{"id":74059,"date":"2021-03-14T19:52:29","date_gmt":"2021-03-14T17:52:29","guid":{"rendered":"https:\/\/www.lovendal.ro\/wp52\/?p=74059"},"modified":"2021-03-14T19:52:29","modified_gmt":"2021-03-14T17:52:29","slug":"teoremele-unei-minti-stralucite-kurt-godel-demonstreaza-ca-in-stiinta-nimeni-nu-are-dreptate-si-nimeni-nu-greseste-universul-nu-ofera-raspunsuri-adevarate-sau-false-ci-doar-raspunsuri","status":"publish","type":"post","link":"https:\/\/www.lovendal.ro\/wp52\/teoremele-unei-minti-stralucite-kurt-godel-demonstreaza-ca-in-stiinta-nimeni-nu-are-dreptate-si-nimeni-nu-greseste-universul-nu-ofera-raspunsuri-adevarate-sau-false-ci-doar-raspunsuri\/","title":{"rendered":"Teoremele unei min\u0163i str\u0103lucite, Kurt Godel, demonstreaz\u0103 c\u0103 \u00een \u015ftiin\u0163\u0103 nimeni nu are dreptate \u0219i nimeni nu gre\u0219e\u0219te! Universul nu ofer\u0103 r\u0103spunsuri adev\u0103rate sau false, ci doar r\u0103spunsuri&#8230;"},"content":{"rendered":"<figure id=\"attachment_74060\" aria-describedby=\"caption-attachment-74060\" style=\"width: 340px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2021\/03\/logica-Godel.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-74060\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2021\/03\/logica-Godel.jpg\" alt=\"\" width=\"350\" height=\"303\" srcset=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2021\/03\/logica-Godel.jpg 350w, https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2021\/03\/logica-Godel-300x260.jpg 300w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/a><figcaption id=\"caption-attachment-74060\" class=\"wp-caption-text\"><strong>Imagine<\/strong>: <a href=\"https:\/\/pixabay.com\/ro\/photos\/rubiks-cub-joc-cub-juc%C4%83rie-puzzle-933202\/\" target=\"_blank\" rel=\"noopener\"><strong>pixabay.com<\/strong><\/a> (Commons Creative &#8211; free) + prelucrare proprie<\/figcaption><\/figure>\n<p>Kurt Godel a fost un str\u0103lucit matematician, logician \u015fi filozof austriac \/ american. \u00cen 1931, el concepe teoremele incompletitudinii, care sunt dou\u0103 teoreme faimoase.<\/p>\n<p>\u00cen prima teorem\u0103 se afirm\u0103 urm\u0103toarele: \u00een orice formalizare coerent\u0103 din matematic\u0103, care s\u0103 fie suficient de puternic\u0103 pentru a axiomatiza teoria elementar\u0103 a numerelor naturale, adic\u0103 s\u0103 fie suficient de puternic\u0103 pentru a defini structura numerelor naturale dotate cu opera\u021bii de sum\u0103 \u0219i produs, este posibil s\u0103 se construiasc\u0103 o propozi\u021bie corect\u0103 din punct de vedere sintactic, care nu poate fi nici demonstrat\u0103 \u0219i nici respins\u0103 \u00een interiorul aceluia\u0219i sistem.<\/p>\n<p>Dac\u0103 \u00eentreaga aritmetic\u0103 este dedus\u0103 din axiome, acestea vor conduce la o contradic\u021bie; dac\u0103 teoremele derivate din ele nu sunt contradictorii, exist\u0103 cel pu\u021bin o teorem\u0103 care nu poate fi demonstrat\u0103 pornind doar de la acele axiome, un caz indecidabil, despre care nu se poate spune dac\u0103 este adev\u0103rat\u0103 sau fals\u0103.<\/p>\n<p>Dac\u0103 o teorie se bazeaz\u0103, de exemplu, pe o anumit\u0103 construc\u021bie axiomatic\u0103 din axe de referin\u021b\u0103 care vor construi domeniul acelei matematici, legile deduse din acel sistem de referin\u021b\u0103, ar putea s\u0103 nu fie exacte, pentru c\u0103 acestea nu pot demonstra c\u0103 sistemul de referin\u021b\u0103 este universal valid, adic\u0103 exact. Pentru ca sistemul de referin\u021b\u0103 s\u0103 poat\u0103 fi declarat valid, adic\u0103 s\u0103 fie valide toate legile con\u021binute \u00een acesta, ci este nevoie e un alt sistem de referin\u021b\u0103, extern, care s\u0103 \u00eel valideze pe primul, dar, la r\u00e2ndul s\u0103u, al doilea sistem de referin\u021b\u0103 ar trebui s\u0103 aib\u0103 nevoie de un al treilea \u0219i tot a\u0219a&#8230;<\/p>\n<p>\u00cen concluzie, formulele din fizic\u0103 \u0219i matematic\u0103 poate c\u0103 nu sunt gre\u0219ite, dar nu putem \u0219ti asta cu certitudine. Toate aceste conduc la formularea celei de-a doua teorem\u0103 a lui Godel, care spune c\u0103, \u00een esen\u021b\u0103, niciun sistem coerent nu poate fi utilizat pentru a-\u0219i demonstra propria coeren\u021b\u0103.<\/p>\n<p>A\u015fadar, o concluzie este adev\u0103rat\u0103 \u0219i fals\u0103 \u00een acela\u0219i timp; <strong>Universul nu ofer\u0103 r\u0103spunsuri adev\u0103rate sau false, ci ofer\u0103 doar r\u0103spunsuri<\/strong>. <strong>Nimeni nu are dreptate \u0219i nimeni nu gre\u0219e\u0219te<\/strong>, ci fiecare este con\u0219tient de Universul pe care \u0219i l-a creat \u00een jurul s\u0103u.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kurt Godel a fost un str\u0103lucit matematician, logician \u015fi filozof austriac \/ american. \u00cen 1931, el concepe teoremele incompletitudinii, care sunt dou\u0103 teoreme faimoase. \u00cen prima teorem\u0103 se afirm\u0103 urm\u0103toarele: \u00een orice formalizare coerent\u0103 din matematic\u0103, care s\u0103 fie suficient &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Teoremele unei min\u0163i str\u0103lucite, Kurt Godel, demonstreaz\u0103 c\u0103 \u00een \u015ftiin\u0163\u0103 nimeni nu are dreptate \u0219i nimeni nu gre\u0219e\u0219te! Universul nu ofer\u0103 r\u0103spunsuri adev\u0103rate sau false, ci doar r\u0103spunsuri&#8230;\" class=\"read-more button\" href=\"https:\/\/www.lovendal.ro\/wp52\/teoremele-unei-minti-stralucite-kurt-godel-demonstreaza-ca-in-stiinta-nimeni-nu-are-dreptate-si-nimeni-nu-greseste-universul-nu-ofera-raspunsuri-adevarate-sau-false-ci-doar-raspunsuri\/#more-74059\" aria-label=\"Cite\u0219te mai multe despre Teoremele unei min\u0163i str\u0103lucite, Kurt Godel, demonstreaz\u0103 c\u0103 \u00een \u015ftiin\u0163\u0103 nimeni nu are dreptate \u0219i nimeni nu gre\u0219e\u0219te! Universul nu ofer\u0103 r\u0103spunsuri adev\u0103rate sau false, ci doar r\u0103spunsuri&#8230;\">Cititi mai multe<\/a><\/p>\n","protected":false},"author":1,"featured_media":74060,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[106],"tags":[37,348,16533,16534,1722,679,9803,3228,1087],"class_list":["post-74059","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stiinta","tag-filozof","tag-fizica","tag-kurt-godel","tag-logician","tag-matematica","tag-matematician","tag-stiinta","tag-teorema","tag-univers","resize-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Teoremele unei min\u0163i str\u0103lucite, Kurt Godel, demonstreaz\u0103 c\u0103 \u00een \u015ftiin\u0163\u0103 nimeni nu are dreptate \u0219i nimeni nu gre\u0219e\u0219te! 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