{"id":21399,"date":"2022-04-29T18:24:00","date_gmt":"2022-04-29T17:24:00","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=21399"},"modified":"2022-04-30T00:39:16","modified_gmt":"2022-04-29T23:39:16","slug":"voyages-au-pays-des-maths","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=21399","title":{"rendered":"Voyages au pays des maths"},"content":{"rendered":"<p>C&#8217;est un pays exotique et d\u00e9routant. On y parle une langue bizarre, pleine d\u2019hom\u00e9omorphismes, de vari\u00e9t\u00e9s diff\u00e9rentielles, de nombres transfinis\u2026<\/p>\n<p>Mais on y rencontre aussi des paysages \u00e9piques, des id\u00e9es vertigineuses et m\u00eame parfois, des choses utiles! En dix \u00e9pisodes, cette webs\u00e9rie propose \u00e0 tous les curieux une visite in\u00e9dite au pays des maths. Avec un guide, bien s\u00fbr!<\/p>\n<ul style=\"list-style-type: square;\">\n<li>Fonte: <a href=\"https:\/\/www.arte.tv\/en\/\" target=\"_blank\" rel=\"noopener\">arte<\/a> | <a href=\"https:\/\/www.arte.tv\/fr\/videos\/097454-007-A\/voyages-au-pays-des-maths\/\" target=\"_blank\" rel=\"noopener\">Voyages au pays des maths<\/a><\/li>\n<li><a href=\"http:\/\/www.lesfilmsdici.fr\/\" target=\"_blank\" rel=\"noopener\">LES FILMS D&#8217;ICI<\/a> | <a href=\"http:\/\/www.lesfilmsdici.fr\/en\/in-production\/5225-petite-balade-au-pays-des-maths.html\" target=\"_blank\" rel=\"noopener\">VOYAGES AU PAYS DES MATHS<\/a><\/li>\n<\/ul>\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/videoseries?list=PLCwXWOyIR22veT31gK5JwmqxuVc0Uoy8a\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n\n\n\n<div style=\"height:60px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21419\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21419\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep01_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268473&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep01_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep01_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep01_16x9.jpg\" alt=\"\" class=\"wp-image-21419 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep01_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep01_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>1 &#8211; La <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Lei_de_Benford\" target=\"_blank\" rel=\"noreferrer noopener\">loi de Benford<\/a><\/strong><br>Tout commence comme un \u00e9trange complot: le 1 est surrepr\u00e9sent\u00e9 dans la population des nombres! C\u2019est vrai sur les \u00e9tiquettes de la sup\u00e9rette en bas de chez moi; c\u2019est vrai aussi au fin fond de l\u2019univers. Cette bizarrerie statistique nous aide \u00e0 comprendre deux visions du monde compl\u00e9mentaires: la premi\u00e8re est lin\u00e9aire, la seconde logarithmique.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21435\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21435\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep02_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268260&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep02_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep02_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep02_16x9.jpg\" alt=\"\" class=\"wp-image-21435 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep02_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep02_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>2 &#8211; Le dilemme du prisonnier<\/strong><br>Ambiance polar. Un braquage a mal tourn\u00e9: vous et votre complice \u00eates interrog\u00e9s par la police et il faut faire un choix: trahir votre partenaire, ou vous en tenir au silence. Dans cette situation stressante, l&#8217;option optimale n&#8217;est bizarrement pas la meilleure des options. Heureusement, <a rel=\"noreferrer noopener\" href=\"https:\/\/en.wikipedia.org\/wiki\/John_Forbes_Nash_Jr.\" target=\"_blank\">John Nash<\/a> et la <em><a href=\"https:\/\/en.wikipedia.org\/wiki\/Game_theory\" target=\"_blank\" rel=\"noreferrer noopener\">th\u00e9orie des jeux<\/a><\/em>&nbsp;sont l\u00e0 pour vous guider.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21438\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21438\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep03_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268330&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep03_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep03_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep03_16x9.jpg\" alt=\"\" class=\"wp-image-21438 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep03_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep03_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>3 &#8211;&nbsp;Fl\u00e2neries infinit\u00e9simales<\/strong><br>Longtemps les math\u00e9matiques ont \u00e9t\u00e9 une science statique, un temple grec aux proportions parfaites. Il y \u00e9tait question de r\u00e9gularit\u00e9s et de constantes. Puis, avec <a href=\"https:\/\/en.wikipedia.org\/wiki\/Isaac_Newton\" target=\"_blank\" rel=\"noreferrer noopener\">Newton<\/a> et <a href=\"https:\/\/en.wikipedia.org\/wiki\/Gottfried_Wilhelm_Leibniz\" target=\"_blank\" rel=\"noreferrer noopener\">Leibni<\/a>z, le mouvement s\u2019est gliss\u00e9 sournoisement dans le tableau gr\u00e2ce \u00e0 une invention qui a fait entrer le changement dans le champ des math\u00e9matiques: le calcul infinit\u00e9simal.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21439\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21439\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep04_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268362&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep04_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep04_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep04_16x9.jpg\" alt=\"\" class=\"wp-image-21439 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep04_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep04_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>4 &#8211; <a href=\"https:\/\/en.wikipedia.org\/wiki\/Poincar%C3%A9_conjecture\" target=\"_blank\" rel=\"noreferrer noopener\">La conjecture de Poincar\u00e9<\/a><\/strong><br>En 2006, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Grigori_Perelman\" target=\"_blank\" rel=\"noreferrer noopener\">Grigori Perelma<\/a>n est venu \u00e0 bout de la conjecture de <a href=\"https:\/\/en.wikipedia.org\/wiki\/Henri_Poincar%C3%A9\" target=\"_blank\" rel=\"noreferrer noopener\">Poincar\u00e9<\/a>, un probl\u00e8me alors ouvert depuis plus d&#8217;un si\u00e8cle et dont la r\u00e9solution \u00e9tait mise \u00e0 prix: un million de dollars! Qu&#8217;est-ce qui se cache derri\u00e8re ce \u00abprobl\u00e8me du mill\u00e9naire\u00bb? Pour le comprendre il faut passer par des sph\u00e8res plates et des carr\u00e9s sans bord.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21440\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21440\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep05_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268429&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep05_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep05_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep05_16x9.jpg\" alt=\"\" class=\"wp-image-21440 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep05_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep05_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>5 &#8211; Sur la route de l\u2019infini<\/strong><br>En route pour une petite balade \u00e0 la d\u00e9couverte d\u2019un monde gigantesque! On y trouvera des nombres aupr\u00e8s desquels le milliard fait figure de miette et on y apprendra \u00e0 mesurer les infinis. Et je dis bien LES infinis puisqu\u2019on sait depuis <a href=\"https:\/\/en.wikipedia.org\/wiki\/Georg_Cantor\" target=\"_blank\" rel=\"noreferrer noopener\">Georg Cantor<\/a> (1845\/1918) que l\u2019infini existe en plusieurs tailles.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21441\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21441\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep06_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268213&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep06_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep06_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep06_16x9.jpg\" alt=\"\" class=\"wp-image-21441 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep06_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep06_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>6 &#8211; Le th\u00e9or\u00e8me de G\u00f6del<\/strong><br>Les maths, on le sait, sont le domaine de la certitude: soit c\u2019est d\u00e9montrable, soit c\u2019est faux. Sauf que c\u2019est pr\u00e9cis\u00e9ment l\u2019inverse qu\u2019a prouv\u00e9 le th\u00e9or\u00e8me de <a href=\"https:\/\/en.wikipedia.org\/wiki\/Kurt_G%C3%B6del\" target=\"_blank\" rel=\"noreferrer noopener\">G\u00f6del<\/a>: au sein de tout syst\u00e8me formel suffisamment complexe pour englober l\u2019arithm\u00e9tique, il existe des propositions \u00abind\u00e9cidables\u00bb, qu\u2019on ne peut ni prouver ni r\u00e9futer<strong>!<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21442\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21442\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep07_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268401&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep07_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep07_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep07_16x9.jpg\" alt=\"\" class=\"wp-image-21442 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep07_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep07_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>7 &#8211; Le jeu de la vie<\/strong><br>Invent\u00e9 par un math\u00e9maticien am\u00e9ricain (<a href=\"https:\/\/en.wikipedia.org\/wiki\/John_Horton_Conway\" target=\"_blank\" rel=\"noreferrer noopener\">John Horton Conway<\/a>) dans les ann\u00e9es 60, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Conway%27s_Game_of_Life\" target=\"_blank\" rel=\"noreferrer noopener\">le jeu de la vie<\/a> est un \u00abautomate cellulaire\u00bb particuli\u00e8rement visuel qui permet de mieux comprendre \u00abl\u2019\u00e9mergence\u00bb, c\u2019est \u00e0 dire la fa\u00e7on dont un syst\u00e8me complexe peut \u00e9merger de quelque chose de plus simple. Une histoire qui \u2013 soit dit en passant \u2013 rappelle un peu celle de notre Univers.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21443\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21443\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep08_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268163&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep08_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep08_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep08_16x9.jpg\" alt=\"\" class=\"wp-image-21443 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep08_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep08_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>8 &#8211; Les nombres irrationnels<\/strong><br>Les nombres irrationnels sont connus depuis au moins 25 si\u00e8cles, il serait temps de s\u2019y mettre! Tout \u00e7a remonte \u00e0 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Pythagoras\" target=\"_blank\" rel=\"noreferrer noopener\">Pythagore<\/a> (-580\/-495) et \u00e0 cette diagonale dont le carr\u00e9 est \u00e9gal \u00e0 la somme des carr\u00e9s des c\u00f4t\u00e9s&#8230; C\u2019est \u00e0 cause de cette diagonale que le monde bien ordonn\u00e9 des entiers naturels et des fractions va devoir s\u2019\u00e9largir pour accueillir des monstres comme pi et \u221a2.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21444\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21444\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep09_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651268295&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep09_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep09_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep09_16x9.jpg\" alt=\"\" class=\"wp-image-21444 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep09_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep09_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>9 &#8211; Pique-nique sur le plan complexe<\/strong><br>Depuis <a href=\"https:\/\/en.wikipedia.org\/wiki\/Gerolamo_Cardano\" target=\"_blank\" rel=\"noreferrer noopener\">J\u00e9r\u00f4me Cardan<\/a>, fameux astrologue italien du XVI\u00e8me si\u00e8cle, on sait que certaines \u00e9quations semblent admettre pour solutions des nombres\u2026 qui n\u2019existent pas! C\u2019est \u00e9videmment emb\u00eatant\u2026 Mais cet inconv\u00e9nient aboutira quelques si\u00e8cles plus tard \u00e0 la d\u00e9couverte d\u2019un nouveau domaine des nombres: les \u00abcomplexes\u00bb, dont ni les math\u00e9matiques ni la physique ne peuvent plus se passer.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-center\" style=\"grid-template-columns:auto 23%\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"269\" data-attachment-id=\"21445\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=21445\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep10_16x9.jpg\" data-orig-size=\"480,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1651267996&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Voyages_au_pays_des_maths_Ep10_16x9\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep10_16x9.jpg\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep10_16x9.jpg\" alt=\"\" class=\"wp-image-21445 size-full\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep10_16x9.jpg 480w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths_Ep10_16x9-300x168.jpg 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p><strong>10 &#8211; <a href=\"https:\/\/en.wikipedia.org\/wiki\/Riemann_hypothesis\" target=\"_blank\" rel=\"noreferrer noopener\">L&#8217;hypoth\u00e8se de Riemann<\/a><\/strong><br>Choisie par <a href=\"https:\/\/en.wikipedia.org\/wiki\/David_Hilbert\" target=\"_blank\" rel=\"noreferrer noopener\">David Hilbert<\/a> en 1900 comme l\u2019une des questions math\u00e9matiques les plus importantes du si\u00e8cle \u00e0 venir, l\u2019hypoth\u00e8se de <a href=\"https:\/\/en.wikipedia.org\/wiki\/Bernhard_Riemann\" target=\"_blank\" rel=\"noreferrer noopener\">Riemann<\/a> n\u2019est toujours pas r\u00e9solue. Elle affirme que\u00a0<em>les z\u00e9ros non triviaux de la fonction z\u00eata ont tous pour partie r\u00e9elle 1\/2<\/em>\u2026 Ce qui n\u00e9cessite dans doute quelques explications! Lesquelles nous renverront \u00e0 l\u2019un des plus anciens th\u00e8mes des math\u00e9matiques: les nombres premiers.<\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>C&#8217;est un pays exotique et d\u00e9routant. On y parle une langue bizarre, pleine d\u2019hom\u00e9omorphismes, de vari\u00e9t\u00e9s diff\u00e9rentielles, de nombres transfinis\u2026 Mais on y rencontre aussi des paysages \u00e9piques, des id\u00e9es vertigineuses et m\u00eame parfois,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21446,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4,3,7],"tags":[652,174,406,64,651,535,81,508,170,80,169,70,200],"series":[],"class_list":["post-21399","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ciencia-e-tecnologia","category-matematica","category-video","tag-david-hilbert","tag-georg-cantor","tag-grigori-perelman","tag-henri-poincare","tag-jerome-cardan","tag-john-horton-conway","tag-john-nash","tag-kurt-godel","tag-leibniz","tag-matematica-2","tag-newton","tag-riemann","tag-video-2"],"views":745,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/04\/Voyages_au_pays_des_maths.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/21399","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21399"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/21399\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21446"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21399"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21399"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21399"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=21399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}