Knowledge Reasoning Based on the Reducibility of Valid Generalized Syllogisms

Volume 9, Issue 1, February 2024     |     PP. 1-10      |     PDF (247 K)    |     Pub. Date: May 14, 2024
DOI: 10.54647/dee470357    32 Downloads     4247 Views  

Author(s)

Jun Qiu, School of Philosophy, Anhui University, Hefei, China
Mingwei Ma, School of Statistics, Capital University of Economics and Business, Beijing, China

Abstract
This paper firstly proves that the generalized syllogism HMO-3 is valid according to the relevant definitions, facts and rules, and then shows that at least the other 21 valid generalized syllogisms can be deduced from the syllogism HMO-3 with the common generalized quantifiers ‘most’ and ‘at most half of the’. The main conclusion of this paper is that there are reducible relationships between/among valid generalized syllogisms. Since all conclusions are obtained by means of deductive reasoning, therefore the results are consistent. The reason why valid generalized syllogisms can be mutually reduced is that: Aristotelian quantifiers can be mutually defined each other, and so can the four generalized quantifiers studied in this paper. This study provides the theoretical support for knowledge mining in artificial intelligence.

Keywords
generalized syllogisms; validity; knowledge mining; knowledge reasoning

Cite this paper
Jun Qiu, Mingwei Ma, Knowledge Reasoning Based on the Reducibility of Valid Generalized Syllogisms , SCIREA Journal of Electrical Engineering. Volume 9, Issue 1, February 2024 | PP. 1-10. 10.54647/dee470357

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