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<p>Degerli Meslekdaslarim</p>
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<p>Bu kadar laf-u guzaftan sonra basa donelim ve "kumeleri toplayan" degerli meslekdasimiza, eger isterse, kuramini anlatmasi icin burada, yada daha uygun bir ortamda imkan taniyalim.</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" color="#000000" style="font-size:11pt"><b>From:</b> Tmd-uye <tmd-uye-bounces@listweb.bilkent.edu.tr> on behalf of yilmaz akyildiz <yilmaz.akyildiz@listweb.bilkent.edu.tr><br>
<b>Sent:</b> Tuesday, October 24, 2017 4:52 PM<br>
<b>To:</b> turkmath; tmd<br>
<b>Subject:</b> [Tmd-uye: 1910] Mehmet Can dan Karadeniz - Ege farkı..</font>
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<span style="font-family:arial,sans-serif">2017-10-24 12:48 GMT+03:00 Mehmet Can </span>
<span dir="ltr" style="font-family:arial,sans-serif"><<a href="mailto:mcan@ius.edu.ba" target="_blank">mcan@ius.edu.ba</a>></span><span style="font-family:arial,sans-serif">:</span><br>
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<p><span style="font-size:12pt">Karadenizlilerin canı tezliğine karşılık Egeliler tolerans ve ağır tabanlılıkları ile bilinir.
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ege de yaşayan bir karadenizli olarak bunu her an görüyorum ve yaşıyorum.</div>
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ve şu fıkranın gerçek olduğuna da inanıyorum:</div>
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zeybek dansını seyreden Temel:</div>
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<i>"heç zeybek oynamadum ama o kadar tüşünürsam pen de oynarum"</i></div>
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şimdi bir de benim, hem de sol omuzdan ameliyatlı halimle, karadeniz oyunu oynamamı seyredelum: kanun yok, kural yok, müzik ile allah ne verdiyse salla gitsin...</div>
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<a href="https://youtu.be/q0mXOcjofZ8">https://youtu.be/q0mXOcjofZ8</a><br>
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<p><span style="font-size:12pt">"Hayal kirikligina ugrattiniz" yerine "sasirttiniz" desem daha dogru olacakmis. Ozur dilerim.</span><br>
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<p>Abstre/konkre ayirimi bazilari icin cok derin olabilir. Arf, karsisindaki adamda bunu gözlemlemis olabilir.</p>
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<p class="MsoNormal" style="margin-bottom:0.0001pt"><span style="font-size:11pt; color:rgb(31,73,125)"> Ben sizi bu ikisi arasinda rahatca gezinebilen bir matematikci olarak biliyorum.</span><span style="font-size:10.0pt; color:#212121"></span></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"> _____________________________<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>
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<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_7109425191256783820m_2095177683849104006divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" color="#000000" style="font-size:11pt"><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 11:31:41 AM<br>
<b>To:</b> Mehmet Can<br>
<b>Cc:</b> turkmath; tmd<br>
<b>Subject:</b> Re: [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 style="font-family:"comic sans ms",sans-serif; font-size:small">sayın Can Mehmet,</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">şahsım hususunda sizi yanılttığım için ne diyeceğimi bilemiyorum.</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">"<i>özürü kabahatinden de büyük"</i> durumuna düşmemek için </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">gelin bir kafa yoklaması yapayım:</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">memleketim karadeniz dağlarından yeni dönmüştüm. </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><a href="https://youtu.be/l6Zk2Q8gCb8" target="_blank">https://youtu.be/l6Zk2Q8gCb8</a><br>
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<div style="font-family:"comic sans ms",sans-serif; font-size:small">bizim oralarda hayat gerçekle iç içedir, felsefeye, kuru laflara, </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">laga lugaya pek yer verilmez. adam çektimi seni alnından vurur. </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">netekim karadenizden hacı hoca çıkar da felsefeci, derin düşünürler çıkmaz. </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">bu arada kuru dedik de meğerse düğünlerde sıkılan tabancaların çoğu kuru sıkı işmiş. yeğenin torununun düğününde de sabaha kadar kuru sıkı ama bazılarıda gerçek mermi sıkıldı. anlamadığım
bir olaydır bu..</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><a href="https://youtu.be/hj2FizRJk90" target="_blank">https://youtu.be/hj2FizRJk90</a><br>
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<div style="font-family:"comic sans ms",sans-serif; font-size:small">diyeceğim, ben fizik kökenliyim, artı karadeniz gerçeğim de olunca </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">ben o bahsettiğim deliliklere gelemem!</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">bakın 2. deli şunu da itiraf etti bu sabah yatağında sırt üstü yatarken:</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">ben ona "<i>hiç bana göre değil bu gibi mantık-matematik konuları"</i> dediğimde</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">demesin mi bana:</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">"<i>odtü de ilk yıllarım da ben fena takmıştım bu konulara, bir gün
<b>Cahit Arf </b>a gittim ve derdimi anlattım, Hoca bana demesin mi 'takma kafanı bu gibi konulara, sen git konkre matematiğini çalış öğren yap!' O günden sonra bir daha bulaşmadım ben o konulara. Ama sen bu sabah beni bir "manyak" ın "integers" makalesi ile
uyandırdın. Okumadım çünkü benzer yapılara ben önceden rastlamıştım. Doplayısı ile sana ilk cümlem olarak şunu yazdım: "<span style="font-size:14pt; font-family:"Comic Sans MS"; font-weight:700; vertical-align:baseline; white-space:pre-wrap">"</span><span style="font-size:14pt; font-family:Arial; font-weight:700; vertical-align:baseline; white-space:pre-wrap">Adamın
dediği doğru,</span><span style="font-size:14pt; font-family:Arial; vertical-align:baseline; white-space:pre-wrap"> böyle bir küme tanımı var tam sayıların..."empty set" ile başlayıp kümeler olarak "inductive" bir şekile inşa ediyorsun."</span></i></div>
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<div style="font-family:"comic sans ms",sans-serif; font-size:small">(yahu ben de hangi konuyu açsam bir yerde olay yine gidip Cahit Hoca ya dayanıyor..)</div>
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<div style="font-family:"comic sans ms",sans-serif; font-size:small">Mehmet Can Hoca,</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">umarım sizi şahsım hususunda hayal kırıklığınızdan biraz uzaklaşmıştırım.</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">ilginiz için teşekkürlerimle,</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">y.a.</div>
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<div class="gmail_quote">2017-10-24 11:42 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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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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<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 style="font-family:"comic sans ms",sans-serif; font-size:small">bahsi geçen "manyak" adam kendisinden o kadar emindi ki</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">dün gece bana şu teklifi dahi yaptı:</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">benim:</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">yani sen şimdi diyorsun ki 5 x {5} bir kümedir? soruma</div>
<div 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" </span></div>
<div 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"><br>
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<div style="font-family:"comic sans ms",sans-serif; font-size:small"><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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<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-clearfix m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_o46 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3erg m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_29_7 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-direction_ltr m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-text_align_ltr" style="zoom:1; direction:ltr; white-space:pre-wrap; font-family:"Helvetica Neue","Segoe UI",Helvetica,Arial,sans-serif">
<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3058 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_ui9 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_hh7 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_s1- m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_52mr m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3oh-" id="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-js_pt" style="background-color:rgb(241,240,240); margin:1px 0px; padding:6px 12px; border-radius:1.3em 1.3em 1.3em 4px; max-width:70%; outline:none; clear:left; float:left; word-wrap:break-word; font-family:inherit">
<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_aok" style="font-size:14px; color:rgb(0,0,0); font-family:inherit">
<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3oh- m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_58nk" style="font-family:inherit"><br>
</span></div>
<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_aok" style="font-family:inherit">
<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3oh- m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_40fu" style="font-size:14px; color:rgb(29,33,41); direction:ltr; float:left; font-family:inherit"><span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_2u_d" style="display:flex; width:100px; font-family:inherit"></span></span></div>
<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-clearfix m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_o46 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3erg m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_29_7 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-direction_ltr m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3058 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_ui9 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_hh7 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_s1- m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_52mr m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3oh-" id="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_aok" style="font-family:inherit">
<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-_3oh- m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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>
</div>
</div>
</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:inherit; background-color:rgb(0,132,255); color:rgb(255,255,255); font-size:14px; white-space:pre-wrap"><br>
</span></div>
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<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif"><br>
</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif"><br>
</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif"><br>
</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif">dün gece hepinizden yardım istedim, sağ olsun Muhammed sayesinde biraz uyuyabildim.</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif">sabah ekrana bir baktim bir başka "deli" yardımıma koşmuş ama bana faydası yok,</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif">hani derler ya "<b><i>deli deliyi görünce çomağını saklarmış</i></b>"</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif">aynen o miasl!</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif">işde buyurun:</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><span style="font-family:arial,sans-serif"><br>
</span></div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small"><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>
</div>
<div class="gmail_quote">Date: 2017-10-24 5:38 GMT+03:00<br>
Subject: Re:
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
adamın birisi mi desem, delinin birisi mi desem, yoksa manyağın teki mi desem?<br>
To: yilmaz akyildiz <br>
<br>
<div dir="ltr"><b>
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
<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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"</div>
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<div>
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<div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
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>
</div>
<div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">"<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>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">ben de dün geceden beri üğzerimde oluşan kızgınlığı bu "deli" ye aktardım: </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">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>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">arkadaşlar, ben kaldım iki "deli" nin arasında. </div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">çomaklarını bana sokuyorlar.</div>
<div style="font-family:"comic sans ms",sans-serif; font-size:small">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>
</div>
</div>
<div id="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-m_-7486977441128676945DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2">
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<div id="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-m_-7486977441128676945DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2">
<br>
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<div class="gmail_extra">
<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>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex; border-left:1px solid rgb(204,204,204); padding-left:1ex">
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<span style="font-family:arial,sans-serif">adamın birisi mi desem, delinin birisi mi desem, yoksa manyağın teki mi desem?
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
</span>
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diyorki:</div>
<div class="gmail_quote">
<div dir="ltr"><span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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.
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
, yani 5 = {{{{{phi}}}}} yimi kastediyorsun? diyorum,</div>
</div>
<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>
</div>
<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
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
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>
</div>
<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_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
olmasa, </span></div>
<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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>
</div>
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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)">sizler ne diyorsunuz bu hususta? </span></div>
</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)">adam diyor ki,
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
"<b><i></i></b></div>
<b><i>sadece o değil,</i></b> </span></div>
<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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>
<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)">sonra da {nx{n}} kümesini düşünelim diyor. </span>
</div>
</div>
<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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)">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)">
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
</span></div>
<div style="font-size:small; color:rgb(34,34,34); font-family:"comic sans ms",sans-serif; display:inline">
</div>
<span style="font-size:small; color:rgb(34,34,34); font-family:"comic sans ms",sans-serif">ama
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
</span>
<div style="color:rgb(34,34,34); font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
</div>
<span style="color:rgb(34,34,34); font-family:"comic sans ms",sans-serif; font-size:small"><span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-">elemanları nx{n} olan topluluğa küme d</span>
<div style="font-family:"comic sans ms",sans-serif; font-size:small; display:inline">
iyebilirsin</div>
, diyorum.</span></div>
</div>
<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)">olmaaaaz!!! diyor, </span></div>
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<span style="color:rgb(34,34,34)"><span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-">nx{n} kümesi n kümesi ile {n} kümes</span>
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i</div>
nin kartezyen çarpımıdır diyor.</span></div>
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<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-m_-8879227116887022549gmail-">
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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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allah razı olsun İlk Yardım Muhammed den geldi:</div>
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<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-gE m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-iv m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-gt" style="padding-left:0px; font-size:16px">
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<h3 class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-iw">
<span name="Muhammed Uludag" class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-gD" style="font-size:16px">
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From: </div>
Muhammed Uludag</span></h3>
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<span id="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-:36w" class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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>
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<span class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-KT"><img class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-f m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-KT-JX" alt="" style="user-select: none;" src="https://mail.google.com/mail/u/0/images/cleardot.gif"></span></div>
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<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-I m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-J-J5-Ji m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-I-Js-IF m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-aaq m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-I-ax7 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-L3">
<img class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-hB m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-I-J3 m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-mK" alt="" style="user-select: none;" src="https://mail.google.com/mail/u/0/images/cleardot.gif"></div>
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<img class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-hA m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-T-I-J3" alt="" style="user-select: none;" src="https://mail.google.com/mail/u/0/images/cleardot.gif"></div>
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<div class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-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 style="font-family:"comic sans ms",sans-serif; font-size:small"><img class="m_7109425191256783820m_2095177683849104006m_-4273496509338284365gmail-ajT" style="color: rgb(102, 51, 0); font-weight: 700; text-align: center; user-select: none;" src="https://ssl.gstatic.com/ui/v1/icons/mail/images/cleardot.gif"></div>
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