Diagrammatic method for modal syllogistic

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DOI:

https://doi.org/10.4013/fsu.2025.263.04

Keywords:

Syllogism, modal logic; de dicto, diagrammatic method, Theophrastus, in peiorem.

Abstract

I develop a diagrammatic method for Modal Syllogistic restricted to de dicto modalities in their contemporary interpretation. This method is a conservative extension of a previous diagrammatic method for Assertoric Syllogistic. It uses two types of inference rules: the intralevel inference rules contain the inference rules of the diagrammatic method for Assertoric Syllogistic, while the interlevel inference rules implement Theophrastus’ in peiorem rule.

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Published

2025-11-08

How to Cite

SAUTTER, F. T. Diagrammatic method for modal syllogistic. Filosofia Unisinos / Unisinos Journal of Philosophy, São Leopoldo, v. 26, n. 3, p. 1–13, 2025. DOI: 10.4013/fsu.2025.263.04. Disponível em: https://revistas.unisinos.br/index.php/filosofia/article/view/28305. Acesso em: 17 nov. 2025.

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Articles