Wiles, 1995\u2019te problemin \u00fcstesinden geldi\u011finde problemin kan\u0131tlanabilece\u011fi ger\u00e7e\u011finin pek \u00e7ok matematik\u00e7i i\u00e7in \u015fok edici oldu\u011funu ve \u015f\u00f6yle d\u00fc\u015f\u00fcnd\u00fcklerini s\u00f6yl\u00fcyor, McLarty: \u201cPeki \u015fimdi ne olacak? Yeni bir \u00fcnl\u00fc matematik problemi yok.\u201d<\/p>\n McLarty, Case Western Reserve\u2019de mant\u0131k \u00fczerine uzmanla\u015fm\u0131\u015f ve lisans\u0131n\u0131 matematik b\u00f6l\u00fcm\u00fcnde tamamlam\u0131\u015f bir felsefe profesor\u00fc. \u00a0Fermat\u2019n\u0131n problemini \u00e7\u00f6zmese de, problemin Wiles\u2019\u0131n \u00e7\u00f6z\u00fcm\u00fcnden daha basit bir bi\u00e7imde kan\u0131tlanabilece\u011fini g\u00f6sterdi.<\/p>\n Wiles 110 sayfal\u0131k kan\u0131t\u0131n\u0131 olu\u015ftururken, say\u0131lara ili\u015fkin derin kavray\u0131\u015f\u0131ndan ve Alexander Grothendieck gibi matematik\u00e7ilerin \u00e7al\u0131\u015fmalar\u0131ndan faydalanm\u0131\u015ft\u0131. Grothendieck 1960 ve 70\u2019lerde cebirsel geometriyi yeniden yap\u0131land\u0131rarak say\u0131 teorisinde bir devrim yaratm\u0131\u015ft\u0131. Soyut d\u00fc\u015f\u00fcnceleri desteklemek i\u00e7in g\u00fc\u00e7l\u00fc varsay\u0131mlar kulland\u0131. Bunlardan biri, k\u00fcmeler evreninin varl\u0131\u011f\u0131n\u0131n, standart k\u00fcme teorisinin kan\u0131tlayamayaca\u011f\u0131 kadar b\u00fcy\u00fck olmas\u0131yd\u0131. Standart k\u00fcme teorisi, matematik\u00e7iler taraf\u0131ndan yayg\u0131n bir bi\u00e7imde kullan\u0131lan ilkeler veya aksiyomlar\u0131 i\u00e7eriyor.<\/p>\n McLarty, Grothendieck\u2019in \u00e7al\u0131\u015fmas\u0131n\u0131 bir \u00a0\u201cara\u00e7 tak\u0131m\u0131\u201d olarak nitelendiriyor ve Fermat\u2019n\u0131n son teoremi\u2019nin kan\u0131t\u0131 i\u00e7in, onun k\u00fc\u00e7\u00fck bir pay\u0131n\u0131n yeterli oldu\u011funu belirtiyor.<\/p>\n \u201cSay\u0131 teorisyenlerinin \u00e7o\u011fu yar\u0131\u015f arabas\u0131 s\u00fcr\u00fcc\u00fcleri gibidir. Arabadan al\u0131nabilecek en y\u00fcksek verimi al\u0131rlar; fakat b\u00fct\u00fcn bir araba yapmazlar.\u201d diyor McLarty ve ekliyor: \u201cGrothendieck en ba\u015f\u0131ndan yeni bir araba \u00fcretmek i\u00e7in bir \u2018ara\u00e7 tak\u0131m\u0131\u2019 \u00fcretti.\u201d McLarty, Grothendieck\u2019in g\u00fc\u00e7l\u00fc k\u00fcme teorisini kulland\u0131\u011f\u0131 yerde, teorinin sadece bir k\u0131sm\u0131n\u0131 kullanabilece\u011fini, say\u0131 k\u00fcmelerinin birka\u00e7 basamakta kuruldu\u011fu sonlu aritmetik dizileri kullanarak g\u00f6sterdi. Bu, Fermat\u2019n\u0131n teoremi kan\u0131tlamak i\u00e7in Grothendieck\u2019in geli\u015ftirdi\u011fi ve Andrew Wiles\u2019\u0131n kan\u0131t\u0131nda kulland\u0131\u011f\u0131 say\u0131 k\u00fcmelerinin k\u00fcmelerine gerek olmad\u0131\u011f\u0131 anlam\u0131na geliyor. McLarty\u2019nin sonlu aritmetik dizileri, Grothendick\u2019in en soyut fikirlerinin dahi standart k\u00fcme teorisinden daha az\u0131 ile do\u011frulanabilmesini sa\u011fl\u0131yor.<\/p>\n Fermat\u2019n\u0131n son teoreminin sadece say\u0131lar hakk\u0131nda oldu\u011funu belirten McLarty, \u201cBu nedenle sadece say\u0131lardan bahsederek teoremi kan\u0131tlamal\u0131y\u0131z, sanki.\u201ddiyor. McLarty, bunun yap\u0131labilece\u011fine inansa da say\u0131lara ili\u015fkin pek \u00e7ok yeni kavray\u0131\u015fa ihtiya\u00e7 oldu\u011funu ekliyor.<\/p>\n Kaynak:<\/strong> \u201cFermat’s Last Theorem and More Can Be Proved More Simply\u201d, Science Daily<\/em>, http:\/\/www.sciencedaily.com\/releases\/2013\/03\/130304105652.htm<\/p>\n","protected":false},"excerpt":{"rendered":" Fermat\u2019n\u0131n Son Teoremi, Andrew Wiles\u2019\u0131n 1995\u2019te \u00fcretti\u011fi kan\u0131ta dek yakla\u015f\u0131k 350 y\u0131l boyunca \u00e7\u00f6z\u00fclemedi. \u015eimdi, Case Western Reserve \u00dcniversitesi\u2019nden Colin McLarty teoremin daha basit bir bi\u00e7imde kan\u0131tlanabilece\u011fini g\u00f6sterdi. Pierre Fermat\u2019n\u0131n en son ve en uzun s\u00fcredir do\u011frulanmayan teoremi, \u201cFermat\u2019n\u0131n SonTeoremi\u201d olarak bilinir. 1630\u2019da Fermat, eski bir Yunan matematik\u00e7inin kitab\u0131n\u0131n kenar\u0131na, xn+yn=zn denklemini sa\u011flayan 2\u2019den b\u00fcy\u00fck […]<\/p>\n","protected":false},"author":448,"featured_media":41810,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[149,19,1,235,25],"tags":[6081,675,6082,208,2743],"class_list":["post-41809","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-112-sayi","category-bilim-gundemi","category-genel","category-guncel","category-matematik","tag-colin-mclarty","tag-geometri","tag-grothendieck","tag-matematik","tag-pierre-de-fermat"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t![\"\"](\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2020\/04\/fermat-227x300.jpg\")