Universe of Discourse and Existence
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Title: | Universe of Discourse and Existence |
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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 - SYC - Artículos de Revistas INV - Acústica Aplicada - Artículos de Revistas |
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