Applied and Computational Mathematics

Volume 11, Issue 6, December 2022

  • How to Deduce the Remaining 23 Valid Syllogisms from the Validity of the Syllogism EIO-1

    Xiaojun Zhang, Hui Li, Yijiang Hao

    Issue: Volume 11, Issue 6, December 2022
    Pages: 160-164
    Received: Oct. 09, 2022
    Accepted: Nov. 01, 2022
    Published: Nov. 11, 2022
    DOI: 10.11648/j.acm.20221106.11
    Abstract: Syllogistic reasoning plays an important role in human reasoning, and has been widely studied from Aristotle onward. In previous studies, when deriving all the other valid syllogisms, at least two valid syllogisms were taken as the basic axioms. While this paper derives all other valid syllogisms only from one valid syllogism. On the basis of gener... Show More