Cantor Paradoxes, Possible Worlds and Set Theory
Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/10045/94469
| Título: | Cantor Paradoxes, Possible Worlds and Set Theory |
|---|---|
| Autor/es: | Usó i Domènech, Josep Lluís | Nescolarde-Selva, Josué Antonio | Segura, Lorena | Gash, Hugh | Alonso-Stenberg, Kristian |
| Grupo/s de investigación o GITE: | Sistémica, Cibernética y Optimización (SCO) | Acústica Aplicada |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
| Palabras clave: | Actualism | Cantor theorem | Paradoxes | Possible worlds | Sets |
| Área/s de conocimiento: | Matemática Aplicada |
| Fecha de publicación: | 15-jul-2019 |
| Editor: | MDPI |
| Cita bibliográfica: | Usó-Doménech J-L, Nescolarde-Selva J-A, Segura-Abad L, Gash H, Alonso-Stenberg K. Cantor Paradoxes, Possible Worlds and Set Theory. Mathematics. 2019; 7(7):628. doi:10.3390/math7070628 |
| Resumen: | In this paper, we illustrate the paradox concerning maximally consistent sets of propositions, which is contrary to set theory. It has been shown that Cantor paradoxes do not offer particular advantages for any modal theories. The paradox is therefore not a specific difficulty for modal concepts, and it also neither grants advantages nor disadvantages for any modal theory. The underlying problem is quite general, and affects anyone who intends to use the notion of “world” in its ontology. |
| URI: | http://hdl.handle.net/10045/94469 |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math7070628 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2019 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/). |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.3390/math7070628 |
| Aparece en las colecciones: | INV - SYC - Artículos de Revistas |
Archivos en este ítem:
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
 2019_Uso-Domenech_etal_Mathematics.pdf | 234,85 kB | Adobe PDF | Abrir Vista previa | |
Ver citas en Google Académico
Este ítem está licenciado bajo Licencia Creative Commons
