Abstract
Some valid Categorical Syllogisms in traditional interpretation befall invalid in the modern point of view. Euler Circles and its variants evaluate the validity as per the traditional interpretation whereas Venn Diagrams and its modifications examine the modern point of view. Hence, we fail to find any standard diagrammatic technique, which incorporates both the points of view together. The present paper explores the possibility of developing an alternative diagrammatic technique to test the validity of Categorical Syllogisms. The proposed technique also attempts to test the validity in both the formats.
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References
Kneale, W., Kneale, M.: The Development of Logic. Oxford Clarendon Press, London (1962)
Shin, S.J.: The Logical Status of Diagrams. Cambridge University Press, New York (1994)
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© 2008 Springer-Verlag Berlin Heidelberg
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Sharma, S.S. (2008). Method of Minimal Representation: An Alternative Diagrammatic Technique to Test the Validity of Categorical Syllogisms. In: Stapleton, G., Howse, J., Lee, J. (eds) Diagrammatic Representation and Inference. Diagrams 2008. Lecture Notes in Computer Science(), vol 5223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87730-1_51
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DOI: https://doi.org/10.1007/978-3-540-87730-1_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87729-5
Online ISBN: 978-3-540-87730-1
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