\n
\n\tChatGPT’nin arkas\u0131ndaki \u015firket, Macar matematik\u00e7i Paul Erd\u0151s taraf\u0131ndan 1946 y\u0131l\u0131nda ortaya at\u0131lan “d\u00fczlemsel birim mesafe problemi” (planar unit distance problem) konusunda \u00f6nemli bir ba\u015far\u0131 elde etti\u011fini a\u00e7\u0131klad\u0131.<\/p>\n
\n\tErd\u00f6s taraf\u0131ndan ortaya konan soru temelde basit bir mant\u0131\u011fa dayan\u0131yor: Bir ka\u011f\u0131t \u00fczerine belirli say\u0131da nokta koyuldu\u011funda, ka\u00e7 nokta \u00e7ifti birbiriyle tamamen ayn\u0131 mesafede bulunabilir?<\/p>\n
\n\tErd\u00f6s, bu \u00e7iftlerin say\u0131s\u0131n\u0131n, noktalar\u0131n kendi say\u0131s\u0131ndan sadece biraz daha h\u0131zl\u0131 artaca\u011f\u0131n\u0131 ileri s\u00fcrm\u00fc\u015ft\u00fc. OpenAI’\u0131n modeli ise farkl\u0131 matematik dallar\u0131ndan yararlanarak, Erd\u00f6s’\u00fcn varsay\u0131m\u0131ndaki s\u0131n\u0131r\u0131 a\u015fan tamamen yeni bir dizilim ailesi ke\u015ffetti ve bu teoriyi \u00e7\u00fcr\u00fctt\u00fc.<\/p>\n
\n\tKare \u0131zgara ezberi bozuldu<\/h2>\n
\n\tOpenAI, sosyal medya platformu X \u00fczerinden yapt\u0131\u011f\u0131 a\u00e7\u0131klamada, \u015fu ifadelere yer verdi:<\/p>\n
\n\t“Neredeyse 80 y\u0131ld\u0131r matematik\u00e7iler en iyi olas\u0131 \u00e7\u00f6z\u00fcmlerin kabaca kare \u0131zgaralara benzedi\u011fine inan\u0131yordu. Bir OpenAI modeli, bu inanc\u0131 \u00e7\u00fcr\u00fcterek \u00e7ok daha iyi performans g\u00f6steren tamamen yeni bir dizilim ailesi ke\u015ffetti.”<\/p>\n
\n\tBu geli\u015fme matematik d\u00fcnyas\u0131nda b\u00fcy\u00fck heyecan yaratsa da, genel problem hen\u00fcz tamamen \u00e7\u00f6z\u00fclm\u00fc\u015f say\u0131lm\u0131yor. Yapay zeka, nokta \u00e7iftlerinin ne kadar h\u0131zl\u0131 artt\u0131\u011f\u0131na dair kesin ve yeni bir yan\u0131t bulmak yerine, sadece Erd\u0151s’\u00fcn \u00f6nerdi\u011fi \u00fcst s\u0131n\u0131r\u0131n \u00e7ok d\u00fc\u015f\u00fck kald\u0131\u011f\u0131n\u0131 kan\u0131tlam\u0131\u015f oldu.<\/p>\n
\n\tMatematik\u00e7ilerden do\u011frulama geldi<\/h2>\n
\n\tABD borsas\u0131nda halka arz edilmeye haz\u0131rlanan OpenAI, bu hesaplamalar\u0131n matematik i\u00e7in \u00f6zel olarak e\u011fitilmi\u015f bir sistem taraf\u0131ndan de\u011fil, problemleri k\u00fc\u00e7\u00fck ad\u0131mlara b\u00f6lerek \u00e7\u00f6zen genel ama\u00e7l\u0131 bir mant\u0131k y\u00fcr\u00fctme modeli taraf\u0131ndan yap\u0131ld\u0131\u011f\u0131n\u0131 belirtti.<\/p>\n
\n\t\u015eirket daha \u00f6nce de Erd\u0151s problemlerini \u00e7\u00f6zme giri\u015fiminde bulunmu\u015f ancak ge\u00e7en y\u0131l elde etti\u011fini iddia etti\u011fi ba\u015far\u0131n\u0131n, modelin zaten literat\u00fcrde var olan bilgileri kopyalamas\u0131ndan ibaret oldu\u011fu ortaya \u00e7\u0131km\u0131\u015ft\u0131. Bu kez ise OpenAI’\u0131n \u00e7al\u0131\u015fmas\u0131, ge\u00e7mi\u015fteki iddialar\u0131 ele\u015ftiren ve Erd\u0151s problemleri web sitesini y\u00f6neten matematik\u00e7i Thomas Bloom da dahil olmak \u00fczere uzmanlarca do\u011fruland\u0131.<\/p>\n
\n\tOpenAI\u2019\u0131n blog yaz\u0131s\u0131na e\u015flik eden makalenin ortak yazarlar\u0131ndan olan Bloom, yapay zeka sisteminin bu sonu\u00e7lara “bir insan\u0131n ke\u015ffetmeye de\u011fmeyece\u011fini d\u00fc\u015f\u00fcnerek vazge\u00e7ebilece\u011fi yollar\u0131 inatla takip ederek” ula\u015ft\u0131\u011f\u0131n\u0131 yazd\u0131. Ancak Bloom, s\u00fcre\u00e7te insan fakt\u00f6r\u00fcn\u00fcn \u00f6nemini \u015fu s\u00f6zlerle vurgulad\u0131:<\/p>\n
\n\t“Yapay zeka taraf\u0131ndan \u00fcretilen orijinal kan\u0131t tamamen ge\u00e7erli olsa da, OpenAI’daki ara\u015ft\u0131rmac\u0131lar ve makaleye katk\u0131da bulunan di\u011fer bir\u00e7ok matematik\u00e7i taraf\u0131ndan \u00f6nemli \u00f6l\u00e7\u00fcde geli\u015ftirildi. \u0130nsan, bu kan\u0131t\u0131n tart\u0131\u015f\u0131lmas\u0131, sindirilmesi, iyile\u015ftirilmesi ve sonu\u00e7lar\u0131n\u0131n ara\u015ft\u0131r\u0131lmas\u0131nda hala hayati bir rol oynamaktad\u0131r.”<\/p>\n
\n\tMakaleye katk\u0131 sunan bir di\u011fer matematik\u00e7i Tim Gowers ise bu sonucu “yapay zeka matemati\u011finde bir d\u00f6n\u00fcm noktas\u0131” olarak nitelendirdi.<\/p>\n
\n\tSurrey \u00dcniversitesi \u0130nsan Merkezli Yapay Zeka Enstit\u00fcs\u00fc’nden Andrew Rogoyski de bu duyurunun, yapay zekan\u0131n insanlara problemlere bakmak i\u00e7in yeni yollar sundu\u011funu g\u00f6sterdi\u011fini belirterek, “Yapay zekan\u0131n yarat\u0131c\u0131 d\u00fc\u015f\u00fcnce d\u00fcnyas\u0131n\u0131 etkiledi\u011fi ve gelecekteki bilimsel ara\u015ft\u0131rmalar\u0131n temel bir arac\u0131 haline gelece\u011fi giderek daha netle\u015fiyor” dedi.<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"
ChatGPT’nin arkas\u0131ndaki \u015firket, Macar matematik\u00e7i Paul Erd\u0151s taraf\u0131ndan 1946 y\u0131l\u0131nda ortaya at\u0131lan “d\u00fczlemsel birim mesafe problemi” (planar unit distance problem) konusunda \u00f6nemli bir ba\u015far\u0131 elde etti\u011fini a\u00e7\u0131klad\u0131.
Erd\u00f6s taraf\u0131ndan ortaya konan soru temelde basit bir mant\u0131\u011fa dayan\u0131yor: Bir ka\u011f\u0131t \u00fczerine belirli say\u0131da nokta koyuldu\u011funda, ka\u00e7 nokta \u00e7ifti birbiriyle tamamen ayn\u0131 mesafede bulunabilir?
[…]<\/p>\n","protected":false},"author":1,"featured_media":37303,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[],"jnews_social_meta":[],"jnews_override_counter":[],"footnotes":""},"categories":[2],"tags":[],"class_list":["post-37302","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dunya"],"yoast_head":"\n
OpenAI 80 y\u0131ll\u0131k matematik problemini \u00e7\u00f6zd\u00fc - Haber Ver K\u0131br\u0131s<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/haberverkibris.com\/index.php\/2026\/05\/22\/openai-80-yillik-matematik-problemini-cozdu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"OpenAI 80 y\u0131ll\u0131k matematik problemini \u00e7\u00f6zd\u00fc - Haber Ver K\u0131br\u0131s\" \/>\n<meta property=\"og:description\" content=\"
ChatGPT’nin arkas\u0131ndaki \u015firket, Macar matematik\u00e7i Paul Erd\u0151s taraf\u0131ndan 1946 y\u0131l\u0131nda ortaya at\u0131lan “d\u00fczlemsel birim mesafe problemi” (planar unit distance problem) konusunda \u00f6nemli bir ba\u015far\u0131 elde etti\u011fini a\u00e7\u0131klad\u0131.
Erd\u00f6s taraf\u0131ndan ortaya konan soru temelde basit bir mant\u0131\u011fa dayan\u0131yor: Bir ka\u011f\u0131t \u00fczerine belirli say\u0131da nokta koyuldu\u011funda, ka\u00e7 nokta \u00e7ifti birbiriyle tamamen ayn\u0131 mesafede bulunabilir?
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Haber Ver K\u0131br\u0131s","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/haberverkibris.com\/index.php\/2026\/05\/22\/openai-80-yillik-matematik-problemini-cozdu\/","og_locale":"tr_TR","og_type":"article","og_title":"OpenAI 80 y\u0131ll\u0131k matematik problemini \u00e7\u00f6zd\u00fc - Haber Ver K\u0131br\u0131s","og_description":"
ChatGPT’nin arkas\u0131ndaki \u015firket, Macar matematik\u00e7i Paul Erd\u0151s taraf\u0131ndan 1946 y\u0131l\u0131nda ortaya at\u0131lan “d\u00fczlemsel birim mesafe problemi” (planar unit distance problem) konusunda \u00f6nemli bir ba\u015far\u0131 elde etti\u011fini a\u00e7\u0131klad\u0131.
Erd\u00f6s taraf\u0131ndan ortaya konan soru temelde basit bir mant\u0131\u011fa dayan\u0131yor: Bir ka\u011f\u0131t \u00fczerine belirli say\u0131da nokta koyuldu\u011funda, ka\u00e7 nokta \u00e7ifti birbiriyle tamamen ayn\u0131 mesafede bulunabilir?
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