‎On the Inferential Zigzag and Its Activation Towards Clarifying What It Is Commonsense Reasoning

Subject Areas : Transactions on Fuzzy Sets and Systems

Marco Elio Tabacchi ¹ ( Dipartimento di Matematica e Informatica, Assistant Professor of Computational Logic, Universit degli Studi di Palermo, Italy and Istituto Nazionale di Ricerche Demopolis, Italy. )
Settimo Termini ² ( Dipartimento di Matematica e Informatica, Universit degli Studi di Palermo, Italy and Accademia Nazionale di Scienze Lettere e Arti di Palermo, Italy )
Enric Trillas ³ ( Department of Mathematics, Universidad de Oviedo, Oviedo, Spain and Accademia Nazionale di Scienze Lettere e Arti di Palermo, Italy. )

Received: 2023-03-16 Accepted : 2023-05-21 Published : 2023-11-07

Keywords: Commonsense reasoning‎, ‎Language at work‎, ‎Inferential zigzag‎, ‎'Out of logic'‎,

Abstract :

This paper has a twofold goal: The first is to study how the inferential zigzag can be activated, even computationally, trying to analyse what kind of reasoning consists of, where its ’mechanism’ is rooted, how it can be activated since without all this it can just seem a metaphysical idea. The second, not so deeply different - as it can be presumed at a first view - but complementary, is to explore the subject’s link with the old thought on conjectures of the 15th Century Theologist and Philosopher Nicolaus Cusanus who was the first thinker consciously and extensively using conjectures.

References:

[1] R. Agrawal, H. Mannila, R. Srikant, H. Toivonen and A. I. Verkamo, et. al, Fast discovery of association rules, Advances in knowledge discovery and data mining, 12(1) (1996), 307-328.
[2] R. J. Bayardo Jr, Efficiently mining long patterns from databases, In Proceedings of the 1998 ACM SIGMOD international conference on Management of data, Seattle, Washington, USA, (1998), 8593.
[3] N. Cusanus, De Coniecturis/Las conjeturas (Bilingual Edition, Latin/ Spanish, translated by C. Sevillano, Las Buenas Letras, (2011).
[4] N. Cusanus, Le congetture, In Opere Filosofiche, Teologiche e Matematiche, Bompiani, Milano, (2017).
[5] C. L. Miller, The art of conjecture: Nicholas of Cusa on knowledge, CUA Press, Washington D. C., (2021).
[6] N. Sato, Cusanus epistemology in idiota de mente, In Nicholas of Cusa, Routledge, (2013).
[7] M. E. Tabacchi, Logics for Cognitive Sciences: how questions arising from Cognitive Sciences could benefit from a logic approach, Archives for Soft Computing, 1 (2019).
[8] M. E. Tabacchi, Focusing Fuzzy Logic, UniPa Press, (2021).
[9] M. E. Tabacchi, The inevitability of vagueness in fuzzy logic, In proceedings of EuSFLaT 2023 (submitted), (2023).
[10] M. E. Tabacchi and S. Termini, Varieties of vagueness, fuzziness and a few foundational (and ontological) questions, In proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology, July 18-22, 2011 Aix les Bains, France, (2011), 578-583.
[11] M. E. Tabacchi and S. Termini, The fuzzy logic gambit as a paradigm of Lotfis proposals, In Fuzzy Logic and Applications: 12th International Workshop, WILF 2018, Genoa, Italy, September 67, 2018, Revised Selected Papers, (2019), 231-235.
[12] S. Termini, Aspects of vagueness and some epistemological problems related to their formalization, In Aspects of Vagueness, Springer (1984), 205-230.
[13] S. Termini, On some vagaries of vagueness and information, Annals of Mathematics and Artificial Intelligence, 35 (2002), 343-355.
[14] E. Trillas, La génesis de la Lógica: reflexiones ingenuas, Universidad de Santiago de Compostela, (2021).
[15] E. Trillas, On the Unity of Opposites, as a way to attain Hypotheses, In Atti dellAccademia Nazionale di Scienze, Lettere e Arti di Palermo, (2020).
[16] E. Trillas, Divagaciones sobre pensar y razonar, Universidad de Granada, (2021).
[17] E. Trillas and A. R. De Soto, On the search of speculations, New Mathematics and Natural Computation, 18 (2022), 9-18.
[18] E. Trillas and I. Garcıa-Honrado, A reflection on the dialectic synthesis, New Mathematics and Natural Computation, 15 (2019), 31-46.
[19] E. Trillas, S. Termini and M. E. Tabacchi, Reasoning and Language at Work: A Critical Essay, Springer Nature, (2022).

[20] K. Yamaki, Nicholas of Cusa: a medieval thinker for the modern age, Routledge, (2013).