Natural Language Information Processing Based on the Valid Traditional Syllogisms EIO-4

Volume 8, Issue 3, June 2024     |     PP. 95-102      |     PDF (209 K)    |     Pub. Date: July 4, 2024
DOI: 10.54647/isss120350    26 Downloads     3774 Views  

Author(s)

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

Abstract
Firstly this paper proves the validity of traditional syllogism EIO-4, and then makes full use of relevant definitions, facts, and some inference rules. On the basis of 34 reasoning steps, the other 23 syllogisms can be inferred from the syllogism EIO-4. This is because Aristotelian quantifiers (that is, all, no, some, and not all) can be mutually defined. Thus, a minimalist formal axiomatic system can easily be constructed for traditional syllogistic logic. This formal research method is not only beneficial for the study of other types of syllogisms, but also for better knowledge mining and thus for better understanding of natural language.

Keywords
reducible relation; traditional syllogism; Aristotelian quantifier; symmetry

Cite this paper
Feifei Yang, Xiaojun Zhang, Natural Language Information Processing Based on the Valid Traditional Syllogisms EIO-4 , SCIREA Journal of Information Science and Systems Science. Volume 8, Issue 3, June 2024 | PP. 95-102. 10.54647/isss120350

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