After referring several times to Commonsense or Ordinary Reasoning, let’s devote a few pages to present a (minimal) mathematical model of it that can be seen as the ‘Skeleton’ of Reasoning, since it is defined by a set of few, simple laws appearing in the models of particular and specialized modes of reasoning like, for instance: Boolean Algebras for the reasoning with precise concepts; Orto-modular lattices for the reasoning with the concepts of Quantum Physics; and also in the so called Algebras of Fuzzy Sets for the reasoning with imprecise concepts, and among them De Morgan-Kleene algebras. All these models have interesting applications.

Trillas E., Termini S., Tabacchi M.E. (2022). A Formal Skeleton of Commonsense Reasoning. In Studies in Computational Intelligence (pp. 17-29). Springer Science and Business Media Deutschland GmbH [10.1007/978-3-030-86088-2_3].

A Formal Skeleton of Commonsense Reasoning

Termini S.;Tabacchi M. E.
2022-01-01

Abstract

After referring several times to Commonsense or Ordinary Reasoning, let’s devote a few pages to present a (minimal) mathematical model of it that can be seen as the ‘Skeleton’ of Reasoning, since it is defined by a set of few, simple laws appearing in the models of particular and specialized modes of reasoning like, for instance: Boolean Algebras for the reasoning with precise concepts; Orto-modular lattices for the reasoning with the concepts of Quantum Physics; and also in the so called Algebras of Fuzzy Sets for the reasoning with imprecise concepts, and among them De Morgan-Kleene algebras. All these models have interesting applications.
2022
Trillas E., Termini S., Tabacchi M.E. (2022). A Formal Skeleton of Commonsense Reasoning. In Studies in Computational Intelligence (pp. 17-29). Springer Science and Business Media Deutschland GmbH [10.1007/978-3-030-86088-2_3].
File in questo prodotto:
File Dimensione Formato  
978-3-030-86088-2_3.pdf

Solo gestori archvio

Tipologia: Versione Editoriale
Dimensione 168.73 kB
Formato Adobe PDF
168.73 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/593636
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact