In the semantics of natural language, quantification may have received more attention than any other subject, and one of the main topics in psychological studies on deductive reasoning is syllogistic inference, which is just a restricted form of reasoning with quantifiers. But thus far the semantical and psychological enterprises have remained disconnected. This paper aims to show how our under...

The present study investigates the question of whether and how Euler diagrams can improve syllogistic reasoning. Previous research reports that there is no evidence to show the psychological advantage of Euler diagrams in solving syllogisms. In our experiments, we use Euler diagrams with “named points”, which are formulated within the simple Euler system introduced in our previous work. The dia...

In order to provide a consistent explanation for Aristotelian modal syllogistic, this paper reveals the reductions between syllogism ◇I□A◇I-3 and other valid syllogisms. Specifically, on basis of formalizing syllogisms, proves validity by means truth value definition (modal) categorical propositions. Then in line with classical propositional logic logic, generalized quantifier theory set theory...

Abstract Dieter Henrich’s “Notion of a Deduction” (1989) opened up approaches to both Deductions in terms legal as opposed syllogistic reasoning. Since the KrV is shot through with juridical metaphors and analogies, many points connection suggest themselves. In this paper, I extend modify approach, order extract particular logic evidence. argue that three syntheses A-Deduction correspond parts ...

The Aristotelian syllogistic cannot account for the validity of certain inferences involving relational facts. In this paper, we investigate the prospects for providing a relational syllogistic. We identify several fragments based on (a) whether negation is permitted on all nouns, including those in the subject of a sentence; and (b) whether the subject noun phrase may contain a relative clause...

Robust biases have been found in syllogistic reasoning that relate to the figure of premises and to the directionality of terms in given conclusions. Mental models theorists (e.g., Johnson-Laird & Byrne, 1991) have explained figural bias by assuming that reasoners can more readily form integrated models of premises when their middle terms are contiguous than when they are not. Biases associated...