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<p>Sayin Akyildiz</p>
<p>Sayin Ali Bulbulun otoritesine guvenmenizi anlayabilirim. <span style="font-size: 12pt;">Ama bence literature baksaniz, daha iyi edersiniz.</span></p>
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<p>Simdilik sadece "dogru" ya da "yanlis" olabilen hukum cumlelerine dayanan soyut matematigin, sifirdan bire her dogruluk degerine sahip olabilen onermelerle calisan "bulanik mantik"a alan acabilmesi simdilik yakin gorunmuyor.</p>
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<p>Bulanik mantik daha kisa bir sure muhendislik uygulamalarinda kalacaga benziyor. Onun bu alanda kullanisliligi soyutlasma surecini beraberinde getirecek.</p>
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<p>Soyutla somutun etkilesmesi hep boyle olmustur.</p>
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<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt; color:#1F497D">Mehmet Can</span><span style="font-size:10.0pt; color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt; color:#1F497D"> _____________________________________</span><span style="font-size:10.0pt; color:#212121"></span></p>
<p class="MsoNormal" style="margin:3pt 0in 0.0001pt"><span style="font-size:10.0pt; color:#1F497D">Prof. Dr. Mehmet Can</span><span style="font-size:10.0pt; color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt; color:#1F497D">The University Information Technology Center</span></i></b><span style="font-size:10.0pt; color:#212121"></span></p>
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<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt; color:#1F497D">INTERNATIONAL UNIVERSITY OF SARAJEVO </span></i></b><span style="font-size:10.0pt; color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt; color:#1F497D">Hrasnicka cesta 15, 71000 Sarajevo, B&H</span></i><span style="font-size:10.0pt; color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt; color:#1F497D">Phone: +387 33 957 150 ; Fax: +387 33 957 105</span></i><span style="font-size:10.0pt; color:#212121"></span></p>
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<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt; color:#1F497D">mcan@ius.edu.ba ius.edu.ba/mehmet-can</span></i></p>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> yilmaz akyildiz <yilmaz.akyildiz@gmail.com><br>
<b>Sent:</b> Tuesday, October 24, 2017 12:11:31 PM<br>
<b>To:</b> Mehmet Can<br>
<b>Cc:</b> turkmath; tmd; Ali Bülbül<br>
<b>Subject:</b> Re: [Tmd-uye: 1902] Re: $1,000 lık iddiayı unutmuşum dün gece eklemeyi veya "deli" ler 2 ye çıktı, veya ben hiç bir şey bilmiyormuşum!</font>
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<div dir="auto">Sözümü geri almam için Can hoca,
<div dir="auto">Kıymetli dostum Hacettepe li Ali Bülbül ün beni ikna etmesi gerekir!</div>
<div dir="auto">Bu konuda Matematik yani teorik alanda bir şey olduğunu veya yapıldığını sanmıyorum. Fuzzy yi Japonlar beyaz eşya ve video kameralarda kullandılar ama gelmedi devamı. Vestel de öyle. Sizin de mühendislik tatbikatı olarak yaptıracağınız tez
den ben beni şaşırtacak bir netice beklemiyorum. Hadin beni şaşırtın! Çok mutlu olurum.</div>
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<div class="gmail_extra"><br>
<div class="gmail_quote">24 Eki 2017 ÖS 12:58 tarihinde "Mehmet Can" <<a href="mailto:mcan@ius.edu.ba">mcan@ius.edu.ba</a>> yazdı:<br type="attribution">
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<p>Sayin Akyildiz</p>
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<p>Aksama daha cok var. Umarim bu geceniz, onceki gibi olmaz:-)))</p>
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<p>Sizin "bulanik mantik" hakkindaki cumleniz, Arf'in 1965 (te diyelim) topoloji hakkinda soyledigine ne kadar benziyor.</p>
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<p>Sayin Ulug Capar'in şahitliği ie sayin Arf'in fikrini degistirecek kadar yaşadigini ogrendik.</p>
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<p>Sizden de umitli olmamamiz icin hic bir sebep yok.</p>
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<p>Turkiyeli bir ogrenciyle su siralarda baslamak uzere oldugumuz bir doktora tezi macerasinin çercevesi:</p>
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</p>
<p>Neuro Fuzzy Control</p>
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<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt;color:#1f497d"> </span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt;color:#1f497d">Mehmet Can</span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt;color:#1f497d"> _____________________________<wbr>________</span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin:3pt 0in 0.0001pt"><span style="font-size:10.0pt;color:#1f497d">Prof. Dr. Mehmet Can</span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt;color:#1f497d">The University Information Technology Center</span></i></b><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt;color:#1f497d"> </span></i></b><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt;color:#1f497d">INTERNATIONAL UNIVERSITY OF SARAJEVO </span></i></b><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt;color:#1f497d"><a href="https://maps.google.com/?q=Hrasnicka+cesta+15,+71000+Sarajevo&entry=gmail&source=g">Hrasnicka cesta 15, 71000 Sarajevo</a>, B&H</span></i><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt;color:#1f497d">Phone: +387 33 957 150 ; Fax: +387 33 957 105</span></i><span style="font-size:10.0pt;color:#212121"></span></p>
<p></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt;color:#1f497d"><a href="mailto:mcan@ius.edu.ba" target="_blank">mcan@ius.edu.ba</a>
<a href="http://ius.edu.ba/mehmet-can" target="_blank">ius.edu.ba/mehmet-can</a></span></i></p>
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<div id="m_5516678655052380090divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> yilmaz akyildiz <<a href="mailto:yilmaz.akyildiz@gmail.com" target="_blank">yilmaz.akyildiz@gmail.com</a>><br>
<b>Sent:</b> Tuesday, October 24, 2017 11:34:53 AM<br>
<b>To:</b> Mehmet Can<br>
<b>Cc:</b> turkmath; tmd; Zafer Ercan; Ercument Ortacgil<br>
<b>Subject:</b> Re: [Tmd-uye: 1902] Re: $1,000 lık iddiayı unutmuşum dün gece eklemeyi veya "deli" ler 2 ye çıktı, veya ben hiç bir şey bilmiyormuşum!</font>
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bulanık manmtık ölü doğmuş bir çocuk misali gibidir..</div>
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allah rahmet eylesin Lotfi Zadeh de bu dünmyadan geldi geçti gitti.</div>
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<div class="gmail_extra"><br>
<div class="gmail_quote">2017-10-24 12:03 GMT+03:00 Mehmet Can <span dir="ltr"><<a href="mailto:mcan@ius.edu.ba" target="_blank">mcan@ius.edu.ba</a>></span>:<br>
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<p>Bu hengamede "deli" ile "veli"yi ayiracak olan</p>
<p>tanimsiz elemanlar <span style="font-size:12pt">ve tanımlar asamasında bize garip gelen hususlar degil.</span></p>
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<p>Aksiyom sistemindeki tutarsizliklar, teoremlerin ispatindaki cikarim kuralsizliklari olabilirdi.</p>
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<p>Bunlar, Aristo mantiginin ve ona dayandirdigimiz sembolik mantigin yegane mantik olduguna inandigimiz gunlerde daha kolaydi</p>
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<p>Cok degerli mantigin, bulanik mantigin uygulama alanlarina indigi gunumuzde, bu imkan da kaybolmaya yuz tuttu.</p>
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<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt;color:#1f497d"> </span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt;color:#1f497d">Mehmet Can</span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:10.0pt;color:#1f497d"> _____________________________<wbr>________</span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin:3pt 0in 0.0001pt"><span style="font-size:10.0pt;color:#1f497d">Prof. Dr. Mehmet Can</span><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt;color:#1f497d">The University Information Technology Center</span></i></b><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt;color:#1f497d"> </span></i></b><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><b><i><span style="font-size:10.0pt;color:#1f497d">INTERNATIONAL UNIVERSITY OF SARAJEVO </span></i></b><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt;color:#1f497d"><a href="https://maps.google.com/?q=Hrasnicka+cesta+15,+71000+Sarajevo&entry=gmail&source=g" target="_blank">Hrasnicka cesta 15, 71000 Sarajevo</a>, B&H</span></i><span style="font-size:10.0pt;color:#212121"></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt;color:#1f497d">Phone: +387 33 957 150 ; Fax: +387 33 957 105</span></i><span style="font-size:10.0pt;color:#212121"></span></p>
<p></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt"><i><span style="font-size:10.0pt;color:#1f497d"><a href="mailto:mcan@ius.edu.ba" target="_blank">mcan@ius.edu.ba</a>
<a href="http://ius.edu.ba/mehmet-can" target="_blank">ius.edu.ba/mehmet-can</a></span></i></p>
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<div id="m_5516678655052380090m_-513520473564721479divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> Tmd-uye <<a href="mailto:tmd-uye-bounces@listweb.bilkent.edu.tr" target="_blank">tmd-uye-bounces@listweb.bilke<wbr>nt.edu.tr</a>>
on behalf of Mehmet Can <<a href="mailto:Mehmet.Can@listweb.bilkent.edu.tr" target="_blank">Mehmet.Can@listweb.bilkent.ed<wbr>u.tr</a>><br>
<b>Sent:</b> Tuesday, October 24, 2017 10:42:16 AM<br>
<b>To:</b> turkmath; tmd; yilmaz akyildiz<br>
<b>Subject:</b> [Tmd-uye: 1902] Re: $1,000 lık iddiayı unutmuşum dün gece eklemeyi veya "deli" ler 2 ye çıktı, veya ben hiç bir şey bilmiyormuşum!</font>
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Sayin Akyıldız<br>
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Adamın ne dediğini anlamaya sabriniz yok.<br>
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Ilk cümlesini ağzına tikmaya çalışıyorsunuz. <br>
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Bence o Almanca cümle iyi bir ipucu.<br>
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Matematiğin bir çok alanı bir çocuk oyunu gibi kurulur ve işler. <br>
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Önce tanimsiz elemanlariniz olur<br>
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Sonra aksiyomlariniz.<br>
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Oyun, aksiyomlarinizla belirlediğiniz ilişkilerin başka neleri intac ettiğine dair teoremlerinizin ispat çabaları ile devam eder.
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Böylece bazılarına deli sacmasi gelebilecek "precise" bir yapı pekala kurulabilir.<br>
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Matematik precise olmaya doğru gittikçe uygulanabilir olmaktan uzaklaşır, bu yüzden bazılarına deli sacmasi gelmeye yaklaşır.
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Uygulanabilir olmaya yaklaştıkça da precise olmaktan uzaklaşır, bazılarına daha mantıklı gelmeye başlar.
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Sayın Akyıldız ben sizi bu olgunlukta bilirdim. Nerede yanildim? <br>
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M Can<br>
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Get <a href="https://aka.ms/ghei36" target="_blank">Outlook for Android</a></div>
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<div id="m_5516678655052380090m_-513520473564721479divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" color="#000000" style="font-size:11pt"><b>From:</b> Tmd-uye <<a href="mailto:tmd-uye-bounces@listweb.bilkent.edu.tr" target="_blank">tmd-uye-bounces@listweb.bilke<wbr>nt.edu.tr</a>>
on behalf of yilmaz akyildiz <<a href="mailto:yilmaz.akyildiz@listweb.bilkent.edu.tr" target="_blank">yilmaz.akyildiz@listweb.bilke<wbr>nt.edu.tr</a>><br>
<b>Sent:</b> Tuesday, October 24, 2017 8:41:22 AM<br>
<b>To:</b> turkmath; tmd<br>
<b>Subject:</b> [Tmd-uye: 1899] $1,000 lık iddiayı unutmuşum dün gece eklemeyi veya "deli" ler 2 ye çıktı, veya ben hiç bir şey bilmiyormuşum!</font>
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<div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small">
bahsi geçen "manyak" adam kendisinden o kadar emindi ki</div>
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dün gece bana şu teklifi dahi yaptı:</div>
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benim:</div>
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yani sen şimdi diyorsun ki 5 x {5} bir kümedir? soruma</div>
<div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small">
"<span style="background-color:rgb(241,240,240);color:rgb(0,0,0);font-family:"Helvetica Neue","Segoe UI",Helvetica,Arial,sans-serif;font-size:14px;white-space:pre-wrap">evet, aynen. sapına kadar küme"
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<span style="background-color:rgb(241,240,240);color:rgb(0,0,0);font-family:"Helvetica Neue","Segoe UI",Helvetica,Arial,sans-serif;font-size:14px;white-space:pre-wrap"><br>
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<span style="font-family:inherit;background-color:rgb(0,132,255);color:rgb(255,255,255);font-size:14px;white-space:pre-wrap">len manyak bir küme ile bir sayıyı nasıl çarparsın
</span>soruma</div>
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<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_3oh- m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_58nk" style="font-family:inherit"><br>
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<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_3oh- m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_58nk" style="font-family:inherit"><font color="#000000" style="font-size:14px">"hacım,
çarpılanlar hep kümedir.</font><font color="#ff0000"> 1000 dolar iddiasına varım</font></span></div>
</div>
<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_40fu" style="font-size:14px;color:rgb(29,33,41);direction:ltr;float:left;font-family:inherit"><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_2u_d" style="display:flex;width:100px;font-family:inherit"></span></span></div>
<div class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-clearfix m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_o46 m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_3erg m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_29_7 m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-direction_ltr m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-text_align_ltr" style="font-size:14px;zoom:1;direction:ltr;white-space:pre-wrap;font-family:"Helvetica Neue","Segoe UI",Helvetica,Arial,sans-serif;color:rgb(29,33,41)">
<div class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_3058 m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_ui9 m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_hh7 m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_s1- m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_52mr m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_3oh-" id="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-js_v1" style="background-color:rgb(241,240,240);color:rgb(0,0,0);margin:1px 0px;padding:6px 12px;border-radius:4px 1.3em 1.3em;max-width:70%;outline:none;clear:left;float:left;word-wrap:break-word;font-family:inherit">
<div class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_aok" style="font-family:inherit">
<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_3oh- m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-_58nk" style="font-family:inherit">doğal sayılar üzerindeki toplama ve çarpmayı
</span><span style="font-family:inherit">kullanarak onları integers üzerine genişletiyorum</span><span style="font-family:inherit">
</span></div>
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<span style="font-family:inherit;background-color:rgb(0,132,255);color:rgb(255,255,255);font-size:14px;white-space:pre-wrap"><br>
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<span style="font-family:arial,sans-serif">dün gece hepinizden yardım istedim, sağ olsun Muhammed sayesinde biraz uyuyabildim.</span></div>
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<span style="font-family:arial,sans-serif">sabah ekrana bir baktim bir başka "deli" yardımıma koşmuş ama bana faydası yok,</span></div>
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<span style="font-family:arial,sans-serif">hani derler ya "<b><i>deli deliyi görünce çomağını saklarmış</i></b>"</span></div>
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<span style="font-family:arial,sans-serif">aynen o miasl!</span></div>
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<span style="font-family:arial,sans-serif">işde buyurun:</span></div>
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<span style="font-family:arial,sans-serif">From: (buzladım) </span><span dir="ltr" style="font-family:arial,sans-serif">@<a href="http://gmail.com" target="_blank">gmail.com</a>></span></div>
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<div class="gmail_quote">Date: 2017-10-24 5:38 GMT+03:00<br>
Subject: Re:
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adamın birisi mi desem, delinin birisi mi desem, yoksa manyağın teki mi desem?<br>
To: yilmaz akyildiz <br>
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<i>"</i></div>
<i>Adamın dediği doğru,</i></b> böyle bir küme tanımı var tam sayıların..."empty set" ile başlayıp kümeler olarak "inductive" bir şekile inşa ediyorsun.
<div>Ama bence bu fazla önemli değil...ve tam sayıların aslında "ne olduklarını" söylemez, sadece "precise" bir tanım olmaktan öteye gitmez.
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Hayatın precise tanımı ne? Peki hayatı bilmiyor muyuz???
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açtım sabah sabah telefonu bu deliyle konuştum. uyanmış ama henüz yatağını terketmemişti. gözü tavannda düşünüyor olmalı. "<i>hayat yerine pataes de farketmez. prcise tanımını vermekle patatesin tadı değişmez"</i> dedi ve ekledi </div>
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"<i>hayatı da biliyoruz yaşıyoruz ama precise tanımını yapamıyoruz. rakamlar da öyle, onları sezgisel olarak tanıyoruz, kullanıyoruz, percise tanımını vermekle yeni bir şey kazanmıyoruz"</i>... diye de ilave etti bu 2. deli.</div>
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ben de dün geceden beri üğzerimde oluşan kızgınlığı bu "deli" ye aktardım: </div>
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odtü de fizik de öğrenci iken de ben çok kızardım bu gibi foundational mantik-matematik kavramlara. hatırlıyorum bir gün rahmetli Mükremin Neşeli (Langlands onu Princetonm a götürmek istemişti.. bu başlı başına başka bir hikaye) geldi bana "siz fizikçiler örneüğin
Pi sayısını babanıkzın malı gibi kullanıyorsunuz ama onun ne olduğunu bilmiyorsunuz!". çok sinirlenmiştim.. dün gece de çok sinirlendim bu "manyak" kendisinden o derece emin olduğunu ortaya bin dolar koyunca.. </div>
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arkadaşlar, ben kaldım iki "deli" nin arasında. </div>
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çomaklarını bana sokuyorlar.</div>
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işin bir başka tuhaf tarafı bu ikinci deli ile de aramda hala çözümlenmemiş yine
<font color="#ff0000">bin dolar </font>lık bir iddiamız var! yalnız o matematik hususunda değil. onun konusunu utanırım, söyliyemem...</div>
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<div class="gmail_quote">23 Ekim 2017 21:09 tarihinde yilmaz akyildiz <span dir="ltr">
<<a href="mailto:yilmaz.akyildiz@gmail.com" target="_blank">yilmaz.akyildiz@gmail.com</a>></span> yazdı:<br>
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<span style="font-family:arial,sans-serif">adamın birisi mi desem, delinin birisi mi desem, yoksa manyağın teki mi desem?
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diyorki:</div>
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<div dir="ltr"><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">
<div style="font-family:"comic sans ms",sans-serif;font-size:small">"<b><i>her sayı bir kümedir"</i></b>.</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">evet 5 diyor bir kümedir.</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">etme eyleme diyorum </div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">{5} i kastediyor olmayasın diyorum.</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">yo hayır</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">"5 bir kümedir" diye israr ediyor.</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">5 ile kardinalitesi 5 olan kümeyi kestediyor olmayasın diyorum.
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, yani 5 = {{{{{phi}}}}} yimi kastediyorsun? diyorum,</div>
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<div style="font-family:"comic sans ms",sans-serif;font-size:small">hayır "<span style="background-color:rgb(241,240,240);color:rgb(75,79,86);font-family:Helvetica,Arial,sans-serif;font-size:12px;white-space:pre-wrap">ona benzer ama tam değil"
</span> diyor..</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">kümenin tarifini ver diyorum.</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small">"<span style="color:transparent;font-family:sans-serif;font-size:19.9253px;white-space:pre-wrap">n</span><span style="background-color:rgb(241,240,240);color:rgb(75,79,86);font-family:Helvetica,Arial,sans-serif;font-size:12px;white-space:pre-wrap">küme
tarifsizdir hacım. Ve en az bir kümenin var olduğunu var sayıyoruz " </span>diyor..<br>
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<div style="font-family:"comic sans ms",sans-serif;font-size:small">tam çattık yani akşam akşam.</div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">uçaktan da yeni inmişim, karadenizin hava değişimi de etkilemiş beni,
</span></div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">aklımımı kaçırdım, yoksa bir deli
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yemi çattım, anlamadım gitti.</span><span style="color:transparent;white-space:pre-wrap">taa</span></div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">merak da ettim bir taraftan, dahası kızdım,
</span></div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">len bunca sene ben boşuna mı matematik okudum?</span><br>
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<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">hatta öğrettiğim de olmuştur.
</span></div>
</span>
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-"><span style="white-space:pre-wrap">hadi bu iddiayı söyleyen bir matematikçi hatta
</span></span><span style="white-space:pre-wrap">prof. dr
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olmasa, </span></div>
<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">kitaplar yazmamış olsa, kendimden şüphe etmeyeceğim...
</span></div>
<div style="font-family:"comic sans ms",sans-serif;font-size:small"><span style="white-space:pre-wrap">arkadaşlar</span><br>
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<span style="color:rgb(34,34,34)">sizler ne diyorsunuz bu hususta? </span></div>
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<span style="color:rgb(34,34,34)">adam diyor ki,
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"<b><i></i></b></div>
<b><i>sadece o değil,</i></b> </span></div>
<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-" style="color:rgb(34,34,34);font-family:"comic sans ms",sans-serif;font-size:small"><b><i>nx{n} de bir kümedir!"</i></b>
</span>
<div style="color:rgb(34,34,34);font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
... n naturel bir sayı.</div>
</div>
</span><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">
<div style="padding:0px;margin:0px;color:transparent;white-space:pre-wrap;font-size:19.9253px;font-family:sans-serif">
<div style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
<span style="color:rgb(34,34,34)">zaten bütün cıngar da bu iddiadan çıktı. </span>
</div>
</div>
</span>
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<div style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
<span style="color:rgb(34,34,34)">sonra da {nx{n}} kümesini düşünelim diyor. </span>
</div>
</div>
<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">
<div style="padding:0px;margin:0px;color:transparent;white-space:pre-wrap;font-size:19.9253px;font-family:sans-serif">
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<span style="color:rgb(34,34,34)">tamam dedim bak bu güzel. işde bvuradan itibaren devam et.
</span></div>
</div>
</span>
<div style="padding:0px;margin:0px;color:transparent;white-space:pre-wrap;font-size:19.9253px;font-family:sans-serif">
<div style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
<span style="color:rgb(34,34,34)">
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</div>
</span></div>
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</div>
<span style="font-size:small;color:rgb(34,34,34);font-family:"comic sans ms",sans-serif">ama
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</div>
</span>
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<span style="color:rgb(34,34,34);font-family:"comic sans ms",sans-serif;font-size:small"><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">nx{n} ye küme deme
</span>
<div style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
!</div>
</span></div>
<div style="padding:0px;margin:0px;color:transparent;white-space:pre-wrap;font-size:19.9253px;font-family:sans-serif">
<div style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
<span style="color:rgb(34,34,34)"><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">elemanları nx{n} olan topluluğa küme d</span>
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iyebilirsin</div>
, diyorum.</span></div>
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<span style="color:rgb(34,34,34)">olmaaaaz!!! diyor, </span></div>
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<span style="color:rgb(34,34,34)"><span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">nx{n} kümesi n kümesi ile {n} kümes</span>
<div style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
i</div>
nin kartezyen çarpımıdır diyor.</span></div>
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<span class="m_5516678655052380090m_-513520473564721479gmail-m_-8879227116887022549gmail-">
<div style="padding:0px;margin:0px;color:transparent;white-space:pre-wrap;font-size:19.9253px;font-family:sans-serif">
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<span style="color:rgb(34,34,34)">ben sadece "hasbin allahi veni vel vekil" diye biliyorum.</span></div>
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<span style="color:rgb(34,34,34)">sizler ne diyorsunuz?</span></div>
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<span style="color:rgb(34,34,34)">bu polemik bu gece çözülmezse ben bu gece uyuyamam.</span></div>
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<span style="color:rgb(34,34,34)">lütfen yardım ediniz!</span></div>
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</span></div>
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<br>
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<div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
allah razı olsun İlk Yardım Muhammed den geldi:</div>
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<div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small">
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<div class="m_5516678655052380090m_-513520473564721479gmail-gE m_5516678655052380090m_-513520473564721479gmail-iv m_5516678655052380090m_-513520473564721479gmail-gt" style="padding-left:0px;font-size:16px">
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<td class="m_5516678655052380090m_-513520473564721479gmail-gF m_5516678655052380090m_-513520473564721479gmail-gK" style="width:444.472px">
<table cellpadding="0" class="m_5516678655052380090m_-513520473564721479gmail-cf m_5516678655052380090m_-513520473564721479gmail-ix" style="width:444.675px">
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<h3 class="m_5516678655052380090m_-513520473564721479gmail-iw"><span name="Muhammed Uludag" class="m_5516678655052380090m_-513520473564721479gmail-gD" style="font-size:16px">
<div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;display:inline">
From: </div>
Muhammed Uludag</span></h3>
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<td class="m_5516678655052380090m_-513520473564721479gmail-gH">
<div class="m_5516678655052380090m_-513520473564721479gmail-gK"><span id="m_5516678655052380090m_-513520473564721479gmail-:36w" class="m_5516678655052380090m_-513520473564721479gmail-g3" title="Mon, Oct 23, 2017 at 9:06 PM" alt="Mon, Oct 23, 2017 at 9:06 PM">9:06
PM (12 hours ago)</span>
<div class="m_5516678655052380090m_-513520473564721479gmail-zd m_5516678655052380090m_-513520473564721479gmail-bi4">
<span class="m_5516678655052380090m_-513520473564721479gmail-T-KT"><img class="m_5516678655052380090m_-513520473564721479gmail-f m_5516678655052380090m_-513520473564721479gmail-T-KT-JX" alt="" src="https://mail.google.com/mail/u/0/images/cleardot.gif"></span></div>
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<td class="m_5516678655052380090m_-513520473564721479gmail-gH"></td>
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<div class="m_5516678655052380090m_-513520473564721479gmail-T-I m_5516678655052380090m_-513520473564721479gmail-J-J5-Ji m_5516678655052380090m_-513520473564721479gmail-T-I-Js-IF m_5516678655052380090m_-513520473564721479gmail-aaq m_5516678655052380090m_-513520473564721479gmail-T-I-ax7 m_5516678655052380090m_-513520473564721479gmail-L3">
<img class="m_5516678655052380090m_-513520473564721479gmail-hB m_5516678655052380090m_-513520473564721479gmail-T-I-J3 m_5516678655052380090m_-513520473564721479gmail-mK" alt="" src="https://mail.google.com/mail/u/0/images/cleardot.gif"></div>
<div id="m_5516678655052380090m_-513520473564721479gmail-:36l" class="m_5516678655052380090m_-513520473564721479gmail-T-I m_5516678655052380090m_-513520473564721479gmail-J-J5-Ji m_5516678655052380090m_-513520473564721479gmail-T-I-Js-Gs m_5516678655052380090m_-513520473564721479gmail-aap m_5516678655052380090m_-513520473564721479gmail-T-I-awG m_5516678655052380090m_-513520473564721479gmail-T-I-ax7 m_5516678655052380090m_-513520473564721479gmail-L3">
<img class="m_5516678655052380090m_-513520473564721479gmail-hA m_5516678655052380090m_-513520473564721479gmail-T-I-J3" alt="" src="https://mail.google.com/mail/u/0/images/cleardot.gif"></div>
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<div id="m_5516678655052380090m_-513520473564721479gmail-:36y" class="m_5516678655052380090m_-513520473564721479gmail-ii m_5516678655052380090m_-513520473564721479gmail-gt m_5516678655052380090m_-513520473564721479gmail-adP m_5516678655052380090m_-513520473564721479gmail-adO" style="font-size:16px;margin-bottom:0px;margin-left:0px;padding-bottom:5px">
<div id="m_5516678655052380090m_-513520473564721479gmail-:36z" class="m_5516678655052380090m_-513520473564721479gmail-a3s m_5516678655052380090m_-513520473564721479gmail-aXjCH m_5516678655052380090m_-513520473564721479gmail-m15f4a6acc9031136">
<div dir="auto">
<div class="m_5516678655052380090m_-513520473564721479gmail-m_-8716946271296680622bioname" dir="auto" style="color:rgb(102,51,0);font-family:"Times New Roman",Times,serif;font-size:27px;font-weight:700;text-align:center">
<i style="font-family:"Comic Sans MS",Chalkboard,"Marker felt"">Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk.</i></div>
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<div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small">
<img class="m_5516678655052380090m_-513520473564721479gmail-ajT" style="color:rgb(102,51,0);font-family:"Times New Roman",Times,serif;font-size:27px;font-weight:700;text-align:center" src="https://ssl.gstatic.com/ui/v1/icons/mail/images/cleardot.gif"></div>
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