{"id":29532,"date":"2018-09-22T05:01:05","date_gmt":"2018-09-22T02:01:05","guid":{"rendered":"https:\/\/bilimvegelecek.com.tr\/?p=29532"},"modified":"2018-09-24T06:37:59","modified_gmt":"2018-09-24T03:37:59","slug":"genc-bolyai-matematigi-neden-birakti","status":"publish","type":"post","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/2018\/09\/22\/genc-bolyai-matematigi-neden-birakti","title":{"rendered":"Gen\u00e7 Bolyai matemati\u011fi neden b\u0131rakt\u0131?"},"content":{"rendered":"<p>Janos Bolyai, Macaristan\u2019\u0131n bir ta\u015fra kasabas\u0131ndaki matematik \u00f6\u011fretmeninin o\u011fluydu. Babas\u0131 Farkas Bolyai, \u00fcnl\u00fc matematik\u00e7i Gauss\u2019un da orada \u00f6\u011frenci oldu\u011fu y\u0131llarda G\u00f6ttingen\u2019de okumu\u015ftu. Birbirleriyle ara s\u0131ra yaz\u0131\u015fmay\u0131 s\u00fcrd\u00fcr\u00fcyorlard\u0131.<\/p>\n<p>Baba Bolyai, uzun bir s\u00fcre Euclid\u2019in be\u015finci aksiyomunu (paralellik aksiyomunun ba\u011f\u0131ms\u0131z bir aksiyom mu oldu\u011fu yoksa di\u011fer aksiyomlardan t\u00fcretilebilir mi oldu\u011fu sorusu, matematik\u00e7ileri y\u00fczy\u0131llard\u0131r u\u011fra\u015ft\u0131r\u0131yordu) kan\u0131tlamaya \u00e7abalam\u0131\u015f ama kesin bir sonuca varamam\u0131\u015ft\u0131.<\/p>\n<p><strong>\u201cVazge\u00e7 bu sevdadan, o\u011flum\u201d<br \/>\n<\/strong>O\u011ful Bolyai, babas\u0131n\u0131n ba\u015fka bir \u015feyle ilgilenmesini rica etmesine kar\u015f\u0131n, onun tutkusunu devrald\u0131 ve kan\u0131t \u00fczerine \u00e7al\u0131\u015fmaya ba\u015flad\u0131. Babas\u0131 ona \u015f\u00f6yle yazm\u0131\u015ft\u0131:<\/p>\n<p>\u201cOndan, namussuz bir ili\u015fkiden nefret etti\u011fin kadar nefret etmelisin. Senin t\u00fcm servetini, sa\u011fl\u0131\u011f\u0131n\u0131, rahat\u0131n\u0131 ve ya\u015fam\u0131n\u0131n t\u00fcm mutlulu\u011funu kaybettirebilir. Bu dipsiz karanl\u0131k, belki de doruklardaki 1000 Newton\u2019u yutacak ve d\u00fcnya hi\u00e7bir zaman ayd\u0131nlanamayacak\u2026\u201d<\/p>\n<p><strong>Gauss daha \u00f6nce bulmu\u015f<br \/>\n<\/strong>Janus Bolyai, Euclid\u2019in aksiyomunun ba\u011f\u0131ms\u0131zl\u0131\u011f\u0131n\u0131 kabul etmeye ba\u015flad\u0131ktan sonra, ba\u015fka bir aksiyoma dayanan bir geometri kurman\u0131n olanakl\u0131 oldu\u011funu buldu. Bu yeni aksiyoma g\u00f6re, d\u00fczlemdeki bir noktadan ge\u00e7en ve d\u00fczlemdeki herhangi bir do\u011fruyu kesmeyen sonsuz say\u0131da do\u011fru \u00e7izilebilirdi.<\/p>\n<figure id=\"attachment_29534\" aria-describedby=\"caption-attachment-29534\" style=\"width: 225px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-29534\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/09\/3-13-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" \/><figcaption id=\"caption-attachment-29534\" class=\"wp-caption-text\">\u00dcnl\u00fc Gauss, kendisinin de bu d\u00fc\u015f\u00fcncelere y\u0131llard\u0131r sahip oldu\u011funu yazm\u0131\u015ft\u0131.<\/figcaption><\/figure>\n<p>Ama Gauss ve Lobachevsky de bu d\u00fc\u015f\u00fcncenin fark\u0131ndayd\u0131. Bolyai bu d\u00fc\u015f\u00fcncelerini babas\u0131n\u0131n yazd\u0131\u011f\u0131 bir kitab\u0131n eki olarak 1832\u2019de yay\u0131mlad\u0131. O\u011flunun geleneklere kar\u015f\u0131 g\u00f6r\u00fc\u015flerinden rahats\u0131z olan Farkas Bolyai, bu konuda Gauss\u2019un g\u00f6r\u00fc\u015f\u00fcne ba\u015fvurdu.<\/p>\n<p>G\u00f6ttingen\u2019den gelen yan\u0131t, gen\u00e7 Bolyai\u2019nin \u00e7al\u0131\u015fmalar\u0131n\u0131 \u015fevkle onayl\u0131yordu. Gauss ayr\u0131ca, Bolyai\u2019yi \u00f6vemeyece\u011fini, \u00e7\u00fcnk\u00fc bunun kendisini \u00f6vmek olaca\u011f\u0131n\u0131, kendisinin de bu d\u00fc\u015f\u00fcncelere y\u0131llard\u0131r sahip oldu\u011funu a\u00e7\u0131klam\u0131\u015ft\u0131.<\/p>\n<p><strong>Son darbe Lobachevsky\u2019den<br \/>\n<\/strong>Gen\u00e7 Bolyai, kendisini b\u00fcy\u00fck bir matematik\u00e7i d\u00fczeyine y\u00fckselten, ama bulu\u015fun ilk sahibi olmad\u0131\u011f\u0131n\u0131 hat\u0131rlatan bu onaylama mektubundan b\u00fcy\u00fck d\u00fc\u015f k\u0131r\u0131kl\u0131\u011f\u0131na u\u011frad\u0131. Lobachevsky\u2019nin ilk kez 1829\u2019da (Bolyai\u2019nin yay\u0131n\u0131ndan \u00fc\u00e7 y\u0131l \u00f6nce) yay\u0131mlanan ve ayn\u0131 devrimci g\u00f6r\u00fc\u015fleri i\u00e7eren kitab\u0131 1840\u2019da Almanca olarak da bas\u0131l\u0131nca \u00fcz\u00fcnt\u00fcs\u00fc dayan\u0131lmaz bir hal ald\u0131.<\/p>\n<figure id=\"attachment_29535\" aria-describedby=\"caption-attachment-29535\" style=\"width: 225px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-29535\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/09\/4-5-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" \/><figcaption id=\"caption-attachment-29535\" class=\"wp-caption-text\">Lobachevsky\u2019nin kitab\u0131n\u0131n daha \u00f6nce yay\u0131mlanm\u0131\u015f olmas\u0131 Bolyai\u2019ye son darbe oldu.<\/figcaption><\/figure>\n<p>Bu tarihten sonra Janos Bolyai matemati\u011fi b\u0131rakm\u0131\u015ft\u0131r!<\/p>\n<p>Bilim tarihi, Bolyai\u2019nin ad\u0131n\u0131, Gauss ve Lobachevsky ile birlikte yeni bir geometri kuram\u0131n\u0131n yarat\u0131c\u0131lar\u0131ndan biri olarak kabul etmi\u015ftir ama Bolyai\u2019nin trajik ya\u015fam\u0131 babas\u0131n\u0131n kehanetini de hakl\u0131 \u00e7\u0131karm\u0131\u015ft\u0131r.<\/p>\n<p><strong>Kaynak<\/strong><\/p>\n<p>1) Dirk J. Struik, K\u0131sa Matematik Tarihi, \u00c7ev. Y. Silier, Sarmal Yay\u0131nlar\u0131.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Janos Bolyai, Macaristan\u2019\u0131n bir ta\u015fra kasabas\u0131ndaki matematik \u00f6\u011fretmeninin o\u011fluydu. Babas\u0131 Farkas Bolyai, \u00fcnl\u00fc matematik\u00e7i Gauss\u2019un da orada \u00f6\u011frenci oldu\u011fu y\u0131llarda G\u00f6ttingen\u2019de okumu\u015ftu. Birbirleriyle ara s\u0131ra yaz\u0131\u015fmay\u0131 s\u00fcrd\u00fcr\u00fcyorlard\u0131. Baba Bolyai, uzun bir s\u00fcre Euclid\u2019in be\u015finci aksiyomunu (paralellik aksiyomunun ba\u011f\u0131ms\u0131z bir aksiyom mu oldu\u011fu yoksa di\u011fer aksiyomlardan t\u00fcretilebilir mi oldu\u011fu sorusu, matematik\u00e7ileri y\u00fczy\u0131llard\u0131r u\u011fra\u015ft\u0131r\u0131yordu) kan\u0131tlamaya \u00e7abalam\u0131\u015f ama [&hellip;]<\/p>\n","protected":false},"author":429,"featured_media":29533,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2314,25],"tags":[4093,4095,675,4094,4096,208],"class_list":["post-29532","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bilim-oykuleri","category-matematik","tag-euclidin-besinci-aksiyomunu","tag-gauss","tag-geometri","tag-janos-bolyai","tag-lobachevsky","tag-matematik"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Bilim ve Gelecek Ekibi\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/bilimvegelecek.com.tr\/index.php\/2018\/09\/22\/genc-bolyai-matematigi-neden-birakti\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"tr_TR\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Bilim ve Gelecek\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Gen\u00e7 Bolyai matemati\u011fi neden b\u0131rakt\u0131? 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