{"id":216,"date":"2017-02-04T23:11:20","date_gmt":"2017-02-04T22:11:20","guid":{"rendered":"http:\/\/www2.mathnique.com\/site\/?page_id=216"},"modified":"2025-12-12T13:27:52","modified_gmt":"2025-12-12T12:27:52","slug":"type-de-raisonnement","status":"publish","type":"page","link":"https:\/\/www.mathnique.com\/site\/type-de-raisonnement\/","title":{"rendered":"Les diff\u00e9rents types de raisonnement"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2517 aligncenter\" src=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2018\/07\/calculmental2-217x300.png\" alt=\"\" width=\"116\" height=\"160\" srcset=\"https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2018\/07\/calculmental2-217x300.png 217w, https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2018\/07\/calculmental2.png 434w\" sizes=\"auto, (max-width: 116px) 85vw, 116px\" \/><\/p>\n<ul>\n<li><span style=\"color: #ff0000;\"><strong>Les diff\u00e9rents types de raisonnement sont<\/strong><\/span>\u00a0:\n<ul>\n<li><em>Le raisonnement par implication<\/em>\n<ul>\n<li>l\u2019implication directe : $p \\Longrightarrow q$<\/li>\n<li>la contraposition : $non(q) \\Longrightarrow non(p)$ est une proposition \u00e9quivalente \u00e0 l'implication directe<br \/>\n$p \\Longrightarrow q$.<\/li>\n<\/ul>\n<\/li>\n<li><em>Le raisonnement par \u00e9quivalence logique<\/em>\n<ul>\n<li>directe : $ p\u00a0\\Longleftrightarrow q$<\/li>\n<li>implication $p \\Longrightarrow q$ et implication r\u00e9ciproque\u00a0$q \\Longrightarrow p$<\/li>\n<\/ul>\n<\/li>\n<li><em>Le raisonnement par l'absurde<\/em><\/li>\n<li><em>Le raisonnement par analogie<\/em><\/li>\n<li><em>Le raisonnement par disjonction de cas<\/em><\/li>\n<li><em>Le raisonnement par analyse-synth\u00e8se<\/em><\/li>\n<\/ul>\n<\/li>\n<li>Tout ceci est r\u00e9sum\u00e9 dans le document personnel suivant : <a href=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2025\/12\/raisonnement.pdf\">raisonnement<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Les diff\u00e9rents types de raisonnement sont\u00a0: Le raisonnement par implication l\u2019implication directe : $p \\Longrightarrow q$ la contraposition : $non(q) \\Longrightarrow non(p)$ est une proposition \u00e9quivalente \u00e0 l'implication directe $p \\Longrightarrow q$. Le raisonnement par \u00e9quivalence logique directe : $ p\u00a0\\Longleftrightarrow q$ implication $p \\Longrightarrow q$ et implication r\u00e9ciproque\u00a0$q \\Longrightarrow p$ Le raisonnement par l'absurde &hellip; <a href=\"https:\/\/www.mathnique.com\/site\/type-de-raisonnement\/\" class=\"more-link\">Continuer la lecture<span class=\"screen-reader-text\"> de &laquo;&nbsp;Les diff\u00e9rents types de raisonnement&nbsp;&raquo;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-216","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/comments?post=216"}],"version-history":[{"count":10,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/216\/revisions"}],"predecessor-version":[{"id":3566,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/216\/revisions\/3566"}],"wp:attachment":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/media?parent=216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}