Syllogistic Reasoning in Seven Spaces
نویسندگان
چکیده
Syllogisms and syllogistic reasoning has been the subject of research and scientific discourse for more than two millennia. Syllogisms sum quantified assertions into an overall statement, usually consisting of two premises and one conclusion. While syllogistic reasoning can be modeled by classical first-order logic in a straightforward manner, it is an open question which of the possible syllogisms are accepted as valid by human reasoners. In this paper, we present an approach that models the reasoning process with seven spaces of a set diagram. It can easily be implemented by constraint logic programming. We distinguish several assumptions that humans may make during their reasoning process, in particular that all used categories are non-empty. In contrast to pure logic-based approaches, the proposed procedure allows to represent diverse models human reasoners may follow. The results show good correlation and coincidence with psychological investigations.
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