Universe of Discourse and Existence

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Title: Universe of Discourse and Existence
Authors: Usó i Domènech, Josep Lluís | Nescolarde-Selva, Josué Antonio | Gash, Hugh
Research Group/s: Sistémica, Cibernética y Optimización (SCO) | Acústica Aplicada
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Belief | Concepts | Effective existence | Formal existence | Meinonguian objects | Nonmonotonic logic | Satisfaction functions | Universe of discourse
Knowledge Area: Matemática Aplicada
Issue Date: 21-Nov-2018
Publisher: MDPI
Citation: Usó-Doménech JL, Nescolarde-Selva JA, Gash H. Universe of Discourse and Existence. Mathematics. 2018; 6(11):272. doi:10.3390/math6110272
Abstract: There is a fairly widespread belief that the problem of existence is not an essential issue for logic. Logic, though formal, must deal with the problem of existence. However, logic should be limited to describing “formal existence” or “existence of a formal system”. However, the logical problem of existence and how to treat and resolve this problem differ completely from the corresponding metaphysical problem. It is possible to deduce that formal existence is nothing other than belonging to the universe of discourse, so proposing a solution to the logical problem of existence in an epistemological, rather than a metaphysical, context. In this paper, we conclude, from a formal point of view, no universe of discourse is given in advance; any universe of discourse that satisfies the necessary conditions can be used. The extended epistemological belief that there is a universe of discourse defined rigorously, which would be the true and should be “the universe of discourse of logic”, cannot be justified.
URI: http://hdl.handle.net/10045/84071
ISSN: 2227-7390
DOI: 10.3390/math6110272
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Peer Review: si
Publisher version: https://doi.org/10.3390/math6110272
Appears in Collections:INV - SCO - Artículos de Revistas
INV - Acústica Aplicada - Artículos de Revistas

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