Knowledge Mining Based on the Generalized Modal Syllogism A□MI-1

Volume 9, Issue 2, April 2024     |     PP. 45-55      |     PDF (318 K)    |     Pub. Date: August 31, 2024
DOI: 10.54647/dee470364    36 Downloads     2053 Views  

Author(s)

Feifei Yang, School of Philosophy, Anhui University, Hefei, China
Xiaojun Zhang, School of Philosophy, Anhui University, Hefei, China

Abstract
This paper specifically focuses on the validity of generalized modal syllogism (i.e. A□MI-1) that contains the quantifier ‘most’. By making full use of generalized quantifier theory, modal logic and set theory, this paper derives 24 valid generalized modal syllogisms based on the validity of the syllogism A□MI-1. This method provides a concise mathematical framework that contributes to knowledge mining for generalized modal syllogism fragments.

Keywords
generalized modal syllogisms; validity; modality; reducibility

Cite this paper
Feifei Yang, Xiaojun Zhang, Knowledge Mining Based on the Generalized Modal Syllogism A□MI-1 , SCIREA Journal of Electrical Engineering. Volume 9, Issue 2, April 2024 | PP. 45-55. 10.54647/dee470364

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