A Relational Semantics for Ockham’s Modalities-Reference-Cited by-同舟云学术

A Relational Semantics for Ockham’s Modalities

Published:2023-04-30 Issue:5 Volume:12 Page:445
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Falessi Davide¹^ORCID,Schang Fabien²³^ORCID

Affiliation:

1. École Pratique des Hautes Études-PSL, University of Lucerne, 6002 Lucerne, Switzerland

2. Lycée Fabert, 57000 Metz, France

3. Lycée Jean Zay, 54800 Jarny, France

Abstract

This article aims at providing some extension of the modal square of opposition in the light of Ockham’s account of modal operators. Moreover, we set forth some significant remarks on the de re–de dicto distinction and on the modal operator of contingency by means of a set-theoretic algebra called numbering semantics. This generalization starting from Ockham’s account of modalities will allow us to take into consideration whether Ockham’s account holds water or not, and in which case it should be changed.

Funder

Swiss National Science Foundation

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/5/445/pdf

Reference21 articles.

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2. Bueno, O., and Shalkowski, S. (2021). The Routledge Handbook of Modality, Routledge.

3. Karger, E. (1976). A Study of William of Ockham’s Modal Logic. [Ph.D. Thesis, University of California].

4. Normore, C.G. (1975). The Logic of Time and Modality in the Later Middle Ages: The Contribution of William of Ockham. [Ph.D. Thesis, University of Toronto].

5. Boehner, P., Gal, G., and Brown, S. (1974). Summa Logicae (Opera Philosophica et Theologica), St Bonaventure Institute. The Translation of Part II of the Summa logicae is provided by: Freddoso, A.J.; Schuurman, H. Ockham’s Theory of Propositions. Part II of the Summa Logicae; St. Augustine’s Press: South Bend, IN, USA, 1980.