{"id":619,"date":"2016-05-15T20:22:57","date_gmt":"2016-05-15T20:22:57","guid":{"rendered":"http:\/\/www.revista-educacion-matematica.com\/revista\/?p=619"},"modified":"2016-05-15T20:36:21","modified_gmt":"2016-05-15T20:36:21","slug":"vol26-1-3-en","status":"publish","type":"post","link":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2016\/05\/15\/vol26-1-3-en\/","title":{"rendered":"El infinito potencial y actual: descripci\u00f3n de caminos cognitivos para su construcci\u00f3n en un contexto de paradojas"},"content":{"rendered":"<p><span style=\"color: #e95d00;\">Solange Roa Fuentes y Asuman Okta\u00e7<\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Abstract:<\/strong>A generic genetic decomposition of infinite and two particular genetic decompositions is proposed in this paper: A paradox for tennis balls and one for the Hilbert Hotel paradox. These analyzes take as a basis the construction of infinite iterative processes and transcendent objects, related to the infinite potential and current, respectively. In addition an analysis of the characteristics<br \/>\nof the processes involved in each situation and the complexity of coordinating them with the set of natural numbers to construct infinite iterative processes is presented. The difficulty faced by an individual to coordinate processes of different nature is studied: converging and diverging to infinity as a build process.<\/p>\n<p>Keywords: apos theory, infinite iterative processes, mechanisms and mental structures, transcendent object, paradoxes.<\/p>\n<p><a href=\"http:\/\/somidem.com.mx\/descargas\/Vol26-1-3.pdf\"><img class=\"alignright wp-image-81\" src=\"http:\/\/somidem.com.mx\/revista\/wp-content\/uploads\/2016\/05\/download.png\" alt=\"descarga2\" width=\"150\" \/> <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solange Roa Fuentes y Asuman Okta\u00e7 Abstract:A generic genetic decomposition of infinite and two particular genetic decompositions is proposed in this paper: A paradox for tennis balls and one for the Hilbert Hotel paradox. These analyzes take as a basis the construction of infinite iterative processes and transcendent objects, related\u2026 <a class=\"continue-reading-link\" href=\"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2016\/05\/15\/vol26-1-3-en\/\">Continue reading<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[220],"tags":[101,328,329,331,330],"_links":{"self":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/619"}],"collection":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/comments?post=619"}],"version-history":[{"count":4,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/619\/revisions"}],"predecessor-version":[{"id":633,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/619\/revisions\/633"}],"wp:attachment":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/media?parent=619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/categories?post=619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/tags?post=619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}