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Title: Truth ratios of syllogistic moods
Authors: Zarechnev, Mikhail
Kumova, Bora İsmail
Keywords: Categorical syllogisms
Syllogistic system
Syllogistic reasoning
Issue Date: 2015
Publisher: Institute of Electrical and Electronics Engineers
Series/Report no.: IEEE International Fuzzy Systems Conference Proceedings
Abstract: The syllogistic system consists of 256 moods, of which only 24 have been recognized as true. From a set-theoretical point of view, a mood can be represented with three sets and their possible relationships. Three sets can have up to seven sub-sets or spaces. In an earlier work we have used 41 permutations of the spaces, out of which every mood matches an individual number as true or false cases. The truth ratio of a mood is then calculated, by relating the true and false cases with each other. In this work we revise the previously presented properties of the moods and the syllogistic system, this time by using the maximum possible cover, which consists of 96 distinct space permutations. Our results mostly verify our previous findings, like the additional true mood anasoy, the inherently symmetric truth distribution of the moods. Additionally we have revealed some new properties, like the equivalence of some moods, which reduces the system to 136 distinct moods.
Description: IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
ISBN: 978-1-4673-7428-6
ISSN: 1544-5615
Appears in Collections:Computer Engineering / Bilgisayar Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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