Modal Logic With Non-deterministic Semantics: Part II -- Quantified Case

Marcelo E. Coniglio; Luis Fariñas del Cerro; Newton M. Peron

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arXiv · 2101.02259

Modal Logic With Non-deterministic Semantics: Part II -- Quantified Case

Marcelo E. Coniglio·Luis Fariñas del Cerro·Newton M. Peron

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Abstract

In the first part of this paper we analyzed finite non-deterministic matrix semantics for propositional non-normal modal logics as an alternative to the standard Kripke's possible world semantics. This kind of modal systems characterized by finite non-deterministic matrices was originally proposed by Ju. Ivlev in the 70's. The aim of this second paper is to introduce a formal non-deterministic semantical framework for the quantified versions of some Ivlev-like non-normal modal logics. It will be shown that several well-known controversial issues of quantified modal logics, relative to the identity predicate, Barcan's formulas, and de dicto and de re modalities, can be tackled from a new angle within the present framework.

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BibTeX RIS

Marcelo E. Coniglio, Luis Fariñas del Cerro, Newton M. Peron. 2021-01-06. Modal Logic With Non-deterministic Semantics: Part II -- Quantified Case. https://arxiv.org/abs/2101.02259

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