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Syllogisms with Intermediate Quantifiers Solved in Mario Logic Diagrams

机译：Mario逻辑图中解决的带有中间量词的三段论

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In this article we propose diagrams with the ability to represent syllogisms that, in addition to the traditional quantifiers "all", "some" and "none", can represent the so-called intermediate quantifiers or probabilistic quantifiers "most", "a few", "half, etc. The graphs contained in this paper have been developed based on the Mario diagram, a tool for teaching logical reasoning that operates with propositional models that are constructed by quantifying the predicate in a way similar to Hamilton or Jevons in the 19th century. The quantification of the predicate allows us to represent the possibilities implicit in the premises, so that when the synthesis of the propositions is made later, the working memory can take these possibilities into account. In this way, we prevent our students from committing the persistent fallacies of denying the antecedent and affirming the consequent.
机译：在本文中，我们提出了能够表示三段论的图，这些图除了传统的量词“ all”，“ some”和“ none”之外，还可以代表所谓的中间量词或概率量词“ most”，“几个”本文中包含的图形是基于Mario图开发的，Mario图是一种用于教学逻辑推理的工具，该工具与命题模型一起运行，该命题模型通过以类似于Hamilton或Jevons的方式对谓词进行量化而构建。 19世纪，谓词的量化使我们能够表示前提中所隐含的可能性，因此，当稍后对这些命题进行综合时，工作记忆可以考虑这些可能性。犯下否认先行并肯定其结果的持续谬论。

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