Journal of Applied Logics 8 (2):557-577 (2021)
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| Abstract |
Extensions of traditional syllogistics have been increasingly researched in philosophy, linguistics, and areas such as artificial intelligence and computer science in recent decades. This is mainly due to the fact that syllogistics is seen as a logic that comes very close to natural language abilities. Various forms of extended syllogistics have become established. This paper deals with the question to what extent a syllogistic representation in CL diagrams can be seen as a form of extended syllogistics. It will be shown that the ontology of CL enables numerically exact assertions and inferences.
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| Keywords | Diagrammatic Reasoning Extended Syllogistics Ontology Natural Logic Generalized Quantifiers |
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References found in this work BETA
Generalized Quantifiers in Linguistics and Logic.D. Keenan & D. Westerstahl - 2011 - In Johan Van Benthem & Alice Ter Meulen (eds.), Handbook of Logic and Language. Elsevier. pp. 837--893.
Logics for the Relational Syllogistic.Ian Pratt-Hartmann & Lawrence S. Moss - 2009 - Review of Symbolic Logic 2 (4):647-683.
Euler-type Diagrams and the Quantification of the Predicate.Jens Lemanski - 2020 - Journal of Philosophical Logic 49 (2):401-416.
Calculus CL as a Formal System.Jens Lemanski & Ludger Jansen - 2020 - In Ahti Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science, vol 12169. 2020. 93413 Cham, Deutschland: pp. 445-460.
Oppositional Geometry in the Diagrammatic Calculus CL.Jens Lemanski - 2017 - South American Journal of Logic 3 (2):517-531.
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