{"id":824,"date":"2025-08-29T21:14:44","date_gmt":"2025-08-30T03:14:44","guid":{"rendered":"https:\/\/portal.pronea.gt\/?p=824"},"modified":"2025-09-01T21:53:54","modified_gmt":"2025-09-02T03:53:54","slug":"temporary-title-790-2-2","status":"publish","type":"post","link":"https:\/\/portal.pronea.gt\/?p=824","title":{"rendered":"Tautolog\u00eda, contradicci\u00f3n y contingencia: la l\u00f3gica de nuestras decisiones"},"content":{"rendered":"<div id=\"cmsmasters_row_0j6royqael\" class=\"cmsmasters_row cmsmasters_color_scheme_default cmsmasters_row_top_default cmsmasters_row_bot_default cmsmasters_row_boxed\">\n<div class=\"cmsmasters_row_outer_parent\">\n<div class=\"cmsmasters_row_outer\">\n<div class=\"cmsmasters_row_inner\">\n<div class=\"cmsmasters_row_margin\">\n<div id=\"cmsmasters_column_69dy6p9ke\" class=\"cmsmasters_column one_first\">\n<div class=\"cmsmasters_column_inner\"><div class=\"cmsmasters_text\" data-animation=\"bounceInLeft\" data-delay=\"0\">\n<p data-start=\"2148\" data-end=\"2376\">La l\u00f3gica no es solo un tema de clase; es una herramienta que usamos todos los d\u00edas para pensar, analizar y decidir. Dentro de la l\u00f3gica proposicional existen tres conceptos clave: <strong data-start=\"2329\" data-end=\"2373\">tautolog\u00eda, contradicci\u00f3n y contingencia<\/strong>.<\/p>\n<p data-start=\"2378\" data-end=\"2496\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f3a5.svg\" alt=\"\ud83c\udfa5\" \/> <strong data-start=\"2381\" data-end=\"2403\">Mira el video aqu\u00ed<\/strong><\/p>\n<iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/jtdoX_AZmVQ?si=zoUkYIMetGsgObjg\" width=\"1120\" height=\"630\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\n<hr data-start=\"2498\" data-end=\"2501\" \/>\n<h2 data-start=\"2503\" data-end=\"2542\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f50e.svg\" alt=\"\ud83d\udd0e\" \/> \u00bfQu\u00e9 significan estos t\u00e9rminos?<\/h2>\n<ul data-start=\"2544\" data-end=\"3096\">\n<li data-start=\"2544\" data-end=\"2727\">\n<p data-start=\"2546\" data-end=\"2727\"><strong data-start=\"2546\" data-end=\"2561\">Tautolog\u00eda:<\/strong> Una proposici\u00f3n que <strong data-start=\"2582\" data-end=\"2606\">siempre es verdadera<\/strong>, sin importar las circunstancias.<br data-start=\"2640\" data-end=\"2643\" \/>Ejemplo: <em data-start=\"2654\" data-end=\"2685\">\u201cMa\u00f1ana llover\u00e1 o no llover\u00e1\u201d<\/em>. Siempre ser\u00e1 verdad, pase lo que pase.<\/p>\n<\/li>\n<li data-start=\"2729\" data-end=\"2923\">\n<p data-start=\"2731\" data-end=\"2923\"><strong data-start=\"2731\" data-end=\"2749\">Contradicci\u00f3n:<\/strong> Una proposici\u00f3n que <strong data-start=\"2770\" data-end=\"2790\">siempre es falsa<\/strong>, en cualquier situaci\u00f3n.<br data-start=\"2815\" data-end=\"2818\" \/>Ejemplo: <em data-start=\"2829\" data-end=\"2873\">\u201cHoy llover\u00e1 y no llover\u00e1 al mismo tiempo\u201d<\/em>. Es imposible que ambas condiciones se cumplan.<\/p>\n<\/li>\n<li data-start=\"2925\" data-end=\"3096\">\n<p data-start=\"2927\" data-end=\"3096\"><strong data-start=\"2927\" data-end=\"2944\">Contingencia:<\/strong> Una proposici\u00f3n que puede ser <strong data-start=\"2975\" data-end=\"2996\">verdadera o falsa<\/strong>, dependiendo de la situaci\u00f3n.<br data-start=\"3026\" data-end=\"3029\" \/>Ejemplo: <em data-start=\"3040\" data-end=\"3055\">\u201cHoy llover\u00e1\u201d<\/em>. Puede cumplirse o no, seg\u00fan el clima.<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"3098\" data-end=\"3101\" \/>\n<h2 data-start=\"3103\" data-end=\"3145\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f30d.svg\" alt=\"\ud83c\udf0d\" \/> \u00bfPor qu\u00e9 es importante aprenderlo?<\/h2>\n<p data-start=\"3147\" data-end=\"3410\">Entender estos conceptos nos ayuda a reconocer <strong data-start=\"3194\" data-end=\"3227\">argumentos v\u00e1lidos y falacias<\/strong>, a estructurar mejor nuestras ideas y a fortalecer nuestro pensamiento cr\u00edtico. En la vida diaria, desde una conversaci\u00f3n hasta una decisi\u00f3n laboral, la l\u00f3gica nos brinda claridad.<\/p>\n<hr data-start=\"3412\" data-end=\"3415\" \/>\n<h2 data-start=\"3417\" data-end=\"3444\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f393.svg\" alt=\"\ud83c\udf93\" \/> Aprender con PRONEA<\/h2>\n<p data-start=\"3446\" data-end=\"3752\">El <strong data-start=\"3449\" data-end=\"3504\">Programa Nacional de Educaci\u00f3n Alternativa \u2013PRONEA\u2013<\/strong> del Ministerio de Educaci\u00f3n de Guatemala ofrece a j\u00f3venes y adultos la posibilidad de retomar sus estudios. Temas como la l\u00f3gica no solo aportan al \u00e1mbito acad\u00e9mico, sino que tambi\u00e9n mejoran la manera en que enfrentamos los problemas cotidianos.<\/p>\n<hr data-start=\"3754\" data-end=\"3757\" \/>\n<h2 data-start=\"3759\" data-end=\"3776\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/2705.svg\" alt=\"\u2705\" \/> Conclusi\u00f3n<\/h2>\n<p data-start=\"3778\" data-end=\"4038\">La l\u00f3gica nos ense\u00f1a que no todas las ideas son iguales: algunas siempre tendr\u00e1n sentido, otras nunca, y otras depender\u00e1n del contexto.<br data-start=\"3913\" data-end=\"3916\" \/>Comprender la <strong data-start=\"3930\" data-end=\"3974\">tautolog\u00eda, contradicci\u00f3n y contingencia<\/strong> es dar un paso hacia un pensamiento m\u00e1s claro y estructurado.<\/p>\n<p data-start=\"4040\" data-end=\"4091\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f449.svg\" alt=\"\ud83d\udc49\" \/> <strong data-start=\"4043\" data-end=\"4089\">PRONEA: La educaci\u00f3n que transforma vidas.<\/strong><\/p>\n<\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"cmsmasters_row_\" class=\"cmsmasters_row cmsmasters_color_scheme_default cmsmasters_row_top_default cmsmasters_row_bot_default cmsmasters_row_boxed\">\n<div class=\"cmsmasters_row_outer_parent\">\n<div class=\"cmsmasters_row_outer\">\n<div class=\"cmsmasters_row_inner\">\n<div class=\"cmsmasters_row_margin\">\n<div id=\"cmsmasters_column_\" class=\"cmsmasters_column one_first\">\n<div class=\"cmsmasters_column_inner\"><div class=\"cmsmasters_text\">\n<\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<!-- \/wp:post-content -->","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":826,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"image","meta":{"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"footnotes":""},"categories":[33,39],"tags":[],"class_list":["post-824","post","type-post","status-publish","format-image","has-post-thumbnail","hentry","category-matematicas","category-recursos","post_format-post-format-image"],"_links":{"self":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/824","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=824"}],"version-history":[{"count":3,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/824\/revisions"}],"predecessor-version":[{"id":848,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/824\/revisions\/848"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/media\/826"}],"wp:attachment":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}