{"id":11,"date":"2010-01-18T00:10:44","date_gmt":"2010-01-17T22:10:44","guid":{"rendered":"http:\/\/www.cultureduca.com\/blog\/?p=11"},"modified":"2010-01-18T01:47:20","modified_gmt":"2010-01-17T23:47:20","slug":"la-quintaesencia-o-la-armonia-del-circulo","status":"publish","type":"post","link":"https:\/\/natureduca.com\/culturblog\/la-quintaesencia-o-la-armonia-del-circulo\/","title":{"rendered":"La \u00abquintaesencia\u00bb o la armon\u00eda del c\u00edrculo"},"content":{"rendered":"<p align=\"left\"><span style=\"font-size: small; color: #000000; font-family: Arial;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/natureduca.com\/images_culturblog\/pitagoras.jpg\" alt=\"\" hspace=\"10\" width=\"180\" height=\"277\" align=\"right\" \/>Para comprender las dificultades de resoluci\u00f3n de los problemas orbitales que tuvieron los observadores y te\u00f3ricos que siguieron a Galileo (principalmente Kepler), es necesario comprender los misticismos sobre la matem\u00e1tica y geometr\u00eda arrastrados desde la \u00e9poca de Pit\u00e1goras.<\/span><\/p>\n<p align=\"left\"><span style=\"font-size: small; color: #000000; font-family: Arial;\">Pit\u00e1goras, en el siglo VI a.C., fue el primero en utilizar la palabra <em>Cosmos<\/em>, es decir, el concepto de Universo ordenado y armonioso. Sus disc\u00edpulos relacionaban la certeza de la demostraci\u00f3n matem\u00e1tica con la perfecci\u00f3n del Universo. Muchos de ellos eran m\u00edsticos convencidos. La realidad de su imperfecto y desordenado mundo cotidiano, chocaba frontalmente con aquel Cosmos en el cual los lados de tri\u00e1ngulos rect\u00e1ngulos obedec\u00edan a<\/span><span style=\"font-size: small; color: #000000; font-family: Arial;\">\u00a0la perfecci\u00f3n simples relaciones matem\u00e1ticas; hab\u00edan penetrado en la realidad perfecta del reino de los dioses.<\/span><\/p>\n<p align=\"left\"><span style=\"font-size: small; color: #000000; font-family: Arial;\">Los pitag\u00f3ricos identificaban la constituci\u00f3n del mundo en cuatro elementos: tierra, fuego, aire y agua. Por su parte, por alguna raz\u00f3n \u00e9stos fueron identificados con cuatro s\u00f3lidos regulares: cubo (6 cuadrados), tetraedro (4 tri\u00e1ngulos equil\u00e1teros), octaedro (8 pent\u00e1gonos) e icosaedro (20 tri\u00e1ngulos equil\u00e1teros). Sin embargo, aunque existen infinitos pol\u00edgonos regulares, s\u00f3lo hay cinco s\u00f3lidos regulares, el quinto es el dodecaedro, que tiene por lados a doce pent\u00e1gonos. Por razones m\u00edsticas pensaron entonces que el dodecaedro s\u00f3lo pod\u00eda relacionarse con el Cosmos y la sustancia de los cuerpos celestiales, de ah\u00ed la palabra <em>quintaesencia<\/em> dada a esta correspondencia f\u00edsico-m\u00edstica. Igualmente, los n\u00fameros enteros semejaban la racionalidad de las cosas, y cre\u00edan que de ellos pod\u00edan derivarse todas las inc\u00f3gnitas.<\/span><\/p>\n<p align=\"left\"><span style=\"font-size: small; color: #000000; font-family: Arial;\">Por el car\u00e1cter doctrinal de estas ense\u00f1anzas, la existencia del dodecaedro fue ocultada al pueblo llano, y s\u00f3lo se manejaba dentro del \u00e1mbito de la escuela pitag\u00f3rica. Por la misma raz\u00f3n, se ocult\u00f3 un descubrimiento que romp\u00eda con la tan alabada armon\u00eda geom\u00e9trica y matem\u00e1tica de los n\u00fameros enteros, y que produjo una verdadera crisis en esta doctrina. Simplemente, aplicando el teorema de Pit\u00e1goras, se comprob\u00f3 que la ra\u00edz cuadrada de 2 (raz\u00f3n entre diagonal y lado de un cuadrado) no era racional, es decir, no pod\u00eda expresarse con dos n\u00fameros enteros, de ah\u00ed la palabra <em>irracional<\/em>, significado de que un n\u00famero no puede expresarse como una raz\u00f3n. Fue entonces cuando la concepci\u00f3n del mundo que manten\u00edan Pit\u00e1goras y sus seguidores sinti\u00f3 una amenaza, la creencia de que pod\u00eda desmoronarse ante el indicio de que esa concepci\u00f3n cosmol\u00f3gica careciera de sentido. De nuevo, el conocimiento de la ra\u00edz cuadrada de 2 fue ocultado como ya se hiciera con el dodecaedro, y reservado s\u00f3lo como un conocimiento sagrado. Un disc\u00edpulo de Pit\u00e1goras llamado Hispaso public\u00f3 el secreto del dodecaedro, pero su libro no trascendi\u00f3 y \u00e9l pereci\u00f3 en un naufragio, en lo que fue considerado un castigo justo por los dem\u00e1s fieles de Pit\u00e1goras.<\/span><\/p>\n<p align=\"left\"><span style=\"font-size: small; color: #000000; font-family: Arial;\">Pero uno de los elementos que favorecieron el lento avance en el desvelo de las leyes que rigen el Cosmos y el movimiento de los cuerpos planetarios, fue el concepto m\u00edstico que ten\u00edan los pitag\u00f3ricos del c\u00edrculo y la esfera. Para ellos, la esfera era perfecta, pues el centro se encontraba a la misma distancia de cualquier punto de la superficie. El mismo concepto se ten\u00eda del c\u00edrculo. Por esta raz\u00f3n, no se deduc\u00eda otra forma de movimiento de los planetas que no fuera en forma circular, cualquier otra sugerencia indicar\u00eda un movimiento defectuoso e impropio, y mucho menos que la velocidad de la \u00f3rbita fuese m\u00e1s o menos lenta a lo largo de ella.<\/span><\/p>\n<p align=\"left\"><span style=\"font-size: small; color: #000000; font-family: Arial;\">Estas creencias\u00a0perduraron vigentes durante muchos siglos, y\u00a0desviaron la atenci\u00f3n de los astr\u00f3nomos te\u00f3ricos de la aut\u00e9ntica realidad.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Para comprender las dificultades de resoluci\u00f3n de los problemas orbitales que tuvieron los observadores y te\u00f3ricos que siguieron a Galileo (principalmente Kepler), es necesario comprender los misticismos sobre la matem\u00e1tica y geometr\u00eda arrastrados desde la \u00e9poca de Pit\u00e1goras. Pit\u00e1goras, en el siglo VI a.C., fue el primero en utilizar la\u2026<\/p>\n<p class=\"continue-reading-button\"> <a class=\"continue-reading-link\" href=\"https:\/\/natureduca.com\/culturblog\/la-quintaesencia-o-la-armonia-del-circulo\/\">Seguir leyendo&#8230;<i class=\"crycon-right-dir\"><\/i><\/a><\/p>\n","protected":false},"author":75,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rop_custom_images_group":[],"rop_custom_messages_group":[],"rop_publish_now":"initial","rop_publish_now_accounts":{"twitter_226634691_226634691":""},"rop_publish_now_history":[],"rop_publish_now_status":"pending","_uag_custom_page_level_css":"","footnotes":""},"categories":[10],"tags":[1016,1091,1067,1144,1145,1099,1077],"class_list":["post-11","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-filosofia","tag-arte","tag-cosmos","tag-crisis","tag-leyes","tag-libro","tag-orbita","tag-universo"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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