Link

[42] Nicholas Rescher and Ruth Manor, “On inference from inconsistent premisses”, Theory and Decision, 1(2): 179–217, 1970. DOI: CrossRef

[43] Richard Routley and Robert K. Meyer, “The semantics of entailment”, in Hugues Leblanc, editor, Truth, Syntax and Modality. Proceedings of the Temple University Conference on Alternative SemantLcs, North-Holland, Amsterdam, 1973. DOI: CrossRef

[44] Richard Routley and Valerie Routley, “The semantics of first degree entailment”, Noûs, 6(4): 335–359, 1972. DOI: CrossRef

[45] Paulina Sliwa, ‘IV—understanding and knowing”, pages 57–74 in Proceedings of the Aristotelian Society, volume 115, Oxford University Press Oxford, UK, 2015. DOI: CrossRef

[46] Michael Strevens, “No understanding without explanation”, Studies in History and Philosophy of Science Part A, 44(3): 510–515, 2013. DOI: CrossRef

[47] Michael Strevens, “How idealizations provide understanding”, pages 37–49 in Explaining Understanding, Routledge, 2016. DOI: CrossRef

[48] Diego Tajer, “Anti-exceptionalism and methodological pluralism in logic”, Synthese, 200(3): 195, 2022. DOI: CrossRef

[49] Michalis Vazirgiannis, “Clustering validity”, pages 388–393 in Encyclopedia of Database Systems, Springer, 2009. DOI: CrossRef

[50] Timothy Williamson and Bradley Armour-Garb, “Semantic paradoxes and abductive methodology”, Reflections on the Liar, pages 325–346, 2017. DOI: CrossRef

[51] Petri K. Ylikoski, “The illusion of depth of understanding in science”, pages 100–119 in Henk W. De Regt, Sabina Leonelli, and Kai Eigner, editors, Scientific understanding: Philosophical perspectives, University of Pittsburgh Press, 2009.

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Published

2026-03-02

How to Cite

1.
MARTINEZ-ORDAZ, Maria del Rosario. Relating Logics Meet Scientific Understanding: On Clustering and the Methodology of Logical Classification. Logic and Logical Philosophy. Online. 2 March 2026. pp. 1-30. [Accessed 26 March 2026]. DOI 10.12775/LLP.2026.006.
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