The Deductibility of Categorical Syllogisms Based on the Syllogism EIO-3 from the Perspective of Dialectics

Volume 8, Issue 5, October 2024     |     PP. 194-201      |     PDF (235 K)    |     Pub. Date: October 21, 2024
DOI: 10.54647/isss120367    19 Downloads     882 Views  

Author(s)

Yijiang Hao, Institute of Philosophy, Chinese Academy of Social Sciences, Beijing, China

Abstract
This paper firstly formalizes categorical syllogisms with the help of set theory, and then conducts specific formal reasoning for them by taking advantage of generalized quantifier theory and first-order logic, and derives the remaining 23 valid syllogisms from mere EIO-3 as a basic axiom. The deductibility between different syllogisms and the non-uniqueness of their deductive sequences again exemplify and highlight the dialectical materialist worldview that ‘things are universally connected’. This knowledge reasoning pattern is not only beneficial for the in-depth development of other types of syllogistic, but also for knowledge mining in computer science.

Keywords
Categorical Syllogisms, Deductibility, Categorical Syllogisms, Knowledge Reasoning

Cite this paper
Yijiang Hao, The Deductibility of Categorical Syllogisms Based on the Syllogism EIO-3 from the Perspective of Dialectics , SCIREA Journal of Information Science and Systems Science. Volume 8, Issue 5, October 2024 | PP. 194-201. 10.54647/isss120367

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