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      Using the Membership Table Method (MTM) to Determine the Validity of Categorical Syllogisms

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            Abstract

            Apresentation is provided of a method – the Membership Table Method (MTM) – to determine the validity of categorical syllogisms. This method makes it possible for each syllogism to be assigned a specific set. If this set is equal to the universal set U, then the categorical syllogism considered is valid, and if that set is not equal to U, then that categorical syllogism is not valid. In other words, any categorical syllogism is valid if and only if its respective set, according to the MTM, is equal to the universal set U. The conclusion of a valid categorical syllogism whose premises are true is true.

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            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            13 October 2021
            Affiliations
            [1 ] Universidad Cenfotec, Costa Rica
            [2 ] Universidad Nacional, Costa Rica
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PPIG4XQ.v1
            bf78ee5f-7690-43d0-a6e1-a638fb3026ac

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .


            All data generated or analysed during this study are included in this published article (and its supplementary information files).
            Artificial intelligence,Logic & Set theory
            propositional calculus,set theory,categorical syllogisms,truth tables,membership tables,membership table method

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