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A Mathematical Software for Deduction of Categorical Syllogisms
2019 3rd International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT), 2019In this work, we give a software to calculate deductions which are obtained from premises of syllogisms by the help of the SLCD (Syllogistic Logic with Carroll Diagrams) system. Moreover, this software determines whether syllogistic reasoning valid or not based on the calculus system SLCD.
Arif Gursoy +3 more
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Learning valid categorical syllogisms using an associative memory
2015 International Joint Conference on Neural Networks (IJCNN), 2015Reasoning is a high-level cognitive function that is gaining attention in the artificial neural network community. While there are many types of reasoning, this paper is specifically looking at valid categorical syllogisms. First we show that a standard bi-directional associative memory cannot learn all valid categorical syllogisms because these ...
Sylvain Chartier, Melissa Johnson
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TREATISE ON THE FOURTH FIGURE OF THE FIGURES OF THE CATEGORICAL SYLLOGISM
1966exaly +2 more sources
Granular Computing and Aristotle’s Categorical Syllogism
2019This chapter applies granular computing to Aristotle’s categorical syllogism. Such kind of reasoning is called granular reasoning. For the purpose, two operations called zooming in and out are introduced to reconstruct granules of possible worlds.
Seiki Akama, Yasuo Kudo, Tetsuya Murai
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Theories of categorical reasoning and extended syllogisms
Thinking & Reasoning, 2006The aim of this study was to examine the predictions of three theories of human logical reasoning, (a) mental model theory, (b) formal rules theory (e.g., PSYCOP), and (c) the probability heuristics model, regarding the inferences people make for extended categorical syllogisms.
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Complexity of categorical syllogisms: An integration of two metrics
European Journal of Cognitive Psychology, 2009The complexity of categorical syllogisms was assessed using the relational complexity metric, which is based on the number of entities that are related in a single cognitive representation. This was compared with number of mental models in an experiment in which adult participants solved all 64 syllogisms.
Zielinski, Tracey A +2 more
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Non-Logical Solving of Categorical Syllogisms
1990Abstract It is shown that a model based on linguistic (pragmatic and grammatical) principles can account for responses to formal categorical syllogisms. The model gives an explanation of the well-known biases in syllogistic reasoning (in particular the atmosphere effect and the figural effect).
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A CONSTRUCTION OF HEYTING ALGEBRA ON CATEGORICAL SYLLOGISMS
2016…
Şentürk, İbrahim, Öner, Tahsin
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