Leibniz’s vision on Wallis’ infinite product
In this paper I will examine Leibniz’s view on Wallis’ infinite product for the quadrature of the circle. I will particularly show that Leibniz conceived that Wallis’ result is not equivalent to his own one, since, according to Leibniz, the infinitization of the product of the British mathematician...
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ARFIL y UNL
2020
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| Acceso en línea: | https://bibliotecavirtual.unl.edu.ar/publicaciones/index.php/Topicos/article/view/10003 |
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oai:bibliotecavirtual.unl.edu.ar:article-100032022-05-04T11:34:41Z Leibniz’s vision on Wallis’ infinite product La visión de Leibniz sobre el producto infinito de Wallis Raffo Quintana, Federico In this paper I will examine Leibniz’s view on Wallis’ infinite product for the quadrature of the circle. I will particularly show that Leibniz conceived that Wallis’ result is not equivalent to his own one, since, according to Leibniz, the infinitization of the product of the British mathematician implies an absurd. Thus, Leibniz’s conception, that his own proposal of an exact arithmetical quadrature of the circle has no precedent, would be justified. En este trabajo examinaré de qué manera Leibniz consideró el producto infinito de Wallis para la cuadratura del círculo. En particular, mostraré que Leibniz concibió que el resultado de Wallis no es equivalente al suyo, pues de la infinitización del producto del matemático británico, según la lectura del de Leipzig, se sigue un absurdo. De esta manera, se justificaría la concepción de Leibniz de que su propuesta de una cuadratura aritmética exacta del círculo no tiene precedentes. ARFIL y UNL 2020-12-29 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion artículo Articulo info:ar-repo/semantics/artículo application/pdf https://bibliotecavirtual.unl.edu.ar/publicaciones/index.php/Topicos/article/view/10003 10.14409/topicos.v0i39.10003 Tópicos. Revista de Filosofía de Santa Fe; Núm. 39 (2020): Tópicos. Revista de Filosofía de Santa Fe; 118-148 Tópicos. Revista de Filosofía de Santa Fe; No 39 (2020): Tópicos. Revista de Filosofía de Santa Fe; 118-148 1668-723X 1666-485X 10.14409/topicos.v0i39 spa info:eu-repo/grantAgreement/EC/FP7/ https://bibliotecavirtual.unl.edu.ar/publicaciones/index.php/Topicos/article/view/10003/13463 info:eu-repo/semantics/openAccess Derechos de autor 2020 Tópicos. Revista de Filosofía de Santa Fe |
| institution |
Universidad Nacional del Litoral |
| collection |
Publicaciones periódicas |
| language |
spa |
| format |
Artículo revista |
| description |
In this paper I will examine Leibniz’s view on Wallis’ infinite product for the quadrature of the circle. I will particularly show that Leibniz conceived that Wallis’ result is not equivalent to his own one, since, according to Leibniz, the infinitization of the product of the British mathematician implies an absurd. Thus, Leibniz’s conception, that his own proposal of an exact arithmetical quadrature of the circle has no precedent, would be justified. |
| author |
Raffo Quintana, Federico |
| spellingShingle |
Raffo Quintana, Federico Leibniz’s vision on Wallis’ infinite product |
| author_facet |
Raffo Quintana, Federico |
| author_sort |
Raffo Quintana, Federico |
| title |
Leibniz’s vision on Wallis’ infinite product |
| title_short |
Leibniz’s vision on Wallis’ infinite product |
| title_full |
Leibniz’s vision on Wallis’ infinite product |
| title_fullStr |
Leibniz’s vision on Wallis’ infinite product |
| title_full_unstemmed |
Leibniz’s vision on Wallis’ infinite product |
| title_sort |
leibniz’s vision on wallis’ infinite product |
| publisher |
ARFIL y UNL |
| publishDate |
2020 |
| url |
https://bibliotecavirtual.unl.edu.ar/publicaciones/index.php/Topicos/article/view/10003 |
| _version_ |
1733712056446615552 |
| score |
11.8626 |