{"id":2456,"date":"2021-03-22T23:04:31","date_gmt":"2021-03-22T23:04:31","guid":{"rendered":"http:\/\/bilmat.org\/calisma_grubu\/?p=2456"},"modified":"2021-03-23T00:02:14","modified_gmt":"2021-03-23T00:02:14","slug":"matemati%cc%87ge-farkli-boyutlardan-bakmak","status":"publish","type":"post","link":"https:\/\/bilmat.org\/calisma_grubu\/matemati%cc%87ge-farkli-boyutlardan-bakmak\/","title":{"rendered":"Alanya Alaaddin Keykubat \u00dcniversitesi&#8217;nin d\u00fczenledi\u011fi konferansta Prof. Dr. Adnan BAK\u0130 &#8220;MATEMAT\u0130\u011eE FARKLI BOYUTLARDAN BAKMAK&#8221; konulu konu\u015fmas\u0131n\u0131 sundu."},"content":{"rendered":"<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat.png\"><img loading=\"lazy\" class=\"size-medium wp-image-2457\" src=\"http:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-400x215.png\" alt=\"ab-6 alaaddin keykubat\" width=\"300\" height=\"161\" srcset=\"https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-400x215.png 400w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-250x135.png 250w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-768x413.png 768w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-650x350.png 650w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-150x81.png 150w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-50x27.png 50w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-100x54.png 100w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-200x108.png 200w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-300x161.png 300w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-350x188.png 350w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-450x242.png 450w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-500x269.png 500w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-550x296.png 550w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-800x431.png 800w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-1200x646.png 1200w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat-1600x861.png 1600w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-6-alaaddin-keykubat.png 1919w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"http:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11.png\"><img loading=\"lazy\" class=\"size-medium wp-image-2458 alignright\" src=\"http:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-400x215.png\" alt=\"ab-11\" width=\"300\" height=\"161\" srcset=\"https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-400x215.png 400w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-250x134.png 250w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-768x413.png 768w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-650x349.png 650w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-150x81.png 150w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-50x27.png 50w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-100x54.png 100w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-200x108.png 200w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-300x161.png 300w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-350x188.png 350w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-450x242.png 450w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-500x269.png 500w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-550x296.png 550w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-800x430.png 800w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-1200x645.png 1200w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11-1600x860.png 1600w, https:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2021\/03\/ab-11.png 1920w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"http:\/\/bilmat.org\/calisma_grubu\/wp-content\/uploads\/2020\/08\/abaki-dr-\u00e7etin.png\"><br \/>\n<\/a><\/p>\n<p>Alanya Alaaddin Keykubat \u00dcniversitesi E\u011fitim Fak\u00fcltesi Matematik E\u011fitimi ABD&#8217;n\u0131n d\u00fczenlemi\u015f oldu\u011fu konferansa kat\u0131lan Prof. Dr. Adnan Baki &#8220;<em><strong>Matemati\u011fe Farkl\u0131 Boyutlardan Bakmak<\/strong><\/em>&#8221; ba\u015fl\u0131kl\u0131 konu\u015fmas\u0131nda matemati\u011fin bar\u0131nd\u0131rd\u0131\u011f\u0131 bilginin objektif, do\u011fru, kesin ve tutarl\u0131 oldu\u011funa ili\u015fkin genel kanaatimizin her zaman do\u011fru olmad\u0131\u011f\u0131n\u0131; matemati\u011fin i\u00e7inde de belirsizlikler, tutars\u0131zl\u0131klar ve paradokslar\u0131n varl\u0131\u011f\u0131n\u0131 dile getirdi.<\/p>\n<p>Prof. Dr. Adnan Baki, matematikteki boyut kavram\u0131n\u0131 felsefi bir yakla\u015f\u0131mla ele ald\u0131\u011f\u0131 konu\u015fmas\u0131nda \u015funlar\u0131 vurgulad\u0131:<\/p>\n<p>19. y\u00fczy\u0131l bilim insanlar\u0131ndan Abbott (1838-1926)&#8217;un yazd\u0131\u011f\u0131 &#8220;<em>The Flatland (D\u00fcz \u00dclke)<\/em>&#8221; adl\u0131 fantazi roman\u0131, Einstein, Russle gibi bilim insanlar\u0131na da ilham kayna\u011f\u0131 olmu\u015ftur.<\/p>\n<p>Sakinleri &#8220;nokta, do\u011fru, \u00fc\u00e7gen, kare, \u00e7ember, k\u00fcre&#8221; gibi matemati\u011fin temel elemanlar\u0131 olan &#8220;D\u00fcz \u00dclke&#8221; metaforu \u00fczerinden, matematikteki ve reel d\u00fcnyadaki kar\u015f\u0131l\u0131\u011f\u0131 olarak boyut kavram\u0131 ele al\u0131nm\u0131\u015ft\u0131r.<\/p>\n<p>1-boyutlu, 2-boyutlu, 3-boyutlu matematik elemanlar ve ger\u00e7ek nesneler aras\u0131ndaki ili\u015fkiler, bir \u00f6r\u00fcnt\u00fc sistemati\u011fi i\u00e7inde anla\u015f\u0131labilmektedir. 1-boyutlu &#8220;do\u011fru par\u00e7alar\u0131na&#8221; k\u00fc\u00e7\u00fcmseyerek bakan 2-boyutlu &#8220;kare&#8221;, 3-boyutlu &#8220;k\u00fcreyi&#8221; ancak 2-boyutluya indirgeyerek alg\u0131layabiliyor. Bu \u00f6rne\u011fi sizde \u015fu \u015fekilde deneyimleyebilirsiniz:<\/p>\n<p>Masan\u0131n \u00fczerinde &#8220;\u00e7ember&#8221; \u015feklindeki bir demir paray\u0131, masa hizas\u0131na yakla\u015ft\u0131k\u00e7a &#8220;elips&#8221; gibi, g\u00f6z\u00fcn\u00fcz tam masa hizas\u0131na gelince de bir &#8220;do\u011fru par\u00e7as\u0131&#8221; olarak g\u00f6r\u00fcrs\u00fcn\u00fcz.<\/p>\n<p>Biz 3-boyutlu oldu\u011fumuzdan, en fazla 3-boyuta sahip nesneleri alg\u0131layabiliyoruz, daha y\u00fcksek boyutlar\u0131 ancak sezgisel olarak alg\u0131l\u0131yoruz, maddi veya fiziksel olarak de\u011fil. \u00d6rne\u011fin r\u00fcyam\u0131zda bizi ziyarete gelen 4-boyutlu birini, biz 3-boyuta indirgeyerek anlamaya \u00e7al\u0131\u015faca\u011f\u0131m\u0131z i\u00e7in, onun baz\u0131 \u00f6zelliklerini eksik alg\u0131layaca\u011f\u0131z.<\/p>\n<p>Einstein 4. boyuttan s\u00f6z ederken, onun ilk \u00fc\u00e7 boyutun birimlerinden farkl\u0131 olmas\u0131 gerekti\u011fini s\u00f6yl\u00fcyor. 4. boyutun zaman olmas\u0131 gerekti\u011fini d\u00fc\u015f\u00fcnerek zaman\u0131 fiziksel hesaplamalar\u0131na dahil ediyor.<\/p>\n<p>Tersine olarak, iki boyutlu bir karenin i\u00e7ine, 3-boyutlu bir kar\u0131ncay\u0131 veya insan\u0131 hapsedemeyiz.&#8221;<\/p>\n<p>Matemati\u011fin, hesap yapma-sonu\u00e7 bulma rutininin d\u0131\u015f\u0131nda, farkl\u0131 bir boyutunun kat\u0131l\u0131mc\u0131larla payla\u015f\u0131ld\u0131\u011f\u0131 felsefe tad\u0131nda sunumun ard\u0131ndan, soru ve cevaplarla program sona erdi.<\/p>\n<p>.<\/p>\n<p>Ger\u00e7ekle\u015ftirilen sunumun tamam\u0131n\u0131\u00a0 Alanya Alku Youtube kanal\u0131 \u00fczerinden veya\u00a0 direkt olarak <a href=\"https:\/\/www.youtube.com\/watch?v=LR2hsSkU-RU&amp;t=653s\">buradan<\/a>\u00a0<strong>izleyebilirsiniz.\u00a0<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Alanya Alaaddin Keykubat \u00dcniversitesi E\u011fitim Fak\u00fcltesi Matematik E\u011fitimi ABD&#8217;n\u0131n d\u00fczenlemi\u015f oldu\u011fu konferansa kat\u0131lan Prof. Dr. Adnan Baki &#8220;Matemati\u011fe Farkl\u0131 Boyutlardan Bakmak&#8221; ba\u015fl\u0131kl\u0131 konu\u015fmas\u0131nda matemati\u011fin bar\u0131nd\u0131rd\u0131\u011f\u0131 bilginin objektif, do\u011fru, kesin ve tutarl\u0131 oldu\u011funa ili\u015fkin genel kanaatimizin her zaman do\u011fru olmad\u0131\u011f\u0131n\u0131; matemati\u011fin i\u00e7inde de belirsizlikler, tutars\u0131zl\u0131klar ve paradokslar\u0131n varl\u0131\u011f\u0131n\u0131 dile getirdi. Prof. Dr. Adnan Baki, matematikteki [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2457,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[104,1],"tags":[],"_links":{"self":[{"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/posts\/2456"}],"collection":[{"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/comments?post=2456"}],"version-history":[{"count":2,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/posts\/2456\/revisions"}],"predecessor-version":[{"id":2467,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/posts\/2456\/revisions\/2467"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/media\/2457"}],"wp:attachment":[{"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/media?parent=2456"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/categories?post=2456"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bilmat.org\/calisma_grubu\/wp-json\/wp\/v2\/tags?post=2456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}