NDLI: The Logic of the Ontological Square

Content Provider	Springer Nature Link
Author	Schneider, Luc
Copyright Year	2009
Abstract	The Ontological Square is a categorial scheme that combines two metaphysical distinctions: that between types (or universals) and tokens (or particulars) on the one hand, and that between characters (or features) and their substrates (or bearers) on the other hand. The resulting four-fold classification of things comprises particular substrates, called substances, universal substrates, called kinds, particular characters, called modes or moments, and universal characters, called attributes. Things are joined together in facts by primitive ontological ties or nexus. This article describes a logic that is meant to capture the basic intuitions behind the Ontological Square. Given a minimal correspondence between atomic logical form and ontological structure, the commitment to nexus as a distinct ontological category entails a rehabilitation of copulae as ties of predication. Thus, the Logic of the Ontological Square is a copula calculus rather than a predicate calculus; its soundness and completeness can be established with respect to a model akin to a so-called first-order semantics for standard second-order logic.
Starting Page	25
Ending Page	51
Page Count	27
File Format	PDF
ISSN	00393215
Journal	Studia Logica
Volume Number	91
Issue Number	1
e-ISSN	15728730
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-01-20
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Universals particulars substances modes formal ontology predication copula Computational Linguistics Mathematical Logic and Foundations Logic
Content Type	Text
Resource Type	Article
Subject	Logic History and Philosophy of Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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