Philosophy of mathematics and the cognitive basis of the large cardinals theory
Filosofía de las matemáticas, teoría de cardinales grandes y sus bases cognitivas
| dc.creator | Quezada, Wilfredo | |
| dc.date | 2017-11-30 | |
| dc.identifier | https://revistafilosofia.uchile.cl/index.php/RDF/article/view/47741 | |
| dc.description | In this paper we examine in first place some philosophical implications of P. Maddy’s mathematical naturalism as a philosophical account which allows us to overcome the drawbacks associated to both fictionalism and physicalistic realism in philosophy of mathematics. Besides that, the main virtue of that account seems to lie in the solution it provides to the applicability of mathematics problem when rejecting both the indispensability thesis and confirmative holism postulated by Quine. In second place, on the basis of difficulties intrinsic to Maddy’s philosophical program, we explore a better motivated naturalistic option –the embodied cognition approach– and suggest that it allows to adequately explain why most of set-theory specialists use to postulate the existence of some large cardinals, in particular, non-constructible sets. | en-US |
| dc.description | En este artículo se examinan algunas implicaciones del naturalismo matemático de P. Maddy como una concepción filosófica que permite superar las dificultades del ficcionalismo y el realismo fisicalista en matemáticas. Aparte de esto, la mayor virtud de tal concepción parece ser que resuelve el problema que plantea para la aplicabilidad de la matemática el no asumir la tesis de indispensabilidad de Quine sin comprometerse con su holismo confirmacional. A continuación, sobre la base de dificultades intrínsecas al programa de Maddy, exploramos un camino naturalista mejor motivado, el enfoque cognitivista corporeizado, y sugerimos que él permite explicar de manera adecuada la postulación de ciertos cardinales grandes, en particular, la aceptación de conjuntos no-construibles. | es-ES |
| dc.format | application/epub+zip | |
| dc.format | application/pdf | |
| dc.format | application/xml | |
| dc.language | spa | |
| dc.publisher | Universidad de Chile. Facultad de Filosofía y Humanidades | es-ES |
| dc.relation | https://revistafilosofia.uchile.cl/index.php/RDF/article/view/47741/50430 | |
| dc.relation | https://revistafilosofia.uchile.cl/index.php/RDF/article/view/47741/50099 | |
| dc.relation | https://revistafilosofia.uchile.cl/index.php/RDF/article/view/47741/57431 | |
| dc.rights | Derechos de autor 2017 Revista de Filosofía | es-ES |
| dc.source | Revista de Filosofía; Vol. 73 (2017); pp. 281-297 | en-US |
| dc.source | Revista de Filosofía; Vol. 73 (2017); pp. 281-297 | es-ES |
| dc.source | 0718-4360 | |
| dc.source | 0034-8236 | |
| dc.subject | mathematical naturalism | en-US |
| dc.subject | set theory | en-US |
| dc.subject | large cardinals | en-US |
| dc.subject | constructible set | en-US |
| dc.subject | embodied cognition | en-US |
| dc.subject | naturalismo matemático | es-ES |
| dc.subject | teoría de conjuntos | es-ES |
| dc.subject | cardinales grandes | es-ES |
| dc.subject | conjunto construible | es-ES |
| dc.subject | cognición corporeizada | es-ES |
| dc.title | Philosophy of mathematics and the cognitive basis of the large cardinals theory | en-US |
| dc.title | Filosofía de las matemáticas, teoría de cardinales grandes y sus bases cognitivas | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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Revista de Filosofía
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